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We present a new type of counterexample to the Nelson-Seiberg theorem. It is a generic R-symmetric Wess-Zumino model with nine chiral superfields, including one field of R-charge 2 and no R-charge 0 field. As in previous counterexamples,…

High Energy Physics - Theory · Physics 2022-11-03 James Brister , Zheng Sun

Several counterexample models to the Nelson-Seiberg theorem have been discovered in previous literature, with generic superpotentials respecting the R-symmetry and non-generic R-charge assignments for chiral fields. This work present a…

High Energy Physics - Theory · Physics 2021-10-28 Zheng Sun , Zipeng Tan , Lu Yang

In the context of supersymmetric Wess-Zumino models with an R symmetry, we find some simple conditions on the R-charge content of the theory that imply the presence or absence of supersymmetric and R-symmetric vacua. The main result of this…

High Energy Physics - Theory · Physics 2007-08-17 Sébastien Ray

The Nelson-Seiberg theorem dictates conditions for the spontaneous breaking of the supersymmetry in Wess-Zumino models with generic, possibly non-renormalizable, superpotential; the existence of the R-symmetry is necessary while the…

High Energy Physics - Theory · Physics 2023-07-12 Yu Nakayama , Takanobu Yoshida

We present a counterexample to the Nelson-Seiberg theorem and its extensions. The model has 4 chiral fields, including one R-charge 2 field and no R-charge 0 filed. Giving generic values of coefficients in the renormalizable superpotential,…

High Energy Physics - Theory · Physics 2021-07-29 Zheng Sun , Zipeng Tan , Lu Yang

The Nelson-Seiberg theorem and its extensions relate supersymmetry breaking and R-symmetries in Wess-Zumino models. But their applicability may be limited by previously found non-generic counterexamples. Constructing a dataset of…

High Energy Physics - Theory · Physics 2022-07-29 Zheng Sun

In this note we elaborate on a recent counter-example to the Nelson-Seiberg theorem and to its generalizations. We provide sufficient conditions for the existence of such counter-examples, finding new ones. We claim that these…

High Energy Physics - Theory · Physics 2020-05-06 Antonio Amariti , Dario Sauro

The well-accepted Nelson-Seiberg theorem relates R-symmetries to supersymmetry (SUSY) breaking vacua, and provides a guideline for SUSY model building which is the most promising physics beyond the Standard Model. In the case of Wess-Zumino…

High Energy Physics - Theory · Physics 2014-01-03 Zhaofeng Kang , Tianjun Li , Zheng Sun

The Nelson-Seiberg theorem relates R-symmetries to F-term supersymmetry breaking, and provides a guiding rule for new physics model building beyond the Standard Model. A revision of the theorem gives a necessary and sufficient condition to…

High Energy Physics - Theory · Physics 2020-08-19 Zhengyi Li , Zheng Sun

This work makes an exhaustive search for generic renormalizable R-symmetric Wess-Zumino models with up to 5 chiral fields, and checks the consistency of their vacuum solutions with predictions from the Nelson-Seiberg theorem and its…

High Energy Physics - Theory · Physics 2024-01-18 James Brister , Shihao Kou , Zhengyi Li , Longjie Ran , Zheng Sun

We study non-relativistic supersymmetric field theories in diverse dimensions. The theories consist of scalars and fermions and possess two, four or eight real supercharges. We analyze their spontaneous supersymmetry breaking structure and…

High Energy Physics - Theory · Physics 2017-08-02 Adiel Meyer , Yaron Oz , Avia Raviv-Moshe

We analyze several aspects of R-symmetry and supersymmetry breaking in generalized O'Raifeartaigh models with non-canonical Kahler potential. Some conditions on the Kahler potential are derived in order for the non-supersymmetric vacua to…

High Energy Physics - Theory · Physics 2008-11-26 L. G. Aldrovandi , D. Marques

We study N=1 global and local supersymmetric theories with a continuous global $U(1)_R$ symmetry as models of dynamical supersymmetry (SUSY) breaking. We introduce explicit R-symmetry breaking terms into such models, in particular a…

High Energy Physics - Theory · Physics 2009-06-10 Hiroyuki Abe , Tatsuo Kobayashi , Yuji Omura

We point out a connection between R symmetry and \susy\ breaking. We show that the existence of an R symmetry is a necessary condition for \susy\ breaking and a spontaneously broken R symmetry is a sufficient condition provided two…

High Energy Physics - Phenomenology · Physics 2009-09-15 Ann E. Nelson , Nathan Seiberg

It is known in previous literature that if a Wess-Zumino model with an R-symmetry gives a supersymmetric vacuum, the superpotential vanishes at the vacuum. In this work, we establish a formal notion of genericity, and show that if the…

High Energy Physics - Theory · Physics 2022-01-03 James Brister , Zheng Sun , Greg Yang

Models of spontaneous supersymmetry breaking generically have an R-symmetry, which is problematic for obtaining gaugino masses and avoiding light R-axions. The situation is improved in models of metastable supersymmetry breaking, which…

High Energy Physics - Theory · Physics 2009-09-15 Kenneth Intriligator , Nathan Seiberg , David Shih

We propose a novel mechanism of spontaneous supersymmetry breaking which relies upon an ubiquitous feature of Quantum Field Theory, vacuum condensates. Such condensates play a crucial r\^{o}le in many phenomena. Examples include Unruh…

High Energy Physics - Theory · Physics 2015-06-11 Antonio Capolupo , Marco Di Mauro

We investigate non-Abelian R-symmetries in $\mathcal{N}=1$ supersymmetric theory, where fields may transform under the R-symmetry in representations with dimension higher than one. While a continuous non-Abelian R-symmetry can always be…

High Energy Physics - Theory · Physics 2024-03-12 James Brister , Longjie Ran , Zheng Sun

We consider supersymmetric sigma models on the Kahler target spaces, with twisted mass. The Kahler spaces are assumed to have holomorphic Killing vectors. Introduction of a superpotential of a special type is known to be consistent with N=2…

High Energy Physics - Theory · Physics 2010-12-03 A. Losev , M. Shifman

We study spontaneous supersymmetry breaking in inhomogeneous extensions of ${\cal N}=1$ supersymmetric field theory models in 4-dimensions. The ${\cal N}=1$ Abelian Higgs model with the inhomogeneous mass parameter and the FI coefficient…

High Energy Physics - Theory · Physics 2023-10-10 Yoonbai Kim , O-Kab Kwon , D. D. Tolla
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