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

  • Elementary Particles and Fields Theory
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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 Riemann space of the chiral primitive invariant currents and on the chiral nonprimitive Casimir operators as Hamiltonians.

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References

  1. Y. Y. Goldschmidt and E. Witten, Phys. Lett. B 91, 392 (1980).

    Article  MathSciNet  ADS  Google Scholar 

  2. I. Ya. Aref’eva, P. P. Kulish, E. R. Nissimov, and S. J. Pacheva, Preprint No. E-I-1978, LOMI (unpublished).

  3. J. M. Evans, M. Hassan, N. J. MacKay, and A. J. Mountain, Nucl. Phys. B 561, 385 (1999); hepth/9902008.

    Article  MATH  MathSciNet  ADS  Google Scholar 

  4. V. D. Gershun, Problems At. Sci. Technol., No. 3 (Part 1), 16 (2007).

  5. V. D. Gershun, SIGMA 4, 041 (2008); arXiv: 0805.0656 [nlin. SI].

    MathSciNet  Google Scholar 

  6. J. A. de Azcarraga, A. J. Macfarlane, A. J. Mountain, and J. C. Perez Bueno, Nucl. Phys. B 510, 657 (1998); physics/9706006.

  7. J. Balog, L. Feher, P. Forgacs, L. O’Raifeartaigh, and A. Wipf, Phys. Lett. B 244, 435 (1990).

    Article  MathSciNet  ADS  Google Scholar 

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Correspondence to V. D. Gershun.

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Gershun, V.D. Integrable string models with constant torsion in terms of chiral invariants of SU(n), SO(n), SP(n groups. Phys. Atom. Nuclei 73, 304–310 (2010). https://doi.org/10.1134/S106377881002016X

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  • DOI: https://doi.org/10.1134/S106377881002016X

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