POSSIBLE IMPLICATIONS OF INTEGRABLE SYSTEMS FOR STRING THEORY

Author:

GERASIMOV A.1,LEBEDEV D.1,MOROZOV A.1

Affiliation:

1. Institute of Theoretical and Experimental Physics, B. Cheremushkinskaya 25, 117295 Moscow, USSR

Abstract

A kind of program for the unification of conformal and two-dimensional integrable models is described. Integrable systems, defined by the condition of vanishing curvature (Lax representation), can be derived from universal generalizations of Wess-Zumino-Witten action, including one more integration (over spectral parameter λ). Such actions, in their turn, should be derivable from some membrane-like action, related to the Kirillov-Kostant form for some quantum two-loop Lie algebras (like complexification of Fairlie’s deformed algebra of two-dimensional area-preserving reparametrizations).

Publisher

World Scientific Pub Co Pte Lt

Subject

Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics

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