Gravity from AKSZ-Manin theories in two, three, and four dimensions

We show that various dynamical gauge theories in two, three and four dimensions, which are obtained as Manin deformations of topological Alexandrov-Kontsevich-Schwarz-Zaboronsky theories, are equivalent to gravitational theories. Since gravity is topological in two and three dimension, this equivale...

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Bibliographic Details
Main Authors Borsten, Leron, Kanakaris, Dimitri, Kim, Hyungrok
Format Journal Article
LanguageEnglish
Published 14.10.2024
Subjects
Physics - General Relativity and Quantum Cosmology
Physics - High Energy Physics - Theory
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Summary:We show that various dynamical gauge theories in two, three and four dimensions, which are obtained as Manin deformations of topological Alexandrov-Kontsevich-Schwarz-Zaboronsky theories, are equivalent to gravitational theories. Since gravity is topological in two and three dimension, this equivalence requires a diffeomorphism breaking background source term. In four dimensions, however, the MacDowell-Mansouri formulation of Einstein gravity with a cosmological constant is obtained identically via the Manin deformation of a particular Alexandrov-Kontsevich-Schwarz-Zaboronsky theory.
DOI:10.48550/arxiv.2410.10755