Supersymmetric <i>U</i>(<i>N</i>) Chern-Simons-Matter Theory and Phase Transitions

We study N=2 supersymmetric U(N) Chern–Simons with Nf fundamental and Nf antifundamental chiral multiplets of mass m in the parameter space spanned by (g, m, N, Nf), where g denotes the coupling constant. In particular, we analyze the matrix model description of its partition function, both at finit...

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Autores principales: Russo, Jorge G., Silva, Guillermo Ariel, Tierz, Miguel
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2015
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Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/99152
https://ri.conicet.gov.ar/11336/50032
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Sumario:We study N=2 supersymmetric U(N) Chern–Simons with Nf fundamental and Nf antifundamental chiral multiplets of mass m in the parameter space spanned by (g, m, N, Nf), 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 > Nf, three regimes that exactly correspond to the known three large N phases of the theory are identified and characterized.