New phase transitions in Chern-Simons theory; toward gauge/integrability duality
by
DrAli Zahabi(University of Helsinki, Helsinki, Finland)
→
Asia/Tehran
Accelerator Seminar Room (Larak)
Accelerator Seminar Room
Larak
Institute for Research in Fundamental Sciences, Larak Garden, Artesh Hwy, Tehran, Iran
Description
Applying the machinery of random matrix theory and Toeplitz determinants we study Chern–Simons theory coupled with fundamental matter at finite temperature. This theory admits a discrete unitary matrix model representation. In this study, the effective partition function and phase structure of the Chern–Simons matter theory are investigated. We obtain an exact expression for the partition function of the Chern–Simons matter theory at finite values of the parameters and in the asymptotic regime. In a special case, we show that ratio of the Chern–Simons matter partition function and the continuous two-dimensional Yang–Mills partition function, in the asymptotic regime, is the Tracy–Widom distribution. Consequently, using the explicit results for free energy of the theory, new second-order and third-order phase transitions are observed.