RT Journal Article
T1 Quantum corrections to minimal surfaces with mixed three-form flux
A1 Hernández Redondo, Rafael
A1 Miguel Nieto, Juan
A1 Ruiz Gil, Roberto
AB 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.
PB American Physical Society
SN 2470-0045
YR 2020
FD 2020-01-27
LK https://hdl.handle.net/20.500.14352/6078
UL https://hdl.handle.net/20.500.14352/6078
LA eng
NO © 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.
NO Ministerio de Ciencia e Innovación (MICINN)
NO Universidad Complutense de Madrid/Banco Santander Central Hispano
NO Engineering and Physical Sciences Research Council (EPSRC)
DS Docta Complutense
RD 10 abr 2025