Little String Theory from a Double-Scaled Matrix Model

Abstract

Following Lin and Maldacena, we find exact supergravity solutions dual to a class of vacua of the plane wave matrix model by solving an electrostatics problem. These are asymptotically near-horizon D0-brane solutions with a throat associated with NS5-brane degrees of freedom. We determine the precise limit required to decouple the asymptotic geometry and leave an infinite throat solution found earlier by Lin and Maldacena, dual to Little String Theory on S^5. By matching parameters with the gauge theory, we find that this corresponds to a double scaling limit of the plane wave matrix model in which N \to \infty and the 't Hooft coupling λscales as \ln^4(N), which we speculate allows all terms in the genus expansion to contribute even at infinite N. Thus, the double-scaled matrix quantum mechanics gives a Lagrangian description of Little String Theory on S^5, or equivalently a ten-dimensional string theory with linear dilaton background.

31 pages, LaTeX, 3 figures. Correction of typos in the appendices

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Cited by in corpus (20)

• N=4 Super Yang-Mills from the Plane Wave Matrix Model
• Embedding of theories with SU(2|4) symmetry into the plane wave matrix model
• Thermodynamics of the BMN matrix model at strong coupling
• First Results from Lattice Simulation of the PWMM
• On Half-BPS States of the ABJM Theory
• BMN Vacua, Superstars and Non-Abelian T-duality
• Phase Transitions of Large N Orbifold Gauge Theories
• Exact results for perturbative partition functions of theories with SU(2|4) symmetry
• T-duality, Fiber Bundles and Matrices
• Emergent bubbling geometries in the plane wave matrix model
• Instantons, supersymmetric vacua, and emergent geometries
• Emergent bubbling geometries in gauge theories with SU(2|4) symmetry
• Thermodynamics of theories with sixteen supercharges in non-trivial vacua
• General Lin-Maldacena solutions and PWMM Instantons from supergravity
• A Type IIB Matrix Model via non-Abelian T-dualities
• Little String Theory from Double-Scaling Limits of Field Theories
• Bounces/Dyons in the Plane Wave Matrix Model and SU(N) Yang-Mills Theory
• Spherical transverse M5-branes from the plane wave matrix model
• Coarse-Graining the Lin-Maldacena Geometries
• On the existence of the NS5-brane limit of the plane wave matrix model