Aspects of Ultra-Relativistic Field Theories via Flat-space Holography

Abstract

Recently it was proposed that asymptotically flat spacetimes have a holographic dual which is an ultra-relativistic conformal field theory. In this paper, we obtain the conformal anomaly for such a theory via the flat-space holography technique. Furthermore, using flat-space holography we obtain a C-function for this theory which is monotonically decreasing from the UV to the IR by employing the null energy condition in the bulk.

14 pages, No figure V2:Major revision V3: Substantial revision and shortened version

References in corpus (6)

• Holographic c-theorems in arbitrary dimensions
• The BMS/GCA correspondence
• Stress tensor correlators in three-dimensional gravity
• Gravitational anomalies, entanglement entropy, and flat-space holography
• Scale-invariant breaking of conformal symmetry
• Scale vs Conformal invariance from Entanglement Entropy

Cited by in corpus (9)

• Flat holography and Carrollian fluids
• Entanglement Entropy in Flat Holography
• Two-dimensional fluids and their holographic duals
• Gauges in Three-Dimensional Gravity and Holographic Fluids
• Generalizing the ${\mathfrak{bms}}_3$ and 2D-conformal algebras by expanding the Virasoro algebra
• Modular Hamiltonians in flat holography and (W)AdS/WCFT
• First Law of Entanglement Entropy in Flat-Space Holography
• Remarks on BMS${}_3$ invariant field theories: correlation functions and nonunitary CFTs
• Relativistic Fluids, Hydrodynamic Frames and their Galilean versus Carrollian Avatars