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

TL;DR

This paper explores the holographic duality between asymptotically flat spacetimes and ultra-relativistic conformal field theories, deriving the conformal anomaly and a monotonic C-function using flat-space holography.

Contribution

It introduces the conformal anomaly and a C-function for ultra-relativistic CFTs via flat-space holography, advancing understanding of flat-space holographic dualities.

Findings

Derived the conformal anomaly for ultra-relativistic CFTs.

Established a monotonic C-function decreasing from UV to IR.

Applied null energy condition in the bulk to support results.

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.