Gravity solutions for the D1-D5 system with angular momentum

TL;DR

This paper constructs a broad class of non-singular supergravity solutions representing BPS excitations with angular momentum on AdS_3 x S^3, revealing how energy gaps change with excitation energy.

Contribution

It introduces a new family of fully backreacted supergravity solutions for BPS states with angular momentum, extending the understanding of supertube geometries.

Findings

Energy gap decreases as excitation energy increases

Solutions are non-singular and account for full backreaction

View as Kaluza-Klein monopole supertubes

Abstract

We construct a large family of supergravity solutions that describe BPS excitations on AdS_3 x S^3 with angular momentum on S^3. These solutions take into account the full backreaction on the metric. We find that as we increase the energy of the excitation, the energy gap to the next non-BPS excitation decreases. These solutions can be viewed as Kaluza-Klein monopole ``supertubes'' which are completely non-singular geometries. We also make some remarks on supertubes in general.