Emergent bubbling geometries in gauge theories with SU(2|4) symmetry

Abstract

We study the gauge/gravity duality between bubbling geometries in type IIA supergravity and gauge theories with SU(2|4) symmetry, which consist of N=4 super Yang-Mills on $R\times S^3/Z_k$, N=8 super Yang-Mills on $R\times S^2$ and the plane wave matrix model. We show that the geometries are realized as field configurations in the strong coupling region of the gauge theories. On the gravity side, the bubbling geometries can be mapped to electrostatic systems with conducting disks. We derive integral equations which determine the charge densities on the disks. On the gauge theory side, we obtain a matrix integral by applying the localization to a 1/4-BPS sector of the gauge theories. The eigenvalue densities of the matrix integral turn out to satisfy the same integral equations as the charge densities on the gravity side. Thus we find that these two objects are equivalent.

arXiv comment29 pages, 3 figures; v2: typos corrected and a reference added

References in corpus (20)

• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• Strings in flat space and pp waves from $\mathcal{N}=4$ Super Yang Mills
• Localization of gauge theory on a four-sphere and supersymmetric Wilson loops
• Bubbling AdS space and 1/2 BPS geometries
• Matrix Description of M-theory on $T^5$ and $T^5/Z_2$
• A toy model for the AdS/CFT correspondence
• D-brane field theory on compact spaces
• A brief review of "little string theories"
• Matrix Description of M-theory on $T^4$ and $T^5$
• Transverse Fivebranes in Matrix Theory
• Bubbling Geometries for Half BPS Wilson lines
• Bubbling AdS and droplet descriptions of BPS geometries in IIB supergravity
• Embedding of theories with SU(2|4) symmetry into the plane wave matrix model
• Complex Matrix Model and Fermion Phase Space for Bubbling AdS Geometries
• Little String Theory from a Double-Scaled Matrix Model
• 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
• Little String Theory from Double-Scaling Limits of Field Theories

Cited by in corpus (8)

• Matrix Geometry and Coherent States
• BMN Vacua, Superstars and Non-Abelian T-duality
• The non-perturbative phase diagram of the BMN matrix model
• On the transverse M5-branes in matrix theory
• Spherical transverse M5-branes from the plane wave matrix model
• Interior analysis, stretched technique and bubbling geometries
• Witten index of BMN matrix quantum mechanics
• On the existence of the NS5-brane limit of the plane wave matrix model