Discrete and oscillatory Matrix Models in Chern-Simons theory

Abstract

We derive discrete and oscillatory Chern-Simons matrix models. The method is based on fundamental properties of the associated orthogonal polynomials. As an application, we show that the discrete model allows to prove and extend the recently found relationship between Chern-Simons theory and q-deformed 2dYM. In addition, the equivalence of the Chern-Simons matrix models gives a complementary view on the equivalence of effective superpotentials in N=1 gauge theories.

17 pages, 6 figures; v2: minor corrections

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Cited by in corpus (22)

• Chern-Simons matrix models and Stieltjes-Wigert polynomials
• Level-rank duality of the U(N) WZW model, Chern-Simons theory, and 2d qYM theory
• Topological strings and large N phase transitions II: Chiral expansion of q-deformed Yang-Mills theory
• Phase transitions in q-deformed 2d Yang-Mills theory and topological strings
• 3d-3d Correspondence Revisited
• Supersymmetric $U(N)$ Chern-Simons-matter theory and phase transitions
• A DK Phase Transition in q-Deformed Yang-Mills on S^2 and Topological Strings
• Chern-Simons matrix models, two-dimensional Yang-Mills theory and the Sutherland model
• q-deformations of two-dimensional Yang-Mills theory: Classification, categorification and refinement
• A Note on Knot Invariants and q-Deformed 2d Yang-Mills
• Localization for Wilson Loops in Chern-Simons Theory
• D-Brane Amplitudes in Topological String on Conifold
• Oscillatory matrix model in Chern-Simons theory and Jacobi-theta determinantal point process
• Noncolliding Brownian Motion with Drift and Time-Dependent Stieltjes-Wigert Determinantal Point Process
• Two-dimensional Yang-Mills theory, Painleve equations and the six-vertex model
• Instanton Counting and Matrix Model
• Polynomial solution of quantum Grassmann matrices
• A Diffusion Model for SU(N) QCD Screening
• Supersymmetric gauge theories, Coulomb gases and Chern-Simons matrix models
• Chern-Simons theory, exactly solvable models and free fermions at finite temperature
• Orientation Reversal and the Chern-Simons Natural Boundary
• Large-N limit of the two-dimensinal Non-Local Yang-Mills theory on arbitrary surfaces with boundary