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arXiv · 2505.20388

Time-like Entanglement Entropy: a top-down approach

Carlos Nunez·Dibakar Roychowdhury
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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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Carlos Nunez, Dibakar Roychowdhury. 2025-05-26. Time-like Entanglement Entropy: a top-down approach. https://arxiv.org/abs/2505.20388

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