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

Abstract

Boundary conformal field theory (BCFT) is the study of conformal field theory (CFT) in semi-infinite space-time. In non-relativistic limit ($x\to \epsilon x,t\to t,\epsilon \to 0$), 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.

13 pages, no figure, three point functions added, typos corrected, main results and conclusion unchanged

References in corpus (10)

• Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
• Gravity duals for non-relativistic CFTs
• Holographic Dual of BCFT
• Galilean Conformal Algebras and AdS/CFT
• On the spectrum of nonrelativistic AdS/CFT
• On AdS/CFT of Galilean Conformal Field Theories
• Hidden Conformal Symmetry of Extremal Kerr-Bolt Spacetimes
• Metrics with Galilean Conformal Isometry
• Correlation functions of BCFT
• Correlation functions for Galilean conformal invariant field theory

Cited by in corpus (3)

• Central Charges for BCFTs and Holography
• Dynamical symmetries and causality in non-equilibrium phase transitions
• Causality from dynamical symmetry: an example from local scale-invariance