Calendar of Physics Talks Vienna

Integrable systems with BMS 3 Poisson structure
Speaker:Pablo Rodriguez Tapia (CECs Valdivia)
Abstract:We construct a hierarchy of integrable systems whose Poisson structure corresponds to the BMS3 algebra. The analysis is performed in terms of two-dimensional gauge fields for isl(2, R), being isomorphic to the Poincare algebra in 3D. The hierarchy turns out to be bi-Hamiltonian, labeled by a nonnegative integer k, and defined through a suitable generalization of the Gelfand-Dikii polynomials. The symmetries of the hierarchy are explicitly found. For k ≥ 1, the corresponding conserved charges span an infinite-dimensional Abelian algebra with no central extensions; while in the case of k = 0, they generate the BMS3 algebra. A wide class of analytic solutions is also explicitly constructed for a generic value of k.
Date: Thu, 28.09.2017
Time: 16:00
Duration: 60 min
Location:SEM 136, TU Wien, Freihaus, 10th floor (Wiedner Hauptstr. 8-10, A-1040 Vienna)
Contact:Daniel Grumiller