Gravitational Wilson lines in AdS${}_3$

Abstract

The construction of gravitational Wilson lines in the Chern-Simons formulation of $Ad{S}_3$ 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.

arXiv comment22 pages

References in corpus (6)

• Wilson Lines and Entanglement Entropy in Higher Spin Gravity
• Thermodynamics of Higher Spin Black Holes in AdS${}_3$
• Conformal blocks from Wilson lines with loop corrections
• Correlators in higher spin AdS_3 holography from Wilson lines with loop corrections
• Renormalization of gravitational Wilson lines
• Anomalous dimensions from quantum Wilson lines

Cited by in corpus (1)

• Differential Cohomotopy implies intersecting brane observables via configuration spaces and chord diagrams