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.

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Published 1 January 2010