1/4-BPS M-theory bubbles with SO(3) x SO(4) symmetry

TL;DR

This paper extends the classification of 1/2-BPS M-theory solutions to 1/4-BPS configurations with SO(3) x SO(4) symmetry, revealing connections to Calabi-Yau spaces and near-horizon geometries of wrapped branes.

Contribution

It introduces a new class of 1/4-BPS solutions constructed over almost Calabi-Yau spaces, generalizing previous classifications and linking to known near-horizon geometries.

Findings

Solutions constructed over a one-parameter family of 4D almost Calabi-Yau spaces.

Analytic continuations yield solutions with AdS2 x S3 or AdS3 x S2 factors.

Results relate to near-horizon geometries of M2 and M5-branes wrapped on cycles.

Abstract

In this paper we generalize the work of Lin, Lunin and Maldacena on the classification of 1/2-BPS M-theory solutions to a specific class of 1/4-BPS configurations. We are interested in the solutions of 11 dimensional supergravity with $SO(3)\times SO(4)$ symmetry, and it is shown that such solutions are constructed over a one-parameter familiy of 4 dimensional almost Calabi-Yau spaces. Through analytic continuations we can obtain M-theory solutions having $AdS_2\times S^3$ or $AdS_3\times S^2$ factors. It is shown that our result is equivalent to the $AdS$ solutions which have been recently reported as the near-horizon geometry of M2 or M5-branes wrapped on 2 or 4-cycles in Calabi-Yau threefolds. We also discuss the hierarchy of M-theory bubbles with different number of supersymmetries.