Solving Virasoro constraints in matrix models | Zendy

Alexandrov A. | Zendy; Mironov A. | Zendy; Morozov A. | Zendy

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Solving Virasoro constraints in matrix models

Author(s) -

Alexandrov A.,

Mironov A.,

Morozov A.

Publication year - 2005

Publication title -

fortschritte der physik

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.469

H-Index - 71

eISSN - 1521-3978

pISSN - 0015-8208

DOI - 10.1002/prop.200410212

Subject(s) - parameterized complexity , polynomial , class (philosophy) , context (archaeology) , matrix (chemical analysis) , mathematics , gauge (firearms) , degree (music) , matrix polynomial , algebra over a field , pure mathematics , function (biology) , computer science , combinatorics , mathematical analysis , physics , history , paleontology , materials science , archaeology , artificial intelligence , evolutionary biology , acoustics , composite material , biology

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 = 1 supersymmetric gauge theories.

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