N = 1 theories and a geometric master field

Gopakumar, Rajesh (2003) N = 1 theories and a geometric master field Journal of High Energy Physics, 2003 (5). No pp. given. ISSN 1126-6708

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Official URL: http://iopscience.iop.org/1126-6708/2003/05/033

Related URL: http://dx.doi.org/10.1088/1126-6708/2003/05/033

Abstract

We study the large-N limit of the class of U(N) N = 1 SUSY gauge theories with an adjoint scalar and a superpotential W(Φ). In each of the vacua of the quantum theory, the expectation values <TrΦp> are determined by a master matrix Φ0 with eigenvalue distribution ρGT(λ). ρGT(λ) is quite distinct from the eigenvalue distribution ρMM(λ) 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 ρGT(λ), knowing ρMM(λ).

Item Type:Article
Source:Copyright of this article belongs to Institute of Physics Publishing.
Keywords:Matrix Models; 1/N Expansion
ID Code:22377
Deposited On:23 Nov 2010 12:57
Last Modified:17 May 2016 06:26

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