Gravitational Wilson lines in AdS 3

Abstract

The construction of gravitational Wilson lines in the Chern-Simons formulation of AdS3 gravity in terms of composite operators in the dual boundary conformal field theory is reviewed. New evidence is presented that the Wilson line, dimensionally regularized and suitably renormalized, behaves as a bi-local operator of two conformal primaries whose dimension is predicted by SL(2,R) current algebra.

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