Hyperbolic cylinders and entanglement entropy: gravitons, higher spins, \(p\)-forms

DOI10.1007/JHEP01(2021)202zbMATH Open1459.83038arXiv2005.08402OpenAlexW3127705624WikidataQ115609598 ScholiaQ115609598MaRDI QIDQ2024325

Author name not available (Why is that?)

Publication date: 3 May 2021

Published in: (Search for Journal in Brave)

Abstract: We show that the entanglement entropy of

D = 4

linearized gravitons across a sphere recently computed by Benedetti and Casini coincides with that obtained using the Kaluza-Klein tower of traceless transverse massive spin-2 fields on

S^{1} i m e s A d S_{3}

. The mass of the constant mode on

S^{1}

saturates the Brietenholer-Freedman bound in

A d S_{3}

. This condition also ensures that the entanglement entropy of higher spins determined from partition functions on the hyperbolic cylinder coincides with their recent conjecture. Starting from the action of the 2-form on

S^{1} i m e s A d S_{5}

and fixing gauge, we evaluate the entanglement entropy across a sphere as well as the dimensions of the corresponding twist operator. We demonstrate that the conformal dimensions of the corresponding twist operator agrees with that obtained using the expectation value of the stress tensor on the replica cone. For conformal

p

-forms in even dimensions it obeys the expected relations with the coefficients determining the

3

-point function of the stress tensor of these fields.

Full work available at URL: https://arxiv.org/abs/2005.08402

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