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We study localization of five-dimensional supersymmetric $U(1)$ gauge theory on $\mathbb{S}^3 \times \mathbb{R}_{\theta}^{2}$ where $\mathbb{R}_{\theta}^{2}$ is a noncommutative (NC) plane. The theory can be isomorphically mapped to…

高能物理 - 理论 · 物理学 2017-01-12 Bum-Hoon Lee , Daeho Ro , Hyun Seok Yang

In this paper, we prove a new non-renormalization theorem which arises from UV/IR mixing. This theorem and its corollaries are relevant for all four-dimensional tachyon-free closed string theories which can be realized from…

高能物理 - 理论 · 物理学 2024-07-17 Steven Abel , Keith R. Dienes , Luca A. Nutricati

Nowadays, noncommutative geometry is a growing domain of mathematics, which can appear as a promising framework for modern physics. Quantum field theories on "noncommutative spaces" are indeed much investigated, and suffer from a new type…

数学物理 · 物理学 2011-08-22 Axel de Goursac

In this letter, we reconsider the delicate issue of symmetry and supersymmetry breakings for gauge theories with gauge-field mixings. The purpose is to study generalyzed potentials in the presence of more than a single gauge potential. In…

高能物理 - 理论 · 物理学 2007-05-23 Cristine N. Ferreira , Helder Chavez , Jose A. Helayel-Neto

In formulating gauge field theories on noncommutative (NC) spaces it is suggested that particles carrying gauge invariant quantities should not be viewed as pointlike, but rather as extended objects whose sizes grow linearly with their…

高能物理 - 理论 · 物理学 2015-05-30 R. Horvat , A. Ilakovac , J. Trampetic , J. You

We study N=2 supersymmetric U(1) gauge theory in the noncommutative harmonic superspace with nonanticommutative fermionic coordinates. We examine the gauge transformation which preserves the Wess-Zumino gauge by harmonic expansions of…

高能物理 - 理论 · 物理学 2009-11-10 Takeo Araki , Katsushi Ito , Akihisa Ohtsuka

An effective U(1) gauge invariant theory is constructed for a non-commutative Schrodinger field coupled to a background U(1)_{\star} gauge field in 2+1-dimensions using first order Seiberg-Witten map. We show that this effective theory can…

高能物理 - 理论 · 物理学 2009-11-10 Biswajit Chakraborty , Sunandan Gangopadhyay , Anirban Saha

Supersymmetric gauge models with local horizontal symmetries are known to generate large flavor changing neutral current effects induced by supersymmetry breaking D-terms. We show how the presence of a U(1) gauge symmetry solves this…

高能物理 - 唯象学 · 物理学 2009-10-31 K. S. Babu , R. N. Mohapatra

The U(1) gauge theory on a space with Lie type noncommutativity is constructed. The construction is based on the group of translation in Fourier space, which in contrast to space itself is commutative. In analogy with lattice gauge theory,…

高能物理 - 理论 · 物理学 2023-04-18 M. Khorrami , A. H. Fatollahi , A. Shariati

We review gauge invariant $\mathcal N =1$ supersymmetric massive $U(1)$ gauge theory coupled to matter and Stuckelberg superfields. We focus on the leading order self energy and vertex correction to the matter field in the massless limit of…

高能物理 - 理论 · 物理学 2021-01-01 Radhika Vinze , T. R. Govindarajan , Anuradha Misra , P. Ramadevi

We investigate the running gauge couplings of U(N) noncommutative gauge theories with compact extra dimensions. Power law running of the trace-U(1) gauge coupling in the ultraviolet is communicated to the infrared by ultraviolet/infrared…

高能物理 - 唯象学 · 物理学 2009-11-11 Steven A. Abel , Joerg Jaeckel , Valentin V. Khoze , Andreas Ringwald

Commutative supersymmetric Yang-Mills is known to be renormalizable for ${\cal N} = 1, 2$, while finite for ${\cal N} = 4$. However, in the noncommutative version of the model (NCSQED$_4$) the UV/IR mechanism gives rise to infrared…

高能物理 - 理论 · 物理学 2009-11-10 A. F. Ferrari , H. O. Girotti , M. Gomes , A. Yu. Petrov , A. A. Ribeiro , V. O. Rivelles , A. J. da Silva

We study N=1 supersymmetric SU(N) gauge theories with an antisymmetric tensor and F flavors using the recent proposal of a-maximization by Intriligator and Wecht. This theory had previously been studied using the method of "deconfinement",…

高能物理 - 理论 · 物理学 2009-11-10 Csaba Csaki , Patrick Meade , John Terning

Parent actions for component fields are utilized to derive the dual of supersymmetric U(1) gauge theory in 4 dimensions. Generalization of the Seiberg-Witten map to the component fields of noncommutative supersymmetric U(1) gauge theory is…

高能物理 - 理论 · 物理学 2009-11-10 O. F. Dayi , K. Ulker , B. Yapiskan

We study the vacuum structure of the U(N) gauge model with partially broken N=2 supersymmetry. From the analysis of the classical vacua of this model, we point out that in addition to the ordinary N=1 supersymmetric vacua, there are vacua…

高能物理 - 理论 · 物理学 2010-05-28 Kazunobu Maruyoshi

In models inspired by non-commutative geometry, patterns of gauge symmetry breaking are analyzed, and SU(5) models are found to naturally favor a vacuum preserving SU(3) X SU(2) X U(1). A more realistic model is presented, and the…

高能物理 - 理论 · 物理学 2009-10-31 Koji Hashimoto

After a short introduction to the UV/IR mixing in non-commutative field theories we review the properties of scalar quasi-particles in non-commutative supersymmetric gauge theories at finite temperature. In particular we discuss the…

高能物理 - 理论 · 物理学 2007-05-23 Karl Landsteiner

A method developed by Polychronakos to study singular gauge transformations in 1+2 dimensional non-commutative Chern-Simons gauge theory is generalized from U(1) group to U(2) group. The method clarifies the singular behavior of…

高能物理 - 理论 · 物理学 2007-05-23 Yuko Kobashi , Akio Sugamoto

The existence of non-trivial IR and UV fixed points in gauge theories as a function of the number of fermion flavors and bare coupling is discussed in the light of recent work. It is pointed out that in fact only a small subset of potential…

高能物理 - 唯象学 · 物理学 2014-01-23 E. T. Tomboulis

In the absence of gauge fields, quantum field theories on the Groenewold-Moyal (GM) plane are invariant under a twisted action of the Poincare group if they are formulated following [1, 2, 3, 4, 5, 6]. In that formulation, such theories…

高能物理 - 理论 · 物理学 2008-11-26 A. P. Balachandran , A. Pinzul , A. R. Queiroz