Dr. Emanuel Malek
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Erforschung der Landschaft der Stringtheorie Flussvakua durch Exceptional Field Theory
Quelle ↗Förderer: DFG Nachwuchsgruppe Zeitraum: 08/2020 - 09/2025 Projektleitung: Dr. Emanuel Malek
GRK 2575: Überdenken der Quantenfeldtheorie
Quelle ↗Förderer: DFG Graduiertenkolleg Zeitraum: 04/2020 - 03/2029 Projektleitung: Prof. Dr. Jan Plefka
NW/1: Erforschung der Landschaft der Stringtheorie Flussvakua durch Exceptional Field Theory
Quelle ↗Förderer: DFG Nachwuchsgruppe Zeitraum: 08/2020 - 09/2025 Projektleitung: Dr. Emanuel Malek
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Publikationen25
Top 25 nach Zitationen — Quelle: OpenAlex (BAAI/bge-m3 embedded für Matching).
Journal of High Energy Physics · 105 Zitationen · DOI
We revisit the SL(5) U-duality manifest action constructed by Berman and Perry in an extended spacetime. Upon choosing a four-dimensional solution to the section condition constraint, the theory reduces to a four-dimensional truncation of eleven-dimensional supergravity. In this paper, we show that the theory contains more than this M-theory reduction. The section condition also admits an SL(5) inequivalent three-dimensional solution, upon which the action directly reduces to a three-dimensional truncation of type IIB supergravity. We also discuss the reduction to IIB∗ supergravity.
Journal of High Energy Physics · 98 Zitationen · DOI
We use a geometric approach to construct a flux formulation for the SL(5) U-duality manifest exceptional field theory. The resulting formalism is well-suited for studying gauged supergravities with geometric and non-geometric fluxes. Here we describe all such fluxes for both M-theory and IIB supergravity including the Ramond-Ramond fields for compactifications to seven dimensions. We define the locally non-geometric “R-flux” and globally non-geometric “Q-flux” for M-theory and find a new locally non-geometric R-flux for the IIB theory. We show how these non-geometric fluxes can be understood geometrically and give some examples of how they can be generated by acting with dualities on solutions with geometric or field-strength flux.
Physical Review Letters · 84 Zitationen · DOI
Exceptional field theories yield duality covariant formulations of supergravity. We show that they provide a highly efficient tool to compute the Kaluza-Klein mass spectra associated with compactifications around various background geometries relevant for string theory and holographic applications. This includes geometries with little to no remaining symmetries, hardly accessible to standard methods. As an illustration, we determine the masses of some higher Kaluza-Klein multiplets around warped geometries corresponding to some prominent N=2 supersymmetric anti-de Sitter vacua in maximal supergravity.
Fortschritte der Physik · 72 Zitationen · DOI
Abstract We study ‐dimensional half‐maximal flux backgrounds using exceptional field theory. We define the relevant generalised structures and also find the integrability conditions which give warped half‐maximal Minkowski D and AdS D vacua. We then show how to obtain consistent truncations of type II / 11‐dimensional SUGRA which break half the supersymmetry. Such truncations can be defined on backgrounds admitting exceptional generalised structures, where , and N is the number of vector multiplets obtained in the lower‐dimensional theory. Our procedure yields the most general embedding tensors satisfying the linear constraint of half‐maximal gauged SUGRA. We use this to prove that all half‐maximal warped AdS D and Minkowski D vacua of type II / 11‐dimensional SUGRA admit a consistent truncation keeping only the gravitational supermultiplet. We also show to obtain heterotic double field theory from exceptional field theory and comment on the M‐theory / heterotic duality. In five dimensions, we find a new SO(5, N ) double field theory with a ‐dimensional extended space. Its section condition has one solution corresponding to 10‐dimensional supergravity and another yielding six‐dimensional SUGRA.
Classical and Quantum Gravity · 68 Zitationen · DOI
DSB is supported by the STFC grant ST/L000415/1 'String Theory, Gauge Theory and Duality'. CB is supported in part by the Belgian Federal Science Policy Office through the Interuniversity Attraction Pole P7/37 'Fundamental Interactions', and in part by the 'FWO-Vlaanderen' through the project G.0207.14N and by the Vrije Universiteit Brussel through the Strategic Research Program 'High-Energy Physics'. EM is supported by the ERC Advanced Grant "Strings and Gravity' (Grant No. 32004). FJR is supported by an STFC studentship.
Physics Letters B · 61 Zitationen · DOI
We show how to construct supersymmetric warped AdS7 vacua of massive IIA and AdS6 vacua of IIB supergravity, using “half-maximal structures” of exceptional field theory. We use this formalism to obtain the minimal consistent truncations around these AdS vacua.
Physical review. D/Physical review. D. · 59 Zitationen · DOI
Exceptional field theories yield duality-covariant formulations of higher-dimensional supergravity. They have proven to be an efficient tool for the construction of consistent truncations around various background geometries. In this paper, we demonstrate how the formalism can moreover be turned into a powerful tool for computing the Kaluza-Klein mass spectra around these backgrounds. Most of these geometries have little to no remaining symmetries and their spectra are accessible to standard methods only in selected subsectors. The present formalism not only grants access to the full Kaluza-Klein spectra but also provides the scheme to identify the resulting mass eigenstates in higher dimensions. As a first illustration, we rederive in compact form the mass spectrum of IIB supergravity on ${S}^{5}$. We further discuss the application of our formalism to determine the mass spectra of higher Kaluza-Klein multiplets around the warped geometries corresponding to some prominent $\mathcal{N}=2$ and $\mathcal{N}=0$ AdS vacua in maximal supergravity.
Physical Review Letters · 55 Zitationen · DOI
Stable nonsupersymmetric anti-de Sitter (AdS) vacua of string theory are widely believed not to exist. In this Letter, we analytically compute the full bosonic Kaluza-Klein spectrum around the G_{2}-invariant nonsupersymmetric AdS_{4} solution of massive IIA supergravity and show that it is perturbatively stable. We also provide evidence that six other nonsupersymmetric AdS_{4} solutions of massive IIA supergravity are perturbatively stable. Since previous studies have indicated that these AdS vacua may also be nonperturbatively stable, our findings pose a challenge to the swampland conjecture.
54 Zitationen · DOI
These lecture notes are based on a series of lectures given in 2017 at the XIII Modave Summer School in Mathematical Physics. These notes are therefore aimed at beginning PhD students in theoretical physics and cover topics in homotopy theory, homology and cohomology, as well as fibre bundles, with applications in condensed matter systems, electromagnetism and Yang-Mills gauge theories.
Journal of High Energy Physics · 43 Zitationen · DOI
A bstract The exceptional Drinfel’d algebra (EDA) is a Leibniz algebra introduced to provide an algebraic underpinning with which to explore generalised notions of U-duality in M-theory. In essence, it provides an M-theoretic analogue of the way a Drinfel’d double encodes generalised T-dualities of strings. In this note we detail the construction of the EDA in the case where the regular U-duality group is E 6(6) . We show how the EDA can be realised geometrically as a generalised Leibniz parallelisation of the exceptional generalised tangent bundle for a six-dimensional group manifold G , endowed with a Nambu-Lie structure. When the EDA is of coboundary type, we show how a natural generalisation of the classical Yang-Baxter equation arises. The construction is illustrated with a selection of examples including some which embed Drinfel’d doubles and others that are not of this type.
Classical and Quantum Gravity · 37 Zitationen · DOI
We construct O(D,D) invariant actions for the bosonic string and RNS superstring, using Hamiltonian methods and ideas from double field theory. In this framework the doubled coordinates of double field theory appear as coordinates on phase space and T-duality becomes a canonical transformation. Requiring the algebra of constraints to close leads to the section condition, which splits the phase space coordinates into spacetime coordinates and momenta.
Journal of High Energy Physics · 34 Zitationen · DOI
We use exceptional field theory to establish a duality between certain consistent 7-dimensional truncations with maximal SUSY from IIA to IIB. We use this technique to obtain new consistent truncations of IIB on S 3 and H p,q and work out the explicit reduction formulas in the internal sector. We also present uplifts for other gaugings of 7-d maximal SUGRA, including theories with a trombone gauging. Some of the latter can only be obtained by a non-geometric compactification.
7-dimensional N $$ \mathcal{N} $$ = 2 consistent truncations using SL(5) exceptional field theory
2017Journal of High Energy Physics · 31 Zitationen · DOI
We show how to construct seven-dimensional half-maximally supersymmetric consistent truncations of 11-/10-dimensional SUGRA using SL(5) exceptional field theory. Such truncations are defined on generalised SU(2)-structure manifolds and give rise to seven-dimensional half-maximal gauged supergravities coupled to n vector multiplets and thus with scalar coset space $$ {\mathbb{R}}^{+}\times \mathrm{O}\left(3,\ n\right)/\mathrm{O}(3)\times \mathrm{O}(n) $$ . The consistency conditions for the truncation can be written in terms of the generalised Lie derivative and take a simple geometric form. We show that after imposing certain “doublet” and “closure” conditions, the embedding tensor of the gauged supergravity is given by the intrinsic torsion of generalised SU(2)-connections, which for consistency must be constant, and automatically satisfies the linear constraint of seven-dimensional half-maximal gauged supergravities, as well as the quadratic constraint when the section condition is satisfied.
Journal of High Energy Physics · 31 Zitationen · DOI
We propose a non-associative phase space algebra for M-theory backgrounds with locally non-geometric fluxes based on the non-associative algebra of octonions. Our proposal is based on the observation that the non-associative algebra of the non-geometric R-flux background in string theory can be obtained by a proper contraction of the simple Malcev algebra generated by imaginary octonions. Furthermore, by studying a toy model of a four-dimensional locally non-geometric M-theory background which is dual to a twisted torus, we show that the non-geometric background is "missing" a momentum mode. The resulting seven-dimensional phase space can thus be naturally identified with the imaginary octonions. This allows us to interpret the full uncontracted algebra of imaginary octonions as the uplift of the string theory R-flux algebra to M-theory, with the contraction parameter playing the role of the string coupling constant g s .
Journal of High Energy Physics · 23 Zitationen · DOI
A bstract We study a one-parameter family of $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 2 anti-de Sitter vacua with U(1) 2 symmetry of gauged four-dimensional maximal supergravity, with dyonic gauge group [SO(6) × SO(1 , 1)] ⋉ ℝ 12 . These backgrounds are known to correspond to Type IIB S-fold solutions with internal manifold of topology S 1 × S 5 . The family of AdS 4 vacua is parametrized by a modulus χ . Although χ appears non-compact in the four-dimensional supergravity, we show that this is just an artefact of the four-dimensional description. We give the 10-dimensional geometric interpretation of the modulus and show that it actually has periodicity of $$ \frac{2\pi }{T} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mfrac> <mml:mrow> <mml:mn>2</mml:mn> <mml:mi>π</mml:mi> </mml:mrow> <mml:mi>T</mml:mi> </mml:mfrac> </mml:math> , which is the inverse radius of S 1 . We deduce this by providing the explicit D = 10 uplift of the family of vacua as well as computing the entire modulus-dependent Kaluza-Klein spectrum as a function of χ . At the special values χ = 0 and χ = $$ \frac{\pi }{T} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mfrac> <mml:mi>π</mml:mi> <mml:mi>T</mml:mi> </mml:mfrac> </mml:math> , the symmetry enhances according to U(1) 2 → U(2), giving rise however to inequivalent Kaluza-Klein spectra. At χ = $$ \frac{\pi }{T} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mfrac> <mml:mi>π</mml:mi> <mml:mi>T</mml:mi> </mml:mfrac> </mml:math> , this realizes a bosonic version of the “space invaders” scenario with additional massless vector fields arising from formerly massive fields at higher Kaluza-Klein levels.
Physics Letters B · 17 Zitationen · DOI
Maximal supergravity in four dimensions admits two inequivalent dyonic gaugings of the group SO(4)SO(2,2) T 16 . Both admit a Minkowski vacuum with residual SO(4)SO(2) 2 symmetry and identical spectrum. We explore these vacua and their deformations. Using exceptional field theory, we show that the four-dimensional theories arise as consistent truncations from IIA and IIB supergravity, respectively, around a Mink 4 S 3 H 3 geometry. The IIA/IIB truncations are efficiently related by an outer automorphism of SL( As an application, we give an explicit uplift of the moduli of the vacua into a 4-parameter family of ten-dimensional solutions.
Journal of High Energy Physics · 15 Zitationen · DOI
We use exceptional field theory to describe locally non-geometric spaces of M-theory of more than three dimensions. For these spaces, we find a new set of locally non-geometric fluxes which lie in the R-R sector in the weak-coupling limit and can typically be characterised by mixed symmetry tensors. These spaces thus provide new examples of non-geometric backgrounds which go beyond the NS-NS sector of string theory. Starting from twisted tori we construct duality chains that lead to these new non-geometric backgrounds and we show that, just as in the four-dimensional case, there are missing momenta associated to the mixed symmetry tensors.
Physical review. D/Physical review. D. · 14 Zitationen · DOI
Scalars and fermions can arise as Goldstone modes of nonlinearly realized extensions of the Poincar\'e group (with important implications for the soft limits of such theories): the Dirac-Born-Infeld scalar realizes a higher-dimensional Poincar\'e symmetry, while the Volkov-Akulov fermion corresponds to super-Poincar\'e. In this paper we classify extensions of the Poincar\'e group which give rise to a vector Goldstone mode instead. Our main result is that there are no healthy (ghost free) interacting $U(1)$ gauge theories that nonlinearly realize space-time symmetries beyond gauge transformations. This implies that the structure of e.g., Born-Infeld theory is not fixed by symmetry.
Journal of High Energy Physics · 10 Zitationen · DOI
A bstract We show how to use Exceptional Field Theory to compute the full Kaluza-Klein spectra of 10- and 11-dimensional supergravity around deformations of backgrounds of maximal gauged supergravity by scalar modes that do not form part of the consistent truncation. This includes deformations of AdS 4 × S 7 and AdS 5 × S 5 by modes that are not part of the $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 8 supermultiplet. As an application, we compute the full Kaluza-Klein spectrum of the $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 1 and $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 0 squashed S 7 . In this example, all conformal dimensions are captured by a universal formula in terms of the Casimir operators and additional quantum numbers which organise the spectrum.
Classical and Quantum Gravity · 10 Zitationen · DOI
Abstract We use exceptional field theory to systematically study all possible consistent truncations around any M -theory half-maximal vacua of the warped product form AdS 5 × M 3 × S 2 × S 1 , with M 3 a three-dimensional manifold. We show that, for any of these vacua, only truncations with at most three vector multiplets are consistent. Furthermore, the possible gaugings are restricted to be either SU(2) × U(1) or ISO(3) × U(1) where, in the first case, the U(1) factor can have different embeddings inside the global symmetry group SO(5, n ), where n ⩽ 3 equals the number of vector multiplets. This rules out the possibility of any other gauging arising as a consistent truncation around the aforementioned M -theory vacua. Our analysis shows that of the many flows from half-maximal to quarter-maximal AdS 5 vacua constructed in five-dimensional supergravity in Bobev (2018 J. High Energy Phys. 6 86), only those corresponding to an adjoint mass deformation in the dual SCFT can be uplifted to 11-dimensional supergravity. The other flows are five-dimensional artefacts without a higher-dimensional origin. Furthermore, consistent truncations with vector multiplets exist only if the vacuum satisfies certain conditions, which we derive.
Journal of High Energy Physics · 8 Zitationen · DOI
A bstract We use E 8(8) Exceptional Field Theory to construct the consistent truncation of IIB supergravity on S 3 × S 3 × S 1 to maximal 3-dimensional $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 16 gauged supergravity containing the $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = (4, 4) AdS 3 vacuum. We explain how to achieve this by adding a 7-form flux to the S 1 reduction of the dyonic E 7(7) truncation on S 3 × S 3 previously constructed in the literature. Our truncation Ansatz includes, in addition to the $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = (4, 4) vacuum, a host of moduli breaking some or all of the supersymmetries. We explicitly construct the uplift of a subset of these to construct new supersymmetric and non-supersymmetric AdS 3 vacua of IIB string theory, which include a range of perturbatively stable non-supersymmetric 10-d vacua. Moreover, we show how the supersymmetric direction of the moduli space of AdS 3 vacua of six-dimensional gauged supergravity studied in [1] is compactified upon lifting to 10 dimensions, and find evidence of T-duality playing a role in global aspects of the moduli space. Along the way, we also derive the form of 3-dimensional $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 16 gauged supergravity in terms of the embedding tensor and rule out a 10-/11-dimensional origin of some 3-dimensional gauged supergravities.
Journal of High Energy Physics · 8 Zitationen · DOI
A bstract Using exceptional generalised geometry, we classify which five-dimensional $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 2 gauged supergravities can arise as a consistent truncation of 10-/11-dimensional supergravity. Exceptional generalised geometry turns the classification into an algebraic problem of finding subgroups G S ⊂ USp(8) ⊂ E 6(6) that preserve exactly two spinors. Moreover, the intrinsic torsion of the G S structure must contain only constant singlets under G S , and these, in turn, determine the gauging of the five-dimensional theory. The resulting five-dimensional theories are strongly constrained: their scalar manifolds are necessarily symmetric spaces and only a small number of matter multiplets can be kept, which we completely enumerate. We also determine the largest reductive and compact gaugings that can arise from consistent truncations.
Physics Letters B · 8 Zitationen · DOI
In this note we revisit Hitchin's prescription [1] of the Fisher metric as a natural measure on the moduli space of instantons that encodes the space–time symmetries of a classical field theory. Motivated by the idea of the moduli space of supersymmetric instantons as an emergent space in the sense of the gauge/gravity duality, we extend the prescription to encode also global symmetries of the underlying theory. We exemplify our construction with the instanton solution of the CPN sigma model on R2.
Journal of High Energy Physics · 7 Zitationen · DOI
A bstract We show how to use Exceptional Field Theory to efficiently compute n -point couplings of all Kaluza-Klein modes for vacua that can be uplifted from maximal gauged supergravities to 10/11 dimensions via a consistent truncation. Via the AdS/CFT correspondence, these couplings encode the n -point functions of holographic conformal fields theories. Our methods show that these n -point couplings are controlled by the n -point invariant of scalar harmonics of the maximally symmetric point of the truncation, allowing us to show that infinitely-many n -point couplings vanish for any vacua of the truncation, even though they may be allowed by the remnant symmetry group of the vacua. This gives new results even for the maximally supersymmetric AdS 5 × S 5 , AdS 4 × S 7 and AdS 7 × S 4 vacua of string and M-theory, where we prove old conjectures about the vanishing of n -point extremal and near-extremal couplings. Focusing in particular on cubic couplings for vacua of 5-dimensional gauged supergravity, we derive explicit universal formulae encoding these couplings for any vacuum within a consistent truncation. We use this to compute known and new couplings involving spin-0, spin-1, spin-2 for the AdS 5 × S 5 vacuum of IIB string theory.
Journal of High Energy Physics · 3 Zitationen · DOI
A bstract We define the notion of Y-algebroids, generalising the Lie, Courant, and exceptional algebroids that have been used to capture the local symmetry structure of type II string theory and M-theory compactifications to D ≥ 5 dimensions. Instead of an invariant inner product, or its generalisation arising in exceptional algebroids, Y-algebroids are built around a specific type of tensor, denoted Y , that provides exactly the necessary properties to also describe compactifications to D = 4 dimensions. We classify “M-exact” E 7 -algebroids and show that this precisely matches the form of the generalised tangent space of E 7(7) × ℝ + -generalised geometry, with possible twists due to 1-, 4- and 7-form fluxes, corresponding physically to the derivative of the warp factor and the M-theory fluxes. We translate the notion of generalised Leibniz parallelisable spaces, relevant to consistent truncations, into this language, where they are mapped to so-called exceptional Manin pairs. We also show how to understand Poisson-Lie U-duality and exceptional complex structures using Y-algebroids.
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GRK 2575: Überdenken der Quantenfeldtheorie
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Identität, Organisation und Kontakt aus HU-FIS.
- Name
- Dr. Emanuel Malek
- Titel
- Dr.
- Fakultät
- Mathematisch-Naturwissenschaftliche Fakultät
- Institut
- Institut für Physik
- Arbeitsgruppe
- Theoretische Physik (Quantenfeldtheorie jenseits des Standardmodells und Stringtheorie)
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- +49 30 2093-66413
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- 26.4.2026, 01:08:54