Script N = 1 theories and a geometric master field

Published 20 May 2003 Published under licence by IOP Publishing Ltd
, , Citation Rajesh Gopakumar JHEP05(2003)033 DOI 10.1088/1126-6708/2003/05/033

1126-6708/2003/05/033

Abstract

We study the large-N limit of the class of U(N)Script N = 1 SUSY gauge theories with an adjoint scalar and a superpotential W(桅). In each of the vacua of the quantum theory, the expectation values <Trp> are determined by a master matrix 桅0 with eigenvalue distribution 蟻GT(位). 蟻GT(位) is quite distinct from the eigenvalue distribution 蟻MM(位) of the corresponding large-N matrix model proposed by Dijkgraaf and Vafa. Nevertheless, it has a simple form on the auxiliary riemann surface of the matrix model. Thus the underlying geometry of the matrix model leads to a definite prescription for computing 蟻GT(位), knowing 蟻MM(位).

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10.1088/1126-6708/2003/05/033