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

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

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 Riemann space of the chiral primitive invariant currents and on the chiral nonprimitive Casimir operators as Hamiltonians.

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Bibliographische Detailangaben
Veröffentlicht in:Physics of atomic nuclei 2010-02, Vol.73 (2)
1. Verfasser: Gershun, V. D.
Format: Artikel
Sprache:eng
Schlagworte:
CASIMIR OPERATORS
CHIRALITY
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
COMPOSITE MODELS
EXTENDED PARTICLE MODEL
HAMILTONIANS
INTEGRAL CALCULUS
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MATHEMATICS
PARTICLE MODELS
PARTICLE PROPERTIES
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
QUANTUM OPERATORS
QUARK MODEL
RIEMANN SPACE
SO GROUPS
SP GROUPS
SPACE
STRING MODELS
SU GROUPS
SYMMETRY GROUPS
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Zusammenfassung: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 Riemann space of the chiral primitive invariant currents and on the chiral nonprimitive Casimir operators as Hamiltonians.
ISSN:1063-7788
1562-692X
DOI:10.1134/S106377881002016X