Holographic Entanglement Entropy in flat limit of the Generalized Minimal Massive Gravity model

Abstract

Previously we have studied the Generalized Minimal Massive Gravity (GMMG) in asymptotically $Ad{S}_3$ background, and have shown that the theory is free of negative-energy bulk modes. Also we have shown GMMG avoids the aforementioned bulk-boundary unitarity clash. Here instead of $Ad{S}_3$ space we consider asymptotically flat space, and study this model in the flat limit. The dual field theory of GMMG in the flat limit is a $BM{S}_3$ invariant field theory, dubbed (BMSFT) and we have BMS algebra asymptotically instead of Virasoro algebra. In fact here we present an evidence for this claim. Entanglement entropy of GMMG is calculated in the background in the flat null infinity. Our evidence for mentioned claim is the result for entanglement entropy in filed theory side and in the bulk (in the gravity side). At first using Cardy formula and Rindler transformation, we calculate entanglement entropy of BMSFT in three different cases. Zero temperature on the plane and on the cylinder, and non-zero temperature case. Then we obtain the entanglement entropy in the bulk. Our results in gravity side are exactly in agreement with field theory calculations.

arXiv comment17 pages, reference and paragraphs added

References in corpus (32)

• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• Holographic Derivation of Entanglement Entropy from AdS/CFT
• The World as a Hologram
• Entanglement Entropy and Quantum Field Theory
• Entanglement in quantum critical phenomena
• Geometric and Renormalized Entropy in Conformal Field Theory
• Towards a derivation of holographic entanglement entropy
• Massive Gravity in Three Dimensions
• Aspects of the BMS/CFT correspondence
• Symmetries of asymptotically flat 4 dimensional spacetimes at null infinity revisited
• Energy in Generic Higher Curvature Gravity Theories
• BMS charge algebra
• Universal Spectrum of 2d Conformal Field Theory in the Large c Limit
• Classical central extension for asymptotic symmetries at null infinity in three spacetime dimensions
• Gravitational Energy in Quadratic Curvature Gravities
• A New Cosmological Scenario in String Theory
• A holographic reduction of Minkowski space-time
• Entropy of three-dimensional asymptotically flat cosmological solutions
• GCA in 2d
• Time-dependent Orbifolds and String Cosmology
• Three-dimensional Bondi-Metzner-Sachs invariant two-dimensional field theories as the flat limit of Liouville theory
• Holography with Gravitational Chern-Simons Term
• Entanglement Entropy in Flat Holography
• BTZ Black Hole with Chern-Simons and Higher Derivative Terms
• Exploring the holographic principle in asymptotically flat spacetimes via the BMS group
• Comments on holographic current algebras and asymptotically flat four dimensional spacetimes at null infinity
• BTZ Black Hole with Gravitational Chern-Simons: Thermodynamics and Statistical Entropy
• Holography in asymptotically flat space-times and the BMS group
• On the Generalized Minimal Massive Gravity
• Black hole conserved charges in Generalized Minimal Massive Gravity
• Enhanced asymptotic $BM{S}_3$ algebra of the flat spacetime solutions of generalized minimal massive gravity

Cited by in corpus (1)

• Holographic Entanglement negativity in flat space generalized minimal massive gravity