Factorization of Seiberg-Witten Curves and Compactification to Three Dimensions
arXiv:hep-th/0305189 · doi:10.1088/1126-6708/2004/03/010
Abstract
We continue our study of nonperturbative superpotentials of four-dimensional N=2 supersymmetric gauge theories with gauge group U(N) on R^3 x S^1, broken to N=1 due to a classical superpotential. In a previous paper, hep-th/0304061, we discussed how the low-energy quantum superpotential can be obtained by substituting the Lax matrix of the underlying integrable system directly into the classical superpotential. In this paper we prove algebraically that this recipe yields the correct factorization of the Seiberg-Witten curves, which is an important check of the conjecture. We will also give an independent proof using the algebraic-geometrical interpretation of the underlying integrable system.
laTeX, 14 pages, uses AMSmath
References in corpus (12)
- Integrability and Seiberg-Witten Exact Solution
- A Perturbative Window into Non-Perturbative Physics
- Integrable systems and supersymmetric gauge theory
- Whitham-Toda hierarchy and N = 2 supersymmetric Yang-Mills theory
- An Elliptic Superpotential for Softly Broken N=4 Supersymmetric Yang-Mills Theory
- On Exactly Marginal Deformations of N=4 SYM and Type IIB Supergravity on AdS_5 * S^5
- N=1 Supersymmetry, Deconstruction, and Bosonic Gauge Theories
- Monopole Condensation and Confining Phase of N=1 Gauge Theories Via M Theory Fivebrane
- Exact Superpotentials from Matrix Models
- An Exact Elliptic Superpotential for N=1^* Deformations of Finite N=2 Gauge Theories
- Nonperturbative Superpotentials and Compactification to Three Dimensions
- Critical Points of Glueball Superpotentials and Equilibria of Integrable Systems
Cited by in corpus (12)
- An Introduction to Supersymmetric Gauge Theories and Matrix Models
- Nonperturbative Superpotentials and Compactification to Three Dimensions
- The N=1* Theories on R^{1+2} X S^1 with Twisted Boundary Conditions
- 3d Deconfinement, Product gauge group, Seiberg-Witten and New 3d dualities
- Challenges of Matrix Models
- The Off-shell M5-brane and Non-Perturbative Gauge Theory
- Developments of theory of effective prepotential from extended Seiberg-Witten system and matrix models
- The Whitham Deformation of the Dijkgraaf-Vafa Theory
- Classical Spin Chains and Exact Three-dimensional Superpotentials
- Vacua of N=1 Supersymmetric QCD from Spin Chains and Matrix Models
- Matrix Model and Stationary Problem in Toda Chain
- Factorization of Seiberg-Witten Curves with Fundamental Matter