Exact rotating membrane solutions on a G_2 manifold and their semiclassical limits

Abstract

We obtain exact rotating membrane solutions and explicit expressions for the conserved charges on a manifold with exactly known metric of G_2 holonomy in M-theory, with four dimensional N=1 field theory dual. After that, we investigate their semiclassical limits and derive different relations between the energy and the other conserved quantities, which is a step towards M-theory lift of the semiclassical string/gauge theory correspondence for N=1 field theories.

LaTeX, 31 pages, no figures; V2: references added; V3: 34 pages; explanations, comments, acknowledgments and references added; V4: final version, to appear in JHEP

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• Lax Pair for Strings in Lunin-Maldacena Background
• Dipole Deformations of N=1 SYM and Supergravity backgrounds with U(1) X U(1) global symmetry
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• Carroll membranes
• Rotating Membranes in AdS_4xM^{1,1,1}
• New G2 holonomy metrics, D6 branes with inherent U(1)xU(1) isometry and gamma-deformations
• Probing Non-Toric Geometry with Rotating Membranes
• Rotating strings and D2-branes in type IIA reduction of M-theory on G2 manifold and their semiclassical limits
• P-Branes Dynamics, AdS/CFT and Correlation Functions