Spectral Flow in 3D Flat Spacetimes

Abstract

In this paper we investigate spectral flow symmetry in asymptotically flat spacetimes both from a gravity as well as a putative dual quantum field theory perspective. On the gravity side we consider models in Einstein gravity and supergravity as well as their "reloaded" versions, present suitable boundary conditions, determine the respective asymptotic symmetry algebras and the thermal entropy of cosmological solutions in each of these models. On the quantum field theory side we identify the spectral flow symmetry as automorphisms of the underlying symmetry algebra of the theory. Using spectral flow invariance we then determine the thermal entropy of these quantum field theories and find perfect agreement with the results from the gravity side. In addition we determine logarithmic corrections to the thermal entropy.

42 pages; v2: added minor clarifications, matches published version

References in corpus (23)

• The BMS/GCA correspondence
• Entropy of three-dimensional asymptotically flat cosmological solutions
• Entanglement entropy in Galilean conformal field theories and flat holography
• Topologically Massive Gravity and the AdS/CFT Correspondence
• Flat-Space Chiral Gravity
• Notes on the BMS group in three dimensions: I. Induced representations
• Logarithmic Corrections to Extremal Black Hole Entropy from Quantum Entropy Function
• Asymptotically anti-de Sitter spacetimes in topologically massive gravity
• Asymptotic symmetries and dynamics of three-dimensional flat supergravity
• One-loop partition function of three-dimensional flat gravity
• Three-dimensional supergravity reloaded
• Galilean Superconformal Symmetries
• Super-BMS${}_3$ algebras from $\mathcal{N}=2$ flat supergravities
• Tensionless Superstrings: View from the Worldsheet
• Supersymmetric Extension of GCA in 2d
• Flat space (higher spin) gravity with chemical potentials
• Matter coupling in 3D "Minimal Massive Gravity"
• Flat Space Limit of (Higher-Spin) Cardy Formula
• Asymptotically flat spacetimes with BMS${}_3$ symmetry
• Aspects of Flat/CCFT Correspondence
• Enhanced Asymptotic Symmetry Algebra of 2+1 Dimensional Flat Space
• N=4 Supersymmetric BMS3 algebras from asymptotic symmetry analysis
• Unitarity in three-dimensional flat space higher spin theories