On Integrability of Classical SuperStrings in AdS_5 x S^5

TL;DR

This paper investigates the integrability of superstring equations in AdS_5 x S^5, constructing a Lax representation and analyzing conserved charges in specific subsectors, advancing understanding of superstring dynamics.

Contribution

It introduces a Lax representation for superstring equations in AdS_5 x S^5 and analyzes conserved charges in reduced subsectors, providing new insights into integrability.

Findings

Constructed a Lax representation for superstring Hamiltonian dynamics.

Derived conserved charges in AdS_3 x S^3 and AdS_3 x S^1 subsectors.

Demonstrated integrability properties in specific superstring subsectors.

Abstract

We explore integrability properties of superstring equations of motion in AdS_5 x S^5. We impose light-cone kappa-symmetry and reparametrization gauges and construct a Lax representation for the corresponding Hamiltonian dynamics on subspace of physical superstring degrees of freedom. We present some explicit results for the corresponding conserved charges by consistently reducing the dynamics to AdS_3 x S^3 and AdS_3 x S^1 subsectors containing both bosonic and fermionic fields.