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We construct a one-dimensional (1D) spin chain Hamiltonian with generic interactions and prove that the thermal correlation functions of the model admit an explicit random matrix representation. As an application of the result, we show how the o[...]texto impreso
By using random matrix models, we uncover a connection between the low-energy sector of four-dimensional QCD at finite volume and the Heisenberg XX model in a 1D spin chain. This connection allows us to relate crucial properties of QCD with phys[...]texto impreso
We solve, for finite N, the matrix model of supersymmetric U(N) Chern-Simons theory coupled to Nf massive hypermultiplets of R-charge ½, together with a Fayet-Iliopoulos term. We compute the partition function by identifying it with a determinan[...]texto impreso
We develop Coulomb gas pictures of strong and weak coupling regimes of supersymmetric Yang-Mills theory in five and four dimensions. By relating them to the matrix models that arise in Chern-Simons theory, we compute their free energies in the l[...]texto impreso
We study (Formula presented.) supersymmetric U(N) Chern–Simons with (Formula presented.) fundamental and (Formula presented.) antifundamental chiral multiplets of mass m in the parameter space spanned by (g, m, N, Nf), where g denotes the coupli[...]texto impreso
We give, using an explicit expression obtained in (Jones V, Ann Math 126:335, 1987), a basic hypergeometric representation of the HOMFLY polynomial of (n, m) torus knots, and present a number of equivalent expressions, all related by Heine’s tra[...]
