%0 Journal Article
%A Hernández Redondo, Rafael
%A Miguel Nieto, Juan
%A Ruiz Gil, Roberto
%T Quantum corrections to minimal surfaces with mixed three-form flux
%D 2020
%@ 2470-0045
%U https://hdl.handle.net/20.500.14352/6078
%X 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.
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