Prof. Dr. Olaf Hohm

Prof. Hohm erforscht die mathematische Struktur von Quantenfeldtheorien durch Homotopie-Algebren, insbesondere die sogenannte „Double-Copy"-Beziehung zwischen Eichtheorien und Gravitation. Seine aktuelle Arbeit (2024–2026) entwickelt algebraische Methoden, um Symmetrien und Wechselwirkungen in fundamentalen Theorien systematisch herzuleiten — etwa wie sich Yang-Mills-Theorie in Supergravitation übersetzt. Diese Techniken ermöglichen es, komplexe Feldtheorien off-shell und lokal eichinvariant zu formulieren, was bislang nur perturbativ möglich war. Die Forschung hat Relevanz für theoretische Hochenergiephysik und mathematische Grundlagen der Stringtheorie; praktische Anwendungen liegen derzeit nicht im Fokus.

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• Duality Symmetries, Higher Derivatives, and their Applications in Cosmology (Symmetries-Cosmology)

  Quelle ↗

  Förderer: Horizon 2020: ERC Consolidator Grant Zeitraum: 09/2018 - 08/2023 Projektleitung: Prof. Dr. Olaf Hohm

• GRK 2575/1: Überdenken der Quantenfeldtheorie

  Quelle ↗

  Förderer: DFG Graduiertenkolleg Zeitraum: 04/2020 - 09/2024 Projektleitung: Prof. Dr. Jan Plefka

• GRK 2575/2: Überdenken der Quantenfeldtheorie

  Quelle ↗

  Förderer: DFG Graduiertenkolleg Zeitraum: 10/2024 - 03/2029 Projektleitung: Prof. Dr. Jan Plefka

• Massive Gravity in Three Dimensions

  2009

  Physical Review Letters · DOI

  A particular higher-derivative extension of the Einstein-Hilbert action in three spacetime dimensions is shown to be equivalent at the linearized level to the (unitary) Pauli-Fierz action for a massive spin-2 field. A more general model, which also includes "topologically-massive" gravity as a special case, propagates the two spin-2 helicity states with different masses. We discuss the extension to massive N-extended supergravity, and we present a "cosmological" extension that admits an anti-de Sitter vacuum.

• Generalized metric formulation of double field theory

  2010

  Journal of High Energy Physics · DOI

• More on massive 3D gravity

  2009

  Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D, Particles, fields, gravitation, and cosmology · DOI

  We explore the space of static solutions of the recently discovered three-dimensional ``new massive gravity'' (NMG), allowing for either sign of the Einstein-Hilbert term and a cosmological term parametrized by a dimensionless constant $\ensuremath{\lambda}$. For $\ensuremath{\lambda}=\ensuremath{-}1$ we find black hole solutions asymptotic (but not isometric) to the unique (anti) de Sitter [(A)dS] vacuum, including extremal black holes that interpolate between this vacuum and $(\mathrm{A}){\mathrm{dS}}_{2}\ifmmode\times\else\texttimes\fi{}{S}^{1}$. We also investigate unitarity of linearized NMG in (A)dS vacua. We find unitary theories for some dS vacua, but (bulk) unitarity in AdS implies negative central charge of the dual conformal field theories (CFT), except for $\ensuremath{\lambda}=3$ where the central charge vanishes and the bulk gravitons are replaced by ``massive photons.'' A similar phenomenon is found in the massless limit of NMG, for which the linearized equations become equivalent to Maxwell's equations.