General Lin-Maldacena solutions and PWMM Instantons from supergravity
Greg van Anders
TL;DR
This paper develops a method to find supergravity duals for various vacua of matrix models and SYM theories, and applies it to analyze instantons at strong coupling, advancing understanding of gauge/gravity duality.
Contribution
It introduces a systematic approach using electrostatics to construct supergravity solutions for different vacua and explores instanton effects at strong coupling.
Findings
Supergravity solutions for arbitrary vacua are obtained via electrostatics.
The method enables analysis of instantons in matrix models at strong coupling.
New insights into gauge/gravity duality are provided.
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.
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