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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.