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

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 $Ad{S}_2\times S^3$ or $Ad{S}_3\times S^2$ 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.

22 pages, JHEP3.cls; v2. revised version. showed that our results agree with previous works hep-th/0605146 and hep-th/0612196

References in corpus (4)

• 1/2-BPS states in M theory and defects in the dual CFTs
• Anatomy of bubbling solutions
• Bubbling AdS and droplet descriptions of BPS geometries in IIB supergravity
• On the existence of supergravity duals to D1--D5 CFT states

Cited by in corpus (2)

• Radiation from the non-extremal fuzzball
• AdS spacetimes from wrapped D3-branes