Publication: Quantum corrections to minimal surfaces with mixed three-form flux
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2020-01-27
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American Physical Society
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Abstract
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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© 2020 American Physical Society.
The work of R. H. and R. R. is supported by Grant No. PGC2018-095382-B-I00 and by Banco Santander Central Hispano-Universidad Complutense de Madrid through Grant No. GR3/14-A 910770. The work of J. M. N. is supported by the Engineering and Physical Sciences Research Council Grant No. EP/S020888/1 Solving Spins and Strings.