Correlation functions of BCFT

Abstract

Boundary conformal field theory (BCFT) is the study of conformal field theory (CFT) on manifolds with a boundary. We can use conformal symmetry to constrain correlation functions of conformal invariant fields. We compute two-point and three-point functions of conformal invariant fields which live in semi-infinite space. For a situation with a boundary condition in surface z=z (t=0), the results agree with gravity dual results. We also explore representations of conformal group in two dimensions.

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