Higher-genus corrections to black-string solution

TL;DR

This paper computes one-loop string corrections to black-string solutions derived from a specific WZW model, analyzing how these quantum effects modify the classical backgrounds and affect the ADM mass.

Contribution

It introduces a method to calculate one-string-loop corrections to black-string backgrounds from gauged WZW models using beta-function equations.

Findings

Loop-corrected backgrounds are obtained from string-loop-corrected effective action.

The ADM mass of the black string is calculated with quantum corrections.

Results provide insights into quantum effects on black-string geometries.

Abstract

One-string-loop (torus topology) corrections to black-string backgrounds corresponding to gauged ${SL(2,R)\times R}/R$ WZW model are calculated using $\beta$-function equations derived from string-loop-corrected effective action. Loop-corrected backgrounds are used to calculate ADM mass of the black string.