General Lin-Maldacena solutions and PWMM Instantons from supergravity

Abstract

We use the Lin-Maldacena prescription to demonstrate how to find the supergravity solutions dual to arbitrary vacua of the plane wave matrix model and maximally supersymmetric Yang-Mills theory on RxS^2, by solving the auxiliary electrostatics problem. We then apply the technique to study instantons at strong coupling in the matrix model.

15 pages, 4 figures. Minor correction

References in corpus (13)

• Gauge Theory Correlators from Non-Critical String Theory
• Large N Field Theories, String Theory and Gravity
• Strings in flat space and pp waves from $\mathcal{N}=4$ Super Yang Mills
• Bubbling AdS space and 1/2 BPS geometries
• Fivebranes from gauge theory
• Transverse Fivebranes in Matrix Theory
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• N=4 SYM on R x S^3 and Theories with 16 Supercharges
• Little String Theory from a Double-Scaled Matrix Model
• Instantons of M(atrix) Theory in PP-Wave Background
• Instantons, supersymmetric vacua, and emergent geometries
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Cited by in corpus (7)

• First Results from Lattice Simulation of the PWMM
• BMN Vacua, Superstars and Non-Abelian T-duality
• T-duality, Fiber Bundles and Matrices
• Thermodynamics of theories with sixteen supercharges in non-trivial vacua
• Coarse-Graining the Lin-Maldacena Geometries
• Closed String Tachyons on AdS Orbifolds and Dual Yang-Mills Instantons
• On the existence of the NS5-brane limit of the plane wave matrix model