Hamiltonian dynamics and the hidden symmetries of the $AdS_5$ x $S^5$ superstring
Fri, Jan. 15th 2010, 14:15
Salle Claude Itzykson, Bât. 774, Orme des Merisiers
We construct the Lax connection of the Green-Schwarz superstring in $AdS_5$ x $S^5$ within the Hamiltonian formalism and obtain precisely that used in 0810.4136. It differs in a crucial way from the Bena-Polchinski-Roiban connection by terms proportional to the Hamiltonian constraints. These extra terms ensure firstly that the integrals of motion are all first class and secondly that the Lax connection is flat in the strong sense.