Bihamiltonian structure of the classical superstring in AdS_5 × S^5

We discuss the bihamiltonian structure of the Metsaev–Tseytlin superstring in AdS_5×S^5. We explicitly write down the boost-invariant symplectic structure for the superstring in AdS_5×S^5 and explain its relation to the standard (canonical) symplectic structure. We discuss the geometrical meaning of the boost-invariant symplectic structure for the bosonic string