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 (27)

• Bubbling AdS space and 1/2 BPS geometries
• Non-Kaehler String Backgrounds and their Five Torsion Classes
• The Geometry of D=11 Killing Spinors
• Supersymmetric AdS_5 solutions of M-theory
• Mirror Symmetry in Generalized Calabi-Yau Compactifications
• Fivebranes from gauge theory
• On gravitational description of Wilson lines
• AdS(3) Solutions of IIB Supergravity from D3-branes
• Supersymmetric AdS_3, AdS_2 and Bubble Solutions
• 1/2-BPS states in M theory and defects in the dual CFTs
• Anatomy of bubbling solutions
• Minisuperspace Quantization of "Bubbling AdS" and Free Fermion Droplets
• AdS spacetimes from wrapped M5 branes
• Bubbling AdS and droplet descriptions of BPS geometries in IIB supergravity
• Lectures on Calabi-Yau and special Lagrangian geometry
• Comments on AdS2 solutions of D=11 Supergravity
• A description of 1/4 BPS configurations in minimal type IIB SUGRA
• 1/8 BPS States in Ads/CFT
• Extended Fermion Representation of Multi-Charge 1/2-BPS Operators in AdS/CFT -- Towards Field Theory of D-Branes --
• BPS states in type IIB SUGRA with $SO(4)\times SO(2)_{gauged} symmetry
• From Gravitons to Giants
• Supersymmetric wrapped membranes, AdS(2) spaces, and bubbling geometries
• A Monte-Carlo study of the AdS/CFT correspondence: an exploration of quantum gravity effects
• 1/2 BPS Geometries of M2 Giant Gravitons
• Dynamics of Giant-Gravitons in the LLM geometry and the Fractional Quantum Hall Effect
• On the existence of supergravity duals to D1--D5 CFT states
• On Toda Equation and Half BPS Supergravity Solution in M-Theory

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