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

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

2012-02-21

arxiv.org/abs/1202.4917v2

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

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.

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