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Solving Virasoro Constraints in Matrix Models

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arxiv hep-th/0412205 v1 pith:OXSFAGF3 submitted 2004-12-17 hep-th

Solving Virasoro Constraints in Matrix Models

classification hep-th
keywords equationsgeneralmatrixpolynomialsolutionsvirasoroarbitrarybrief
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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This is a brief review of recent progress in constructing solutions to the matrix model Virasoro equations. These equations are parameterized by a degree n polynomial W_n(x), and the general solution is labeled by an arbitrary function of n-1 coefficients of the polynomial. We also discuss in this general framework a special class of (multi-cut) solutions recently studied in the context of \cal N=1 supersymmetric gauge theories.

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