Integrable string models with constant torsion in terms of chiral invariants of SU(n), SO(n), SP(n) groups

Abstract

We used the invariant local chiral currents of principal chiral models for SU(n), SO(n), SP(n) groups to construct new integrable string equations of hydrodynamic type on the Riemmann space of the chiral primitive invariant currents and on the chiral non-primitive Casimir operators as Hamiltonians.

12 pages; 1 figure, This paper is third part of my talk on the "XXII International Colloquium on Group Theoretical Methods in Physics", Yerevan, Armenia, August 13-19, 2008

Cited by in corpus (2)

• Higher Spin Currents in the Orthogonal Coset Theory
• Integrable hydrodynamic equations for initial chiral currents and infinite hydrodynamic chains from WZNW model and string model of WZNW type with $SU(2),$ $SO(3),$ $SP(2),$ $SU(\infty )$, $SO(\infty )$, $SP(\infty )$ constant torsions