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Quantum corrections to minimal surfaces with mixed three-form flux

Hernandez, Rafael, Nieto Garcia, Juan and Ruiz, Roberto (2020) Quantum corrections to minimal surfaces with mixed three-form flux Physical Review D.

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We obtain the ratio of semiclassical partition functions for the extension under mixed flux of the minimal surfaces subtending a circumference and a line in Euclidean AdS3 × S3 × T4.We reduce the problem to the computation of a set of functional determinants. If the Ramond-Ramond flux does not vanish, we find that the contribution of the B-field is comprised in the conformal anomaly. In this case, we successively apply the Gel’fand-Yaglom method and the Abel-Plana formula to the flat-measure determinants. To cancel the resultant infrared divergences, we shift the regularization of the sum over half-integers depending on whether it corresponds to massive or massless fermionic modes.We show that the result is compatible with the zeta-function regularization approach. In the limit of pure Neveu-Schwarz-Neveu-Schwarz flux we argue that the computation trivializes. We extend the reasoning to other surfaces with the same behavior in this regime.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
Hernandez, Rafael
Nieto Garcia,
Ruiz, Roberto
Date : 27 January 2020
DOI : 10.1103/PhysRevD.101.026019
OA Location :
Copyright Disclaimer : Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.
Depositing User : James Marshall
Date Deposited : 21 Feb 2020 10:44
Last Modified : 21 Feb 2020 10:44

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