T duality and Wald entropy formula in the Heterotic Superstring effective action at first order in $\alpha'$
Abstract
We consider the compactification on a circle of the Heterotic Superstring effective action to first order in the Regge slope parameter and re-derive the -corrected Buscher rules first found in arXiv:hep-th/9506156 , proving the T duality invariance of the dimensionally-reduced action to that order in . We use Iyer and Wald's prescription to derive an entropy formula that can be applied to black-hole solutions which can be obtained by a single non-trivial compactification on a circle and discuss its invariance under the -corrected T duality transformations. This formula has been successfully applied to -corrected 4-dimensional non-extremal Reissner-Nordstr\"om black holes in arXiv:1910.14324 and we apply it here to a heterotic version of the Strominger-Vafa 5-dimensional extremal black hole.
Keywords
Cite
@article{arxiv.2005.11272,
title = {T duality and Wald entropy formula in the Heterotic Superstring effective action at first order in $\alpha'$},
author = {Zachary Elgood and Tomas Ortin},
journal= {arXiv preprint arXiv:2005.11272},
year = {2021}
}
Comments
Misprints in intermediate equations corrected in agreement with the erratum submitted to the journal. Final results not affected