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Quantum corrections to minimal surfaces with mixed three-form flux

Hernández, Rafael ; Nieto, Juan Miguel ; Ruiz, Roberto

Physical review. D, 2020-01, Vol.101 (2), p.1, Article 026019 [Periódico revisado por pares]

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Título:
Quantum corrections to minimal surfaces with mixed three-form flux
Autor: Hernández, Rafael ; Nieto, Juan Miguel ; Ruiz, Roberto
Assuntos: Computation ; Determinants ; Flux ; Minimal surfaces ; Partitions (mathematics) ; Regularization
É parte de: Physical review. D, 2020-01, Vol.101 (2), p.1, Article 026019
Descrição: 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.
Editor: College Park: American Physical Society
Idioma: Inglês

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