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arXiv · 2005.11272

T duality and Wald entropy formula in the Heterotic Superstring effective action at first order in $α'$

Zachary Elgood·Tomas Ortin
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Abstract

We consider the compactification on a circle of the Heterotic Superstring effective action to first order in the Regge slope parameter $α'$ and re-derive the $α'$-corrected Buscher rules first found in arXiv:hep-th/9506156 , proving the T duality invariance of the dimensionally-reduced action to that order in $α'$. 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 $α'$-corrected T duality transformations. This formula has been successfully applied to $α'$-corrected 4-dimensional non-extremal Reissner-Nordström black holes in arXiv:1910.14324 and we apply it here to a heterotic version of the Strominger-Vafa 5-dimensional extremal black hole.

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Zachary Elgood, Tomas Ortin. 2021-09-07. T duality and Wald entropy formula in the Heterotic Superstring effective action at first order in $α'$. https://doi.org/10.1007/jhep10(2020)097

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