Two dimensional supersymmetric models and some of their thermodynamic properties from the context of SDLCQ.

摘要

Supersymmetric Discrete Light Cone Quantization is utilized to derive the full mass spectrum of two dimensional supersymmetric theories. The thermal properties of such models are studied by constructing the density of states. We consider pure super Yang-Mills theory without and with fundamentals in large-Nc approximation. For the latter we include a Chern-Simons term to give mass to the adjoint partons. In both of the theories we find that the density of states grows exponentially and the theories have a Hagedorn temperature TH. For the pure SYM we find that TH at infinite resolution is slightly less than one in units of g2Ncp . In this temperature range, we find that the thermodynamics is dominated by the massless states. For the system with fundamental matter we consider the thermal properties of the mesonic part of the spectrum. We find that the meson-like sector dominates the thermodynamics. We show that in this case TH grows with the gauge coupling. The temperature and coupling dependence of the free energy for temperatures below TH are calculated. As expected, the free energy for weak coupling and low temperature grows quadratically with the temperature. The ratio of free energies at strong coupling compared to weak coupling, rs-w, for low temperatures grows quadratically with T. Our data indicate that rs-w tends to zero in the continuum at low temperatures. Finally a super-QCD model realized from weakly coupled D3-D7 branes is proposed as a future project in SDLCQ.