| Abstract: | One obtains the algebra of simultaneous Poisson brackets for currents in a two-dimensional relativistic model, generalizing the sine-Gordon equation to the matrix case. The considered model is characterized by the nonultralocality of the Poisson brackets and its action contains a multivalued functional, known in the physical literature as the Wess-Zumino functional.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 146, pp. 3–8, 1985.In conclusion, the authors express their deep gratitude to L. D. Faddeev, L. A. Takhtadzhyan, N. Yu. Reshetikhin for their interest in the paper and for useful observations. |
