

Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
January 23, 2019 14:00, Moscow, Steklov Mathematical Institute of RAS, Room 404 (8 Gubkina)






Replicanondiagonal solutions in the SYK model (part 2)
M. A. Khramtsov^{} 
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Abstract:
The talk is devoted to the discussion of the SYK model of randomly interacting fermions beyond the replicadiagonal approximation. In the second part of the talk the exact replicanondiagonal saddle points will be discussed. At finite replica number the analytic exact solutions in the quadratic version of the model and numerical replicanondiagonal solutions in the quartic interacting version of the model are constructed. It will be shown that the families of replicanondiagonal solutions in quadratic and quartic SYK models are in the onetoone correspondence. Also the contributions from these saddle points to the replica partition function and other quantities will be discussed.
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