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We present some general remarks on supersymmetric extensions of fermion-scalar and three-fermion preonic models with an assumption of supersymmetry is realized at preonic level. The motivation and the requirement of this assumption are…

High Energy Physics - Phenomenology · Physics 2017-08-08 B. B. Oner , S. Sultansoy

A supersymmetric $D = 1, N =1$ model with a Grassmann-odd Lagrangian is proposed which, in contrast to the model with an even Lagrangian, contains not only a kinetic term but also an interaction term for the coordinates entering into one…

High Energy Physics - Theory · Physics 2009-11-07 D. V. Soroka , V. A. Soroka , J. Wess

We show that a quantum-mechanical N=2 supersymmetry is hidden in 4d mass spectrum of any gauge invariant theories with extra dimensions. The N=2 supercharges are explicitly constructed in terms of differential forms. The analysis can be…

High Energy Physics - Theory · Physics 2009-11-11 C. S. Lim , Tomoaki Nagasawa , Makoto Sakamoto , Hidenori Sonoda

In the minimal supersymmetric standard model, the existence of R-parity is not required for the internal consistency of the theory and might therefore be regarded as ad hoc. I catalog some simple conditions which are sufficient to guarantee…

High Energy Physics - Phenomenology · Physics 2007-05-23 Stephen P. Martin

Lorentz-violating extensions of the Wess-Zumino model have been formulated in superspace. The models respect a supersymmetry algebra and can be understood as arising from suitably modified superspace transformations.

High Energy Physics - Phenomenology · Physics 2017-08-23 M. S. Berger

In this thesis we study classical aspects of superconformal field theory via symmetry principles. Specifically, by employing the powerful setup of conformal superspace, we obtain a plethora of new results in the fields of geometric and…

High Energy Physics - Theory · Physics 2024-04-22 Emmanouil S. N. Raptakis

We describe surfaces in R^{N^2-1} generated by the holomorphic solutions of the supersymmetric CP^{N-1} model. We show that these surfaces are described by the fundamental projector constructed out of the solutions of this model and that in…

Mathematical Physics · Physics 2009-11-11 V. Hussin , W. J. Zakrzewski

We build a supersymmetric version with $SU(3)_C\otimes SU(2)_L\otimes U(1)_{Y^\prime}\otimes U(1)_{B-L}$ gauge symmetry, where $Y^\prime$ is a new charge and $B$ and $L$ are the usual baryonic and leptonic numbers. The model has three…

High Energy Physics - Phenomenology · Physics 2017-06-14 J. C. Montero , V. Pleitez , M. C. Rodriguez , B. L. Sánchez-Vega

Integrability of N=1 supersymmetric Ruijsenaars-Schneider three-body models based upon the potentials W(x)=2/x, W(x)=2/sin(x), and W(x)=2/sinh(x) is proven. The problem of constructing an algebraically resolvable set of Grassmann-odd…

Exactly Solvable and Integrable Systems · Physics 2024-04-23 Anton Galajinsky

A renormalizable rigid supersymmetry for the four dimensional antisymmetric tensor field model in a curved space-time background is constructed. A closed algebra between the BRS and the supersymmetry operators is only realizable if the…

High Energy Physics - Theory · Physics 2009-10-30 U. Feichtinger , O. Moritsch , J. Rant , M. Schweda , H. Zerrouki

We study grand unified models in the five-dimensional space-time where the extra dimension is compactified on $S^1/Z_2$. The spontaneous breaking of unified gauge symmetries is achieved via vacuum expectation values of the extra-dimensional…

High Energy Physics - Phenomenology · Physics 2017-06-28 Kentaro Kojima , Kazunori Takenaga , Toshifumi Yamashita

In these introductory lectures, we review the theoretical tools used in constructing supersymmetric field theories and their application to physical models. We first introduce the technology of two-component spinors, which is convenient for…

High Energy Physics - Phenomenology · Physics 2022-05-20 Howard E. Haber , Laurel Stephenson Haskins

We demonstrate that the supersymmetry is dynamically broken in the four-dimensional SU(N) gauge theory coupled to a strongly-coupled superconformal theory T_N. This is a direct generalization of the model of supersymmetry breaking on…

High Energy Physics - Theory · Physics 2013-11-13 Kazunobu Maruyoshi , Yuji Tachikawa , Wenbin Yan , Kazuya Yonekura

N=1, D=4 Superstring possessing $SO(6)\otimes SO(5)$ symmetry action and with the same gauge symmetry obtained from zero mass spectrum of vector meson as well, is constructed from the bosonic string in twenty six dimensions. Without…

High Energy Physics - Theory · Physics 2007-05-23 B. B. Deo

In this paper, a supersymmetric extension of a system of hydrodynamic type equations involving Riemann invariants is formulated in terms of a superspace and superfield formalism. The symmetry properties of both the classical and…

Mathematical Physics · Physics 2008-11-26 A. M. Grundland , A. J. Hariton

We describe a class of supersymmetric unified models with the following properties: i) the full breaking of the gauge group is achieved by Higgs fields in the fundamental representation; ii) the correct unification of the strong and…

High Energy Physics - Phenomenology · Physics 2016-09-01 R. Barbieri , G. Dvali , A. Strumia

We revisit supersymmetric nonlinear sigma models on the target manifold $CP^{N-1}$ and $SO(N)/SO(N-2)\times U(1)$ in four dimensions. These models are formulated as gauged linear models, but it is indicated that the Wess-Zumino term should…

High Energy Physics - Theory · Physics 2020-09-16 Aya Kondo , Tomohiko Takahashi

The model of the supersymmetrical ball in the supersymmetrical standard model with additional global U(1) fermion symmetry is presented. We show that the supersymmetry breaking scale ( R-parity ), the global U(1) fermion symmetry scale and…

Astrophysics · Physics 2009-10-22 R. Manka , I. Bednarek

By dimensional reduction of a massive supersymmetric B$\wedge $F theory, a manifestly N=1 supersymmetric completion of a massive antisymmetric tensor gauge theory is constructed in (2+1) dimensions. In the N=1-D=3 superspace, a new…

High Energy Physics - Theory · Physics 2014-11-18 M. A. M. Gomes , R. R. Landim , C. A. S. Almeida

We construct SU($N$) super Yang-Mills theories with extended supersymmetry on hypercubic lattices of various dimensions keeping one or two supercharges exactly. It is based on topological field theory formulation for the super Yang-Mills…

High Energy Physics - Lattice · Physics 2009-11-10 Fumihiko Sugino