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Related papers: Linearizing N = 2 Nonlinear Supersymmetry

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In quantum mechanics, supersymmetry (SUSY) posits an equivalence between two elementary degrees of freedom, bosons, and fermions defined by local rules. Here we apply it to find connections between bosonic and fermionic lattice models in…

Strongly Correlated Electrons · Physics 2024-12-16 Krishanu Roychowdhury , Jan Attig , Simon Trebst , Michael J. Lawler

The Abelian super Stueckelberg model (ASSM) in the Wess--Zumino (WZ) gauge is revisited, and the actual set of supersymmetric (SUSY) transformation is derived. In particular, we verified that the SUSY transformation of the super…

High Energy Physics - Theory · Physics 2026-01-28 M. A. L. Capri , D. R. Granado , I. F. Justo , L. S. S. Mendes

We construct a massive non-abelian N= 1 SYM theory on R^3. This is achieved by using a non-local gauge and Poincare invariant mass term for gluons due to Nair. The underlying supersymmetry algebra is shown to be a non-central extension of…

High Energy Physics - Theory · Physics 2013-05-29 Abhishek Agarwal

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

The Einstein-Hilbert-type action for nonlinear supersymmetric(NLSUSY) general relativity(GR) proposed as the fundamental action for nature is written down explicitly in terms of the fundamental fields, the graviton and the…

High Energy Physics - Theory · Physics 2007-05-23 Kazunari Shima , Motomu Tsuda

Two known 2-dim SUSY quantum mechanical constructions - the direct generalization of SUSY with first-order supercharges and Higher order SUSY with second order supercharges - are combined for a class of 2-dim quantum models, which {\it are…

High Energy Physics - Theory · Physics 2008-11-26 M. V. Ioffe , J. Mateos Guilarte , P. A. Valinevich

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…

High Energy Physics - Theory · Physics 2009-11-10 Takeo Araki , Katsushi Ito , Akihisa Ohtsuka

We discuss a closure of commutator algebras for general functionals in terms of Nambu-Goldstone fermions and their derivative terms under nonlinear supersymmetry (NLSUSY) both in flat spacetime and in curved spacetime. We point out that…

High Energy Physics - Theory · Physics 2016-09-01 Kazunari Shima , Motomu Tsuda

We attempt the linearization of N=1 SGM action describing the nonlinear supersymmetric gravitational interaction of superon(Nambu-Goldstone fermion). We find that 80+80 field contents may give the off-shell supermultiplet of the…

High Energy Physics - Theory · Physics 2007-05-23 K. Shima , M. Tsuda , M. Sawaguchi

We introduce and study a lattice fermion model in one dimension with explicit $\mathcal{N}=1$ supersymmetry (SUSY). The Hamiltonian of the model is defined by the square of a supercharge built from Majorana fermion operators. The model…

Strongly Correlated Electrons · Physics 2019-02-11 Noriaki Sannomiya , Hosho Katsura

The method of multidimensional SUSY Quantum Mechanics is applied to the investigation of supersymmetrical N-particle systems on a line for the case of separable center-of-mass motion. New decompositions of the superhamiltonian into…

Quantum Physics · Physics 2008-11-26 M. V. Ioffe , A. I. Neelov

Supersymmetrical intertwining relations of second order in the derivatives are investigated for the case of supercharges with deformed hyperbolic metric $g_{ik}=diag(1,-a^2)$. Several classes of particular solutions of these relations are…

High Energy Physics - Theory · Physics 2009-11-11 M. V. Ioffe , J. Negro , L. M. Nieto , D. N. Nishnianidze

We derive the master function governing the component action of the four-dimensional non-anticommutative (NAC) and fully N=2 supersymmetric gauge field theory with a non-simple gauge group U(2)=SU(2)xU(1). We use a Lorentz singlet…

High Energy Physics - Theory · Physics 2016-09-06 Sergei V. Ketov , Shin Sasaki

We develop a general setting for N=2 rigid supersymmetric field theories with gauged central charge in harmonic superspace. We consider those N=2 multiplets which have a finite number of off-shell components and exist off shell owing to a…

High Energy Physics - Theory · Physics 2009-10-31 N. Dragon , E. Ivanov , S. Kuzenko , E. Sokatchev , U. Theis

The spacetime symmetries of SGM action proposed as the gravitational coupling of N-G fermions are investigated. The commutators of new nonlinear supersymmetry (NL SUSY) transformations form a closed algebra, which reveals N-G fermion (NL…

High Energy Physics - Theory · Physics 2009-11-07 Kazunari Shima , Motomu Tsuda

In a (0,1) supersymmetric (SUSY) six-dimensional gauge theory, a gauge fermion gives rise to box anomalies. These anomalies are completely canceled by assuming a vector multiplet of (1,1) SUSY. With a T^2/Z_3 orbifold compactification of…

High Energy Physics - Phenomenology · Physics 2017-08-23 T. Watari , T. Yanagida

We study N=1 supersymmetric U(N) gauge theories coupled to an adjoint chiral field with superpotential. We consider the full supersymmetric moduli space of these theories obtained by adding all allowed chiral operators. These include…

High Energy Physics - Theory · Physics 2009-08-28 Mina Aganagic , Christopher Beem , Jihye Seo , Cumrun Vafa

Supersymmetry (SUSY) is a symmetry transforming bosons to fermions and vice versa. Indications of its existence have been extensively sought after in high-energy experiments. However, signatures of SUSY have yet to be detected. In this…

Strongly Correlated Electrons · Physics 2017-06-07 Eran Sagi , Raul A. Santos

A nonlinear vector supersymmetry for three-dimensional topological massive Yang-Mills is obtained by making use of a nonlinear but local and covariant redefinition of the gauge field.

High Energy Physics - Theory · Physics 2010-02-05 C. A. G. Sasaki , D. G. G. Sasaki , S. P. Sorella

We identify a cubic holomorphic constraint that subtends the total breaking of N=2 supersymmetry in a vector multiplet and exhibit its microscopic origin. The new constraint leaves behind, at low energies, a vector and the two goldstini, in…

High Energy Physics - Theory · Physics 2017-09-13 E. Dudas , S. Ferrara , A. Sagnotti