arXiv subjects

Kazuhito Fujiwara

Publications and source records attributed to Kazuhito Fujiwara.

7 recordsLinked to original sources

arXiv2007

Partial Breaking of N=2 Supersymmetry and Decoupling Limit of Nambu-Goldstone Fermion in U(N) Gauge Model

We study the N=1 U(N) gauge model obtained by spontaneous breaking of N=2 supersymmetry. The Fayet-Iliopoulos term included in the N=2 action does not appear in the action on the N=1 vacuum and the superpotential is modified to break discrete R symmetry. We take a limit in which the Kahler metric becomes flat and the superpotential preserves non-trivial form. The Nambu-Goldstone fermion is decoupled from other fields but the resulting action is still N=1 supersymmetric. It shows the origin of the fermionic shift symmetry in N=1 U(N) gauge theory.

hep-th↗

arXiv2006

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

We briefly review the properties of the N=2 U(N) gauge model with/without matters. On the vacua, N=2 supersymmetry and the gauge symmetry are spontaneously broken to N=1 and a product gauge group, respectively. The masses of the supermultiplets appearing on the N=1 vacua are given. We also discuss the relation to the matrix model.

hep-th↗

arXiv2006

Partial Supersymmetry Breaking and N=2 U(N_c) Gauge Model with Hypermultiplets in Harmonic Superspace

We provide a manifestly N=2 supersymmetric formulation of the N=2 U(N_c) gauge model constructed in terms of N=1 superfields in hep-th/0409060. The model is composed of N=2 vector multiplets in harmonic superspace and can be viewed as the N=2 U(N_c) Yang-Mills effective action equipped with the electric and magnetic Fayet-Iliopoulos terms. We generalize this gauge model to an N=2 U(N_c) QCD model by introducing N=2 hypermultiplets in harmonic superspace which include both the fundamental representation of U(N_c) and the adjoint representation of U(N_c). The effect of the magnetic Fayet-Iliopoulos term is to shift the auxiliary field by an imaginary constant. Examining vacua of the model, we show that N=2 supersymmetry is spontaneously broken down to N=1.

hep-th↗

arXiv2006

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

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.

hep-th↗

arXiv2005

Partial Breaking of N=2 Supersymmetry and of Gauge Symmetry in the U(N) Gauge Model

We explore vacua of the U(N) gauge model with N=2 supersymmetry recently constructed in hep-th/0409060. In addition to the vacuum previously found with unbroken U(N) gauge symmetry in which N=2 supersymmetry is partially broken to N=1, we find cases in which the gauge symmetry is broken to a product gauge group \prod_{i=1}^n U(N_i). The N=1 vacua are selected by the requirement of a positive definite Kahler metric. We obtain the masses of the supermultiplets appearing on the N=1 vacua.

hep-th↗

arXiv2005

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

Guided by the gauging of U(N) isometry associated with the special Kahler geometry, and the discrete R symmetry, we construct the N=2 supersymmetric action of a U(N) invariant nonabelian gauge model in which rigid N=2 supersymmetry is spontaneously broken to N=1. This generalizes the abelian model considered by Antoniadis, Partouche and Taylor. We shed light on complexity of the supercurrents of our model associated with a broken N=2 supermultiplet of currents, and discuss the spontaneously broken supersymmetry as an approximate fermionic shift symmetry.

hep-th↗

arXiv2004

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

We briefly review a construction of N=2 supersymmetric U(N) gauge model in which rigid N=2 supersymmetry is spontaneously broken to N=1. This model generalizes the abelian model considered by Antoniadis, Patouche and Taylor. We discuss the conditions on the vacua of the model with partial supersymmetry breaking.

hep-th↗