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2–6 Sept 2024
University of Southampton
Europe/London timezone

Rényi entropies in the n0 limit, entanglement temperatures and holography

6 Sept 2024, 16:30
30m
B46/LTA (University of Southampton)

B46/LTA

University of Southampton

Plenary talk Plenary session

Speaker

Cesar Agon

Description

In this talk, I will introduce the notion of entanglement temperatures in QFT, a generalization of the Unruh temperatures valid for states reduced onto arbitrary spatial regions. The entanglement temperatures encode the high energy behavior of the state around a point and are determined by the solutions of an Eikonal problem in Euclidean space. I will show that for theories with a UV fixed point, the entanglement temperatures determine the state with a large modular temperature. In particular, I will derive a formula that connects the Rényi entropy in the small Rényi parameter limit and the entanglement temperatures.

In two dimensions, the entanglement temperatures are universal, and so are the associated states. I will show that this fact in conjunction with holography leads to a simple description of the holographic Renyi entropies in the small Rényi parameter. I will comment on the generalization to arbitrary dimension, as well as, open questions and future directions.

Link to publication (if applicable)

https://journals.aps.org/prd/abstract/10.1103/PhysRevD.108.105009

Author

Cesar Agon

Co-authors

Mr Horacio Casini (Instituto Balseiro, Centro Atomico Bariloche) Mr Pedro Martinez (Instituto Balseiro, Centro Atomico Bariloche)

Presentation materials