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arXiv · 2410.10755

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

Leron Borsten·Dimitri Kanakaris·Hyungrok Kim
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Abstract

We show that various dynamical gauge theories in two, three and four dimensions, obtained as Manin deformations of topological Alexandrov-Kontsevich-Schwarz-Zaboronsky (AKSZ) 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 AKSZ theory.

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Leron Borsten, Dimitri Kanakaris, Hyungrok Kim. 2024-10-14. Gravity from AKSZ-Manin theories in two, three, and four dimensions. https://doi.org/10.1007/jhep06(2025)075

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