Geometric construction of elliptic integrable systems and N=1^* superpotentials

Details Geometric construction of elliptic integrable systems and N=1^* superpotentials Geometric construction of elliptic integrable systems and N=1^* superpotentials

2001-12-12

arxiv.org/abs/hep-th/0112109v2

JHEP 0201 (2002) 020

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, uses latex; v2: references added

Scientific paper

10.1088/1126-6708/2002/01/020

We show how the elliptic Calogero-Moser integrable systems arise from a symplectic quotient construction, generalising the construction for A_{N-1} by Gorsky and Nekrasov to other algebras. This clarifies the role of (twisted) affine Kac-Moody algebras in elliptic Calogero-Moser systems and allows for a natural geometric construction of Lax operators for these systems. We elaborate on the connection of the associated Hamiltonians to superpotentials for N=1* deformations of N=4 supersymmetric gauge theory, and argue how non-perturbative physics generates the elliptic superpotentials. We also discuss the relevance of these systems and the associated quotient construction to open problems in string theory. In an appendix, we use the theory of orbit algebras to show the systematics behind the folding procedures for these integrable models.

Affiliated with

Also associated with

No associations

Rating

Geometric construction of elliptic integrable systems and N=1^* superpotentials 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 Geometric construction of elliptic integrable systems and N=1^* superpotentials, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Geometric construction of elliptic integrable systems and N=1^* superpotentials will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-82582