Gravitational Wilson lines in AdS_{\bf 3}

2019/12/05 by D'Hoker, Eric, Kraus, Per
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.1912.02750

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.

Related

• Wilson networks in AdS and global conformal blocks
• Anomalous dimensions from quantum Wilson lines
• Chern-Simons interactions in AdS₃ and the current conformal block
• Mixed boundary conditions in AdS₂/CFT₁ from the coupling with a Kalb-Ramond field
• Holographic reconstruction for AdS Wilson line networks and scalar Witten diagrams