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hep-thDec 1, 2024
authors
  • Alberto S. Cattaneo
  • Nima Moshayedi
  • Alberto Smailovic Funcasta
institutions
  • ETH Zurich
  • University of Zurich
arXiv abstractPDF
paper

3D Supergravity in the Batalin-Vilkovisky Formalism

arXiv:2412.14300 · doi:10.1007/s00023-025-01588-6

Abstract

Three-dimensional supergravity in the Batalin-Vilkovisky formalism is constructed by showing that the theory including the Rarita-Schwinger term is equivalent to an AKSZ theory.

25 pages. Added references. Improved Introduction

References in corpus (16)

  • The Geometry of the Master Equation and Topological Quantum Field Theory
  • Barbero's Hamiltonian derived from a generalized Hilbert-Palatini action
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  • Geometrodynamics vs. Connection Dynamics
  • The reduced phase space of Palatini-Cartan-Holst theory
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  • Introduction to the BV-BFV formalism
  • BV-BFV approach to General Relativity: Palatini-Cartan-Holst action
  • The Quantum Theory of Chern-Simons Supergravity
  • BV-equivalence between triadic gravity and BF theory in three dimensions
  • Fully extended BV-BFV description of General Relativity in three dimensions
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  • Gravity Coupled with Scalar, SU(n), and Spinor Fields on Manifolds with Null-Boundary
  • Chern-Simons Supergravity on Supergroup Manifolds
  • Boundary structure of gauge and matter fields coupled to gravity
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