4.5 Article

O(n, n) invariance and Wald entropy formula in the Heterotic Superstring effective action at first order in α′

Journal

JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 1, Pages -

Publisher

SPRINGER
DOI: 10.1007/JHEP01(2021)187

Keywords

Black Holes in String Theory; String Duality

Funding

  1. MCIU, AEI, FEDER (UE) grant [PGC2018-095205-B-I00]
  2. Spanish Research Agency (Agencia Estatal de Investigacion) through the grant IFT Centro de Excelencia Severo Ochoa [SEV-2016-0597]

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In this study, the toroidal compactification of the Bergshoeff-de Roo version of the Heterotic Superstring effective action to first order in alpha ' was performed. The dimensionally-reduced action was then utilized to derive a manifestly-O(n, n)-invariant Wald entropy formula, which was applied to calculate the entropy of alpha ' -corrected, 4-dimensional, 4-charge, static, extremal, supersymmetric black holes.
We perform the toroidal compactification of the full Bergshoeff-de Roo version of the Heterotic Superstring effective action to first order in alpha '. The dimensionally-reduced action is given in a manifestly-O(n, n)-invariant form which we use to derive a manifestly-O(n, n)-invariant Wald entropy formula which we then use to compute the entropy of alpha ' -corrected, 4-dimensional, 4-charge, static, extremal, supersymmetric black holes.

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