Anti--de Sitter/ boundary conformal field theory correspondence in the non-relativistic limit

TL;DR

This paper explores the non-relativistic limit of the AdS/BCFT correspondence, analyzing boundary Galilean conformal algebra and correlation functions, and introduces a holographic dual for boundary Galilean conformal field theory.

Contribution

It extends AdS/BCFT correspondence to the non-relativistic regime and proposes a holographic dual for boundary Galilean conformal field theory.

Findings

Correlation functions match non-relativistic BCFT predictions.

Boundary Galilean conformal algebra governs the non-relativistic limit.

Holographic dual for boundary Galilean conformal field theory is introduced.

Abstract

Boundary conformal field theory (BCFT) is the study of conformal field theory (CFT) in semi-infinite space-time. In non-relativistic limit ($x\rightarrow\epsilon x, t\rightarrow t, \epsilon\rightarrow 0$), boundary conformal algebra changes to boundary Galilean conformal algebra (BGCA). In this work, some aspects of AdS/BCFT in non-relatvistic limit were explored. We constrain correlation functions of Galilean conformal invariant fields with BGCA generators. For a situation with a boundary condition at surface $x=0$ ($z=\bar{z}$), our result is agree with non-relativistic limit of BCFT two-point function. We also, introduce holographic dual of boundary Galilean conformal field theory.