Critical Points of Glueball Superpotentials and Equilibria of Integrable Systems

Details Critical Points of Glueball Superpotentials and Equilibria of Integrable Systems Critical Points of Glueball Superpotentials and Equilibria of Integrable Systems

2003-05-02

arxiv.org/abs/hep-th/0305023v4

JHEP 0310:051,2003

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, JHEP3.cls, Hamiltonian and glueball superpotential agree for N=1* as well

Scientific paper

10.1088/1126-6708/2003/10/051

We compare the matrix model and integrable system approaches to calculating the exact vacuum structure of general N=1 deformations of either the basic N=2 theory or its generalization with a massive adjoint hypermultiplet, the N=2* theory. We show that there is a one-to-one correspondence between arbitrary critical points of the Dijkgraaf-Vafa glueball superpotential and equilibrium configurations of the associated integrable system. The latter being either the periodic Toda chain, for N=2, or the elliptic Calogero-Moser system, for N=2*. We show in both cases that the glueball superpotential at the crtical point equals the associated Hamiltonian. Our discussion includes an analysis of the vacuum structure of the N=1* theory with an arbitrary tree-level superpotential for one of the adjoint chiral fields.

Affiliated with

Also associated with

No associations

Rating

Critical Points of Glueball Superpotentials and Equilibria of Integrable Systems 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 Critical Points of Glueball Superpotentials and Equilibria of Integrable Systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Critical Points of Glueball Superpotentials and Equilibria of Integrable Systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-703638