Higher-derivative corrections to small black rings

Abstract

We compute the first-order ${\alpha }^{\prime }$-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 ${\alpha }^{\prime }$-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 ${\alpha }^{\prime }$.

arXiv comment25 pages, 1 figure; v2: supplemental material and further discussions have been included. It matches the published version

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Cited by in corpus (1)

• Non-supersymmetric black holes with ${\alpha }^{\prime }$ corrections