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On Geometry and Matrix Models
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We point out two extensions of the relation between matrix models, topological strings and N=1 supersymmetric gauge theories. First, we note that by considering double scaling limits of unitary matrix models one can obtain large N duals of the local Calabi-Yau geometries that engineer N=2 gauge theories. In particular, a double scaling limit of the Gross-Witten one-plaquette lattice model gives the SU(2) Seiberg-Witten solution, including its induced gravitational corrections. Secondly, we point out that the effective superpotential terms for N=1 ADE quiver gauge theories is similarly computed by large multi-matrix models, that have been considered in the context of ADE minimal models on random surfaces. The associated spectral curves are multiple branched covers obtained as Virasoro and W-constraints of the partition function.
Forward citations
Cited by 4 Pith papers
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The universality class of the first levels in low-dimensional gravity
Near-edge states in dense chaotic systems and in JT gravity have a universal, analytically computed fidelity susceptibility distribution that is heavy-tailed yet parametrically more rigid than bulk states.
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On the large N convergence of matrix models
In the semiclassical approximation the eigenvalues of the SU(N) matrix model Hamiltonian converge one-to-one to the eigenvalues of the continuum supermembrane Hamiltonian with central charge as N approaches infinity.
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Comments on firewalls in JT gravity with matter
A twist factor cutoff from eigenvalue branes reproduces the gray hole firewall probabilities in JT gravity, with matter loop corrections subleading at late times.
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Phases and triple(multiple) point: critical phenomena around the AD singularity
For the L=2 one-unitary matrix model, the paper determines the phase separation lines, finds a triple point at (tau, lambda)=(1/8, 3/2), and identifies the 1-to-2 gap line as the k=2 multicritical line.
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