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Zbl 0946.81518
Bonora, L.; Xiong, C.S.
An alternative approach to KP hierarchy in matrix models. (English)
[J] Phys. Lett., B 285, No.3, 191-198 (1992).

Summary: We show that the most general two-matrix model with bilinear coupling underlies $c=1$ string theory. More precisely, we prove that $W_{1+\infty}$ constraints, a subset of the correlation functions and the integrable hierarchy characterizing such two-matrix models, correspond exactly to the $W_{1+\infty}$ constraints, to the discrete tachyon correlation functions and to the integrable hierarchy of the $c=1$ string theory.

MSC 2000:: *81T40 Two-dimensional field theories, etc.
81T27 Continuum limits
81T30 String and superstring theories
37K10 Completely integrable systems etc.

Keywords: two-matrix model with bilinear coupling; string theory; integrable hierarchy

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