Higher-derivative corrections to small black rings

DOI10.1088/1361-6382/ABFF9BzbMATH Open1482.83102arXiv2003.02269OpenAlexW3010187019MaRDI QIDQ5162825

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Publication date: 5 November 2021

Published in: (Search for Journal in Brave)

Abstract: We compute the first-order $alph{a}^{\prime }$-corrections to a general family of supersymmetric heterotic backgrounds which describes a rotating superposition of a fundamental string and a momentum wave. We focus on a particular solution within this family that gives raise, upon dimensional reduction to five dimensions, to a black ring with two charges and one dipole that has a singular horizon with vanishing area in the supergravity approximation, better known as small black ring. We show that the singularity at the horizon persists even after the first-order $alph{a}^{\prime }$-corrections have been taken into account. This implies, contrary to what has been argued in the literature, that higher-derivative corrections do not resolve the singular horizon of the 5-dimensional small black ring, at least at first-order in $alph{a}^{\prime }$.

Full work available at URL: https://arxiv.org/abs/2003.02269

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