186 research outputs found

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

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    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.Comment: This 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

    Vanishing Acts: Civil Rights Reform and Dramatic Inversion in Douglas Turner Ward\u27s \u3cem\u3eDay of Absence\u3c/em\u3e

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    Dramatist Douglas Turner Ward\u27s innovative play Day of Absence first premiered in November 1965 in New York City and has seen a recent national revival, having been staged by theatre companies in Berkeley, New York, Washington, D. C., Omaha, and Chicago, as well as the Maitisong Festival in Gaborone, Botswana. It stands as a creative response to the African American civil rights situation after the 1964 act. Ward explores questions of Black labor and mobility and, in doing so, creates opportunities to invert the dynamics that have historically characterized U. S. society.https://egrove.olemiss.edu/studythesouth/1005/thumbnail.jp

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

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    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.Comment: 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, 200
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