Instantons, supersymmetric vacua, and emergent geometries

Abstract

We study instanton solutions and superpotentials for the large number of vacua of the plane-wave matrix model and a 2+1 dimensional Super Yang-Mills theory on $R\times S^2$ with sixteen supercharges. We get the superpotential in the weak coupling limit from the gauge theory description. We study the gravity description of these instantons. Perturbatively with respect to a background, they are Euclidean branes wrapping cycles in the dual gravity background. Moreover, the superpotential can be given by the energy of the electric charge system characterizing each vacuum. These charges are interpreted as the eigenvalues of matrices from a reduction for the 1/8 BPS sector of the gauge theories. We also discuss qualitatively the emergence of the extra spatial dimensions appeared on the gravity side.

29 pages, 3 figures, latex. v2: references added, comments added. v3: accepted version in PRD

References in corpus (6)

• A Perturbative Window into Non-Perturbative Physics
• On gravitational description of Wilson lines
• A description of 1/4 BPS configurations in minimal type IIB SUGRA
• N=4 SYM on R x S^3 and Theories with 16 Supercharges
• Little String Theory from a Double-Scaled Matrix Model
• On fuzzy spheres and (M)atrix actions

Cited by in corpus (13)

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• 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
• BPS states in type IIB SUGRA with $SO(4)\times SO(2)_{gauged} symmetry
• Direct test of the AdS/CFT correspondence by Monte Carlo studies of N=4 super Yang-Mills theory
• Ferromagnetic Gyroscopes for Tests of Fundamental Physics
• T-duality, Fiber Bundles and Matrices
• Thermodynamics of theories with sixteen supercharges in non-trivial vacua
• General Lin-Maldacena solutions and PWMM Instantons from supergravity
• Bounces/Dyons in the Plane Wave Matrix Model and SU(N) Yang-Mills Theory
• Closed String Tachyons on AdS Orbifolds and Dual Yang-Mills Instantons