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Time-like Entanglement Entropy: a top-down approach

2025/05/26 by Carlos Núñez, Nunez, Carlos, Dibakar Roychowdhury +1 · 3 citations
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Quantum many-body systems

paper · pdf · doi:10.48550/arxiv.2505.20388

Abstract

We investigate the concept of time-like entanglement entropy (tEE) within the framework of holography. We introduce a robust top-down prescription for computing tEE in higher-dimensional QFTs, both conformal and confining, eliminating the ambiguities typically associated with analytic continuation from Euclidean to Lorentzian signatures. We present accurate analytic approximations for tEE and time-like separations in slab geometries. We establish a clear stability criterion for bulk embeddings and demonstrate that tEE serves as a powerful tool for computing CFT central charges, extending and strengthening previous results. Finally, we apply our framework to holographic confining backgrounds, revealing distinctive behaviours like phase transitions.

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