Left-Right Entanglement Entropy, D-Branes, and Level-rank duality

Abstract

We consider the left-right entanglement (LREE) entropy in 1+1 dimensions for WZW models on a circle, and for WZW models on untwisted and twisted D-branes. The consequences of level-rank duality for these applications is presented which provides a map of LREE from large to small central charge.

arXiv commentv2: Minor correction. arXiv admin note: substantial text overlap with arXiv:hep-th/0601175

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• Rényi Entropy for the $\sun1$ WZW model on the torus
• On the topological and crosscap entropies in non-oriented RCFTs
• Left-Right Entanglement Entropy of Dp-branes
• Topological Rényi and Entanglement Entropy for a 2d q-deformed $U(N)$ Yang-Mills theory and its Chern-Simons dual
• Monstrous entanglement