The world-sheet corrections to dyons in the Heterotic theory

TL;DR

This paper computes linear alpha-prime corrections to the entropy of BPS dyons in heterotic string theory, showing that gravitational Chern-Simons corrections can be effectively captured by the Gauss-Bonnet term in supergravity.

Contribution

It demonstrates that all linear alpha-prime corrections to dyon entropy, including gravitational Chern-Simons effects, can be reproduced by the Gauss-Bonnet term in the supergravity approximation.

Findings

Linear alpha-prime corrections to dyon entropy are computed.

Gravitational Chern-Simons corrections are effectively included via Gauss-Bonnet term.

Results confirm the consistency of supergravity with string corrections.

Abstract

All the linear alpha-prime corrections, however excluding the gravitational Chern-Simons correction, are studied in the toroidally compactified critical Heterotic string theory. These corrections are computed to the entropy for a BPS static spherical four dimensional dyonic black hole which represents a wrapped fundamental string carrying arbitrary winding and momentum charges along one cycle in the presence of KK-monopole and H-monopole charges associated to another cycle. It is verified that after the inclusion of the gravitational Chern-Simons corrections [hep-th/0608182], all the linear alpha-prime corrections to the entropy for the supersymmetric dyon can be reproduced by the inclusion of only the Gauss-Bonnet Lagrangian to the supergravity approximation of the induced Lagrangian.