Supersymmetric U(N) Gauge Model and Partial Breaking of N=2 Supersymmetry

Abstract

We review the construction of the N=2 U(N) gauge model and the analysis of vacua of the model. On the vacua, N=2 supersymmetry is spontaneously broken to N=1, and the gauge symmetry is broken to a product gauge group \prod_{i=1}^n U(N_i). The masses of the supermultiplets appearing on the N=1 vacua are given. We provide a manifestly N=2 supersymmetric formulation of the U(N) gauge model coupled with N=2 hypermultiplets, and show that N=2 supersymmetry is partially broken down to N=1 spontaneously.

arXiv comment13 pages 1 figure, PTPTeX.cls, Talks given at ``Frontier of Quantum Physics''(YITP Kyoto Univ., Feb. 2005) and at ``Progress of Quantum Field Theory and String Theory'' (OCAMI, Feb. 2006)

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• N=2 Quiver Gauge Model and Partial Supersymmetry Breaking
• Metastable supersymmetry breaking in N=2 non-linear sigma-models
• On the equivalence of N=1 brane worlds and geometric singularities with flux
• On the dynamical origin of parameters in $\mathcal{N}=2$ Supersymmetry
• Deformation of Dijkgraaf-Vafa Relation via Spontaneously Broken N=2 Supersymmetry II
• Developments of theory of effective prepotential from extended Seiberg-Witten system and matrix models
• Partial Breaking of N=2 Supersymmetry and Decoupling Limit of Nambu-Goldstone Fermion in U(N) Gauge Model
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• Low Energy Processes Associated with Spontaneously Broken N=2 Supersymmetry
• Interpolation of partial and full supersymmetry breakings in $\mathcal{N}=2$ supergravity
• Effective superpotential and partial breaking of N=2 supersymmetry
• Behaviors of two supersymmetry breaking scales in $\mathcal{N}=2$ supergravity