${\cal N}=1$ Theories and a Geometric Master Field

Details ${\cal N}=1$ Theories and a Geometric Master Field ${\cal N}=1$ Theories and a Geometric Master Field

2002-11-12

arxiv.org/abs/hep-th/0211100v3

JHEP 0305:033,2003

Physics

High Energy Physics

High Energy Physics - Theory

16 pages; v2. Further elaboration in Sec. 5 on the relation between gauge and matrix eigenvalue distributions, v3: Minor chang

Scientific paper

10.1088/1126-6708/2003/05/033

We study the large $N$ limit of the class of U(N) ${\CN}=1$ SUSY gauge theories with an adjoint scalar and a superpotential $W(\P)$. In each of the vacua of the quantum theory, the expectation values $\la$Tr$\Phi^p$$\ra$ are determined by a master matrix $\Phi_0$ with eigenvalue distribution $\rho_{GT}(\l)$. $\rho_{GT}(\l)$ is quite distinct from the eigenvalue distribution $\rho_{MM}(\l)$ 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 $\rho_{GT}(\l)$, knowing $\rho_{MM}(\l)$.

Affiliated with

Also associated with

No associations

Rating

${\cal N}=1$ Theories and a Geometric Master Field does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with ${\cal N}=1$ Theories and a Geometric Master Field, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and ${\cal N}=1$ Theories and a Geometric Master Field will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-19335