Black lenses in string theory

TL;DR

This paper introduces a new supersymmetric black hole solution with lens space topology in five-dimensional supergravity, connecting it to known solutions like black rings and analyzing its geometric and physical properties.

Contribution

It presents a novel supersymmetric black hole solution with lens space topology, extending the landscape of known solutions in five-dimensional supergravity and their string theory uplifts.

Findings

New supersymmetric black hole solution with lens space topology.

Decoupling limit relates to black ring via spectral flow.

Solution uplifts to D1-D5-P black brane in Type IIB supergravity.

Abstract

We present a new supersymmetric, asymptotically flat, black hole solution to five-dimensional U(1)^3-supergravity which is regular on and outside an event horizon of lens space topology L(2,1). The solution has seven independent parameters and uplifts to a family of 1/8-supersymmetric D1-D5-P black brane solutions to Type IIB supergravity. The decoupling limit is asymptotically AdS(3) x S^3 x T^4, with a near-horizon geometry that is a twisted product of the near-horizon geometry of the extremal BTZ black hole and L(2,1) x T^4, although it is not (locally) a product space in the bulk. We show that the decoupling limit of a special case of the black lens is related to that of a black ring by spectral flow, thereby supplying an account of its entropy. Analogous solutions of U(1)^N-supergravity are also presented.