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

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dc.creatorGershun, Victor D.
dc.date2008-05-06
dc.date.accessioned2026-07-07T12:20:02Z
dc.date.available2026-07-07T12:20:02Z
dc.descriptionWe 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.
dc.descriptionThis is a contribution to the Proc. of the Seventh International Conference ''Symmetry in Nonlinear Mathematical Physics'' (June 24-30, 2007, Kyiv, Ukraine), published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
dc.identifierhttps://arxiv.org/abs/0805.0656
dc.identifierhttp://arxiv.org/abs/0805.0656
dc.identifierSIGMA 4:041,2008
dc.identifierdoi:10.3842/SIGMA.2008.041
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/212959
dc.subjectExactly Solvable and Integrable Systems
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleIntegrable String Models in Terms of Chiral Invariants of SU(n), SO(n), SP(n) Groups
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