Entanglement between Two Interacting CFTs and Generalized Holographic Entanglement Entropy

Abstract

In this paper we discuss behaviors of entanglement entropy between two interacting CFTs and its holographic interpretation using the AdS/CFT correspondence. We explicitly perform analytical calculations of entanglement entropy between two free scalar field theories which are interacting with each other in both static and time-dependent ways. We also conjecture a holographic calculation of entanglement entropy between two interacting $\mathcal{N}=4$ super Yang-Mills theories by introducing a minimal surface in the S${}^5$ direction, instead of the AdS${}_5$ direction. This offers a possible generalization of holographic entanglement entropy.

37 pages, 7 figures, v2: typos corrected, references added, v3: a ref. + a clarification note about minimal surfaces added

References in corpus (12)

• Towards a derivation of holographic entanglement entropy
• Holographic c-theorems in arbitrary dimensions
• Entanglement entropy of fermions in any dimension and the Widom conjecture
• Seeing a c-theorem with holography
• Entanglement and correlation functions following a local quench: a conformal field theory approach
• Entanglement entropy, conformal invariance and extrinsic geometry
• A holographic proof of the strong subadditivity of entanglement entropy
• Quantum Dimension as Entanglement Entropy in 2D CFTs
• The CFT/AdS correspondence, massive gravitons and a connectivity index conjecture
• Product CFTs, gravitational cloning, massive gravitons and the space of gravitational duals
• Interacting String Multi-verses and Holographic Instabilities of Massive Gravity
• On the Architecture of Spacetime Geometry

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• Holographic entanglement entropy and the internal space
• Holographic entanglement entropy in the nonconformal medium
• On holographic entanglement entropy of non-local field theories
• Large-N transitions of the connectivity index
• Entanglement Entropy and Decoupling in the Universe
• Field Space Entanglement Entropy, Zero Modes and Lifshitz Models
• Holographic Cosmology and Phase Transitions of SYM theory
• Entanglement and mixed states of Young tableau states in gauge/gravity correspondence