Three-dimensional teleparallel Chern-Simons supergravity theory
arXiv:2103.06717 · doi:10.1140/epjc/s10052-021-09554-2
Abstract
In this work we present a gauge-invariant three-dimensional teleparallel supergravity theory using the Chern-Simons formalism. The present construction is based on a supersymmetric extension of a particular deformation of the Poincaré algebra. At the bosonic level the theory describes a non-Riemannian geometry with a non-vanishing torsion. In presence of supersymmetry, the teleparallel supergravity theory is characterized by a non-vanishing super-torsion in which the cosmological constant can be seen as a source for the torsion. We show that the teleparallel supergravity theory presented here reproduces the Poincaré supergravity in the vanishing cosmological limit. The extension of our results to supersymmetries is also explored.
arXiv comment16 pages
References in corpus (41)
- The Large N Limit of Superconformal Field Theories and Supergravity
- Gravitational Lorentz Force and the Description of the Gravitational Interaction
- Massive 3D Supergravity
- New supergravities with central charges and Killing spinors in 2+1 dimensions
- Higher dimensional Chern-Simons supergravity
- Three-Dimensional Extended Bargmann Supergravity
- Higher Dimensional Gravity, Propagating Torsion and AdS Gauge Invariance
- Newton-Cartan Supergravity
- Exact vacuum solution of a (1+2)-dimensional Poincare gauge theory: BTZ solution with torsion
- Topological gravity and transgression holography
- 2 + 1 dimensional gravity from Maxwell and semi-simple extension of the Poincare gauge symmetric models
- Three-dimensional supergravity reloaded
- Even-dimensional General Relativity from Born-Infeld gravity
- Chern-Simons and Born-Infeld gravity theories and Maxwell algebras type
- Chern-Simons formulation of three-dimensional gravity with torsion and nonmetricity
- Non-Relativistic Maxwell Chern-Simons Gravity
- 3D gravity with torsion as a Chern-Simons gauge theory
- Asymptotic symmetries of three-dimensional Chern-Simons gravity for the Maxwell algebra
- Black hole entropy in 3D gravity with torsion
- Generalized Chern-Simons higher-spin gravity theories in three dimensions
- Three-Dimensional Extended Newtonian (Super)Gravity
- Extended Bargmann supergravity from a Lie algebra expansion
- Asymptotic symmetries in 3d gravity with torsion
- Black hole entropy from the boundary conformal structure in 3D gravity with torsion
- Three-dimensional Maxwellian extended Bargmann supergravity
- Spontaneously Broken 3d Hietarinta/Maxwell Chern-Simons Theory and Minimal Massive Gravity
- Most general theory of 3d gravity: Covariant phase space, dual diffeomorphisms, and more
- Holography in 3D AdS gravity with torsion
- On Rigidity of 3d Asymptotic Symmetry Algebras
- Three-Dimensional Extended Lifshitz, Schrödinger and Newton-Hooke Supergravity
- Non-relativistic three-dimensional supergravity theories and semigroup expansion method
- Three-dimensional non-relativistic extended supergravity with cosmological constant
- Asymptotic dynamics in 3D gravity with torsion
- Generalized Maxwellian exotic Bargmann gravity theory in three spacetime dimensions
- Three-dimensional Poincaré supergravity and -extended supersymmetric BMS algebra
- Three-dimensional Maxwellian Extended Newtonian gravity and flat limit
- Asymptotic Symmetries of Maxwell Chern-Simons Gravity with Torsion
- Covariant description of the black hole entropy in 3D gravity
- Chern-Simons--Antoniadis-Savvidy forms and standard supergravity
- Canonical Formulation of Gravitational Teleparallelism in 2+1 Dimensions in Schwinger's Time Gauge
- Supersymmetric 3D gravity with torsion: asymptotic symmetries