Abstract
We study \({{\mathcal{N}} = 2}\) supersymmetric U(N) Chern–Simons with \({N_{f}}\) fundamental and \({N_{f}}\) antifundamental chiral multiplets of mass m in the parameter space spanned by (g, m, N, N f ), where g denotes the coupling constant. In particular, we analyze the matrix model description of its partition function, both at finite N using the method of orthogonal polynomials together with Mordell integrals and, at large N with fixed g, using the theory of Toeplitz determinants. We show for the massless case that there is an explicit realization of the Giveon–Kutasov duality. For finite N, with \({N > N_{f}}\), three regimes that exactly correspond to the known three large N phases of the theory are identified and characterized.
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Russo, J.G., Silva, G.A. & Tierz, M. Supersymmetric U(N) Chern–Simons-Matter Theory and Phase Transitions. Commun. Math. Phys. 338, 1411–1442 (2015). https://doi.org/10.1007/s00220-015-2399-4
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DOI: https://doi.org/10.1007/s00220-015-2399-4