Integrable String Models in Terms of Chiral Invariants of SU(n), SO(n), SP(n) Groups

Details Integrable String Models in Terms of Chiral Invariants of SU(n), SO(n), SP(n) Groups Integrable String Models in Terms of Chiral Invariants of SU(n), SO(n), SP(n) Groups

2008-05-06

arxiv.org/abs/0805.0656v1

SIGMA 4:041,2008

Nonlinear Sciences

Exactly Solvable and Integrable Systems

This is a contribution to the Proc. of the Seventh International Conference ''Symmetry in Nonlinear Mathematical Physics'' (Ju

Scientific paper

10.3842/SIGMA.2008.041

We considered two types of string models: on the Riemmann space of string coordinates with null torsion and on the Riemman-Cartan space of string coordinates with constant torsion. We used the hydrodynamic approach of Dubrovin, Novikov to integrable systems and Dubrovin solutions of WDVV associativity equation to construct new integrable string equations of hydrodynamic type on the torsionless Riemmann space of chiral currents in first case. 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 in second case. We also used Pohlmeyer tensor nonlocal currents to construct new nonlocal string equation.

Affiliated with

Also associated with

No associations

Rating

Integrable String Models in Terms of Chiral Invariants of SU(n), SO(n), SP(n) Groups does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Integrable String Models in Terms of Chiral Invariants of SU(n), SO(n), SP(n) Groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Integrable String Models in Terms of Chiral Invariants of SU(n), SO(n), SP(n) Groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-208806