David, JR and Mukherjee, J (2021) Hyperbolic cylinders and entanglement entropy: gravitons, higher spins, p-forms. In: Journal of High Energy Physics, 2021 (1).
|
PDF
jou_hig_ene_phy_2021-01_2021.pdf - Published Version Download (691kB) | Preview |
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 S1� AdS3. The mass of the constant mode on S1 saturates the Brietenholer-Freedman bound in AdS3. 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 S1� AdS5 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. © 2021, The Author(s).
| Item Type: | Journal Article |
|---|---|
| Publication: | Journal of High Energy Physics |
| Publisher: | Springer Science and Business Media Deutschland GmbH |
| Additional Information: | The copyright for this article belongs to Springer Science and Business Media Deutschland GmbH |
| Department/Centre: | Division of Physical & Mathematical Sciences > Centre for High Energy Physics |
| Date Deposited: | 24 Aug 2021 10:58 |
| Last Modified: | 24 Aug 2021 10:58 |
| URI: | http://eprints.iisc.ac.in/id/eprint/69374 |
Actions (login required)
 |
View Item |
