Bihamiltonian structure of the classical superstring in AdS_5 x S**5

TL;DR

This paper explores the bihamiltonian structure of the superstring in AdS_5 x S^5, providing explicit symplectic structures and analyzing their geometric and physical implications.

Contribution

It explicitly constructs the boost-invariant symplectic structure for the superstring in AdS_5 x S^5 and relates it to the canonical structure, offering new insights into the string's geometric properties.

Findings

Explicit boost-invariant symplectic structure derived

Relation established between boost-invariant and canonical structures

Geometrical interpretation of the symplectic structure provided

Abstract

We discuss the bihamiltonian structure of the Metsaev-Tseytlin superstring in AdS_5 x S**5. We explicitly write down the boost-invariant symplectic structure for the superstring in AdS_5 x 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.