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An alternative approach to KP hierarchy in matrix models. (English) Zbl 0946.81518
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+ constraints, a subset of the correlation functions and the integrable hierarchy characterizing such two-matrix models, correspond exactly to the W 1+ constraints, to the discrete tachyon correlation functions and to the integrable hierarchy of the c=1 string theory.
MSC:
81T40Two-dimensional field theories, conformal field theories, etc.
81T27Continuum limits (quantum theory)
81T30String and superstring theories
37K10Completely integrable systems, integrability tests, bi-Hamiltonian structures, hierarchies