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

Abstract

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.