The charge-sector coefficient of the Type-IIB axion-dilaton wormhole partition function is shown to be a chiral Wishart hard-edge limit of the D(-1)/D3 super-ADHM collective-coordinate integral.
Nagao and S.M
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abstract
The zero momentum sectors in effective theories of QCD coupled to pseudoreal (two colors) and real (adjoint) quarks have alternative descriptions in terms of chiral orthogonal and symplectic ensembles of random matrices. Using this correspondence, we compute correlation functions of Dirac operator eigenvalues within a sector with an arbitrary topological charge in a presence of finite quark masses of the order of the smallest Dirac eigenvalue. These novel correlation functions, expressed in terms of Pfaffians, interpolate between known results for the chiral and quenched limits as quark masses vary.
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Review of random matrix theory application to quantum chaos, covering symmetry classes, eigenvalue statistics, unfolding, and correlation functions.
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The Chiral Random-Matrix Ensemble of the Type-IIB Axion--Dilaton Wormhole Partition Function
The charge-sector coefficient of the Type-IIB axion-dilaton wormhole partition function is shown to be a chiral Wishart hard-edge limit of the D(-1)/D3 super-ADHM collective-coordinate integral.
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Quantum chaotic systems: a random-matrix approach
Review of random matrix theory application to quantum chaos, covering symmetry classes, eigenvalue statistics, unfolding, and correlation functions.