Complex Curve of the Two Matrix Model and its Tau-function

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dc.creatorKazakov, Vladimir A.
dc.creatorMarshakov, Andrei
dc.date2002-11-25
dc.date2003-03-31
dc.date.accessioned2026-07-07T10:49:31Z
dc.date.available2026-07-07T10:49:31Z
dc.descriptionWe study the hermitean and normal two matrix models in planar approximation for an arbitrary number of eigenvalue supports. Its planar graph interpretation is given. The study reveals a general structure of the underlying analytic complex curve, different from the hyperelliptic curve of the one matrix model. The matrix model quantities are expressed through the periods of meromorphic generating differential on this curve and the partition function of the multiple support solution, as a function of filling numbers and coefficients of the matrix potential, is shown to be the quasiclassical tau-function. The relation to softly broken N=1 supersymmetric Yang-Mills theories is discussed. A general class of solvable multimatrix models with tree-like interactions is considered.
dc.description36 pages, 10 figures, TeX; final version appeared in special issue of J.Phys. A on Random Matrix Theory
dc.identifierhttps://arxiv.org/abs/hep-th/0211236
dc.identifierhttp://arxiv.org/abs/hep-th/0211236
dc.identifierJ.Phys.A36:3107-3136,2003
dc.identifierdoi:10.1088/0305-4470/36/12/315
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/184241
dc.subjectHigh Energy Physics - Theory
dc.subjectExactly Solvable and Integrable Systems
dc.titleComplex Curve of the Two Matrix Model and its Tau-function
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