Supersymmetry of Rotating Branes

TL;DR

This work constructs a new 1/8 supersymmetric rotating intersection of M-branes with two independent rotation parameters in D=11 supergravity. The near-horizon geometry remains adS_3×S^3×S^3×E^2, and the isometry supergroup is shown to be D(2|1,α)×D(2|1,α), with α determined by the radii ratio of the two S^3 factors. By analyzing Killing spinors and performing dimensional reductions, the authors map how supersymmetry and bosonic symmetries descend, revealing how angular momentum deforms the isometry while preserving the supersymmetry in a controlled way. The results extend understanding of spinning brane solutions, their enhanced near-horizon symmetries, and potential holographic interpretations via dualities to IIB setups and microstate counting.

Abstract

We present a new 1/8 supersymmetric intersecting M-brane solution of D=11 supergravity with two independent rotation parameters. The metric has a non-singular event horizon and the near-horizon geometry is $adS_3\times S^3\times S^3\times\bE^2$ (just as in the non-rotating case). We also present a method of determining the isometry supergroup of supergravity solutions from the Killing spinors and use it to show that for the near horizon solution it is $D(2|1,α)\times D(2|1,α)$ where $α$ is the ratio of the two 3-sphere radii. We also consider various dimensional reductions of our solution, and the corresponding effect of these reductions on the Killing spinors and the isometry supergroups.