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Emergent bubbling geometries in gauge theories with SU(2|4) symmetry
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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.
Forward citations
Cited by 2 Pith papers
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Derivation of the NS5-brane limit of the plane wave matrix model
A double-scaling limit of the BMN/plane-wave matrix model is derived analytically and produces an eigenvalue integral for the 1/4-BPS sector of IIA little string theory on R×S⁵.
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Einstein gravity from a matrix integral -- Part II
Exact localization results for polarized IKKT reveal a divergence in the Ω to 0 limit that is distinct from IKKT, and the large-N eigenvalue dynamics match the electrostatic problem underlying the dual IIB supergravit...
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