OPE of the stress tensors and surface operators
arXiv:1502.02487
Abstract
We demonstrate that the divergent terms in the OPE of a stress tensor and a surface operator of general shape cannot be constructed only from local geometric data depending only on the shape of the surface. We verify this holographically at d=3 for Wilson line operators or equivalently the twist operator corresponding to computing the entanglement entropy using the Ryu-Takayanagi formula. We discuss possible implications of this result.
arXiv comment20 pages, no figure
References in corpus (12)
- Holographic Derivation of Entanglement Entropy from AdS/CFT
- Generalized Global Symmetries
- The Operator Product Expansion for Wilson Loops and Surfaces in the Large N Limit
- Wilson-'t Hooft operators in four-dimensional gauge theories and S-duality
- Entanglement entropy, conformal invariance and extrinsic geometry
- Entanglement Entropy, Trace Anomalies and Holography
- Entanglement entropy across a deformed sphere
- Some results on the shape dependence of entanglement and Rényi entropies
- S-duality, 't Hooft operators and the operator product expansion
- Entanglement Entropy Flow and the Ward Identity
- Wess-Zumino Consistency Condition for Entanglement Entropy
- OPE between the energy-momentum tensor and the Wilson loop in N=4 Super-Yang-Mills theory