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Conferenza | 16 luglio 2024

Entanglement spectra from holography

Brescia

Interviene
Stefano BAIGUERA
Ben Gurion University of Negev

Introduce
Roberto AUZZI
Università Cattolica del Sacro Cuore

Abstract
We investigate the degeneracy in the distribution of the entanglement spectrum for holographic conformal field theories in general dimensions.
The input is given by the Renyi entropies for a spherical (or planar) entangling surface.
We show that the energy and entropy of the system satisfy a universal generalization of the Cardy formula valid in generic dimensions.
We then move to the case when a global charge is present in the system, focusing on the supersymmetric case obtained via a fine-tuning of the charge.
In such case, we derive another universal formula.
Finally, we show that small shape deformations of the entangling surface do not spoil the previous results.

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