Equivalent Dual Theories for 3D N=2 Supergravity

Abstract

N=2 three dimensional Supergravity with internal $R-$symmetry generators can be understood as a two dimensional chiral Wess-Zumino-Witten model. In this paper, we present the reduced phase space description of the theory, which turns out to be flat limit of a generalised Liouville theory, up to zero modes. The reduced phase space description can also be explained as a gauged chiral Wess-Zumino-Witten model. We show that both these descriptions possess identical gauge and global (quantum N=2 superBMS${}_3$) symmetries.

arXiv comment20+2 pages. arXiv admin note: text overlap with arXiv:1905.10239

References in corpus (21)

• The asymptotic dynamics of three-dimensional Einstein gravity with a negative cosmological constant
• Asymptotic Dynamics and Asymptotic Symmetries of Three-Dimensional Extended AdS Supergravity
• Three-dimensional Bondi-Metzner-Sachs invariant two-dimensional field theories as the flat limit of Liouville theory
• Higher spin theory in 3-dimensional flat space
• Asymptotically flat spacetimes in three-dimensional higher spin gravity
• New supergravities with central charges and Killing spinors in 2+1 dimensions
• Asymptotic symmetries and dynamics of three-dimensional flat supergravity
• Strings on Curved Spacetimes: Black Holes, Torsion, and Duality
• Dual dynamics of three dimensional asymptotically flat Einstein gravity at null infinity
• Super-BMS${}_3$ algebras from $\mathcal{N}=2$ flat supergravities
• Asymptotic structure of $\mathcal{N}=2$ supergravity in 3D: extended super-BMS${}_3$ and nonlinear energy bounds
• N=4 Supersymmetric BMS3 algebras from asymptotic symmetry analysis
• Spectral Flow in 3D Flat Spacetimes
• Free-field realisations of the BMS${}_3$ algebra and its extensions
• Boundary dynamics of asymptotically flat 3D gravity coupled to higher spin fields
• Maximally $\mathcal{N}$-extended super-BMS${}_3$ algebras and Generalized 3D Gravity Solutions
• Global Aspects of the WZNW Reduction to Toda Theories
• New boundary conditions for (extended) ${\mathrm{AdS}}_3$ supergravity
• Chiral Quantization of the WZW $SU(n)$ Model
• Extended Supersymmetric BMS${}_3$ algebras and Their Free Field Realisations
• Path Integral Formulation of the Conformal Wess-Zumino-Witten to Liouville Reduction

Cited by in corpus (5)

• Geometric actions and flat space holography
• Celestial Holography: Lectures on Asymptotic Symmetries
• Supersymmetrization of deformed BMS algebras
• Asymptotic Symmetry of Four Dimensional Einstein-Yang-Mills and Einstein-Maxwell Theory
• Dual Theory for maximally $\mathcal{N}$ extended flat Supergravity