2026-06-28T04:47:48Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/60782023-08-26T19:31:22Zcom_20.500.14352_14col_20.500.14352_15

Quantum corrections to minimal surfaces with mixed three-form flux Hernández Redondo, Rafael Miguel Nieto, Juan Ruiz Gil, Roberto 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 AdS(3) x S-3 x T-4. 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. 2023-06-16T15:16:10Z 2023-06-16T15:16:10Z 2023-06-16T15:16:10Z 2020-01-27 journal article https://hdl.handle.net/20.500.14352/6078 2470-0045 10.1103/PhysRevD.101.026019 eng PGC2018-095382-B-I00 GR3/14-A 910770 EP/S020888/1 https://creativecommons.org/licenses/by/3.0/es/ open access Atribución 3.0 España American Physical Society