From phase space to integrable representations and level-rank duality
Starts 8 May 2018 14:30
Ends 8 May 2018 16:00
Central European Time
Leonardo Building - Luigi Stasi Seminar Room
Abstract. We shall present a phase space description of unitary matrix model. It is well known that eigenvalues of unitary matrices are like positions of free fermions. We show that in large N limit, number of boxes in Young diagram corresponding to dominant representation of SU(N) plays the role of momentum for those fermions. A relation between eigenvalues and number of boxes allows one to provide a phase space description for different large N phases of the theory. We shall consider Chern-Simons matter theory on $S^2\times S^1$ in particular and discuss how phase space description forces the corresponding dominant representations to be integrable. We also discus the level-rank duality between different dominant representations.
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