Little String Theory from a Double-Scaled Matrix Model

TL;DR

This paper constructs exact supergravity solutions dual to vacua of the plane wave matrix model, revealing a double scaling limit where the model describes Little String Theory on S^5 with a linear dilaton background.

Contribution

It identifies a precise double scaling limit of the plane wave matrix model that captures Little String Theory on S^5 through a Lagrangian matrix quantum mechanics framework.

Findings

Derived supergravity solutions via electrostatics problem.

Established the double scaling limit with N→∞ and λ∼ln^4(N).

Proposed a matrix model description of Little String Theory.

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 \lambda scales 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.