Algebra of Non-Local Charges in Supersymmetric Non-Linear Sigma Models

Abstract

We propose a graphic method to derive the classical algebra (Dirac brackets) of non-local conserved charges in the two dimensional supersymmetric non-linear $O(N)$ sigma model. As in the purely bosonic theory we find a cubic Yangian algebra. We also consider the extension of graphic methods to other integrable theories.

LateX file, 19 pages, figures included with epsf; file with figures has been replaced

References in corpus (4)

• Yangian Symmetry in Conformal Field Theory
• Current Algebra of Classical Non-Linear Sigma Models
• Current Algebra of WZNW Models at and away from Criticality
• On the bootstrap structure of Yangian-invariant factorized S-matrices

Cited by in corpus (4)

• Yangian symmetry in deformed WZNW models on squashed spheres
• Integrability and Canonical Structure of d=2, N=16 Supergravity
• Classical Integrability and Super Yangian of Superstring on AdS_5 x S^5
• Conserved Charges and Supersymmetry in Principal Chiral Models