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Oscillatory matrix model in Chern-Simons theory and Jacobi-theta determinantal point process

Oscillatory matrix model in Chern-Simons theory and Jacobi-theta determinantal point process

The partition function of the Chern-Simons theory on the three-sphere with the unitary group U(N) provides a one-matrix model. The corresponding N-particle system can be mapped to the determinantal point process whose correlation kernel is expressed by using the Stieltjes-Wigert orthogonal polynomials. The matrix model and the point process are …