On quantum corrections to BPS Wilson loops in superstring theory on $\mathbf{AdS_3\times S^3 \times T^4}$ with mixed flux

TL;DR

This paper recalculates one-loop string partition functions in AdS3×S3×T4 with mixed fluxes, revealing that the flux parameter affects the partition function solely through a tension rescaling, correcting previous literature.

Contribution

It provides a corrected calculation showing the dependence of one-loop partition functions on flux parameter q via tension rescaling, refining earlier results.

Findings

Partition function depends on q only through tension rescaling

Corrects earlier literature results

Clarifies flux dependence in string partition functions

Abstract

We revisit the calculation of one-loop corrections to the partition functions of a string ending on a circular or straight line in type IIB string theory on $AdS_3\times S^3 \times T^4$ supported by a mixture of 3-form fluxes depending on a parameter $q$ (with $q=0$ being R-R and $q=1$ pure NS-NS cases). Correcting earlier results in the literature, we find that the partition function depends on $q$ only through rescaled tension $T= T_0/(1-q^2)$.