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Supersymmetric field theories on noncommutative spaces are constructed. We present two different representations of noncommutative space, but we can obtain supersymmetry algebla and supersymmetric Yang-Mills action independent of its…

High Energy Physics - Theory · Physics 2009-11-07 Yoshinobu Habara

Study of gauge symmetry is carried over the different interacting and noninteracting field theoretical models through a prescription based on lagrangian formulation. It is found that the prescription is capable of testing whether a given…

High Energy Physics - Theory · Physics 2014-04-17 Safia Yasmin , Anisur Rahaman

We present a systematic and 'from the ground up' analysis of the 'minimal coupling' type of gauging of Yang-Mills symmetries in (2,2)-supersymmetric 1+1-dimensional spacetime. Unlike in the familiar 3+1-dimensional N=1 supersymmetric case,…

High Energy Physics - Theory · Physics 2009-09-25 Raja Q. Almukahhal , Tristan Hubsch

In the first part of this paper I review the construction of the realistic free fermionic models, as well as current attempts to study aspects of these models in the nonperturbative framework of M- and F-theories. I discuss the recent…

High Energy Physics - Theory · Physics 2007-05-23 Alon E. Faraggi

In the four dimensional free fermionic formulation of the heterotic string, a semi-realistic $SU(4)\times SU(2)_L \times SU(2)_R$ model is proposed with three fermion generations in $(4,2,1)+(\bar 4,1,2)$ representations. The gauge symmetry…

High Energy Physics - Phenomenology · Physics 2009-10-28 G. K. Leontaris

Seiberg-Witten maps and a recently proposed construction of noncommutative Yang-Mills theories (with matter fields) for arbitrary gauge groups are reformulated so that their existence to all orders is manifest. The ambiguities of the…

High Energy Physics - Theory · Physics 2009-11-07 Glenn Barnich , Friedemann Brandt , Maxim Grigoriev

An explicit model of fiber bundle with local fibers being disinct copies of vector 3-space is introduced. They are endowed with frames which are used as local isotopic ones. The field local of isotopic frames is considered as gauge field…

dg-ga · Mathematics 2008-02-03 Z. Ya. Turakulov

Understanding the relationship which integrable (solvable) models, all of which possess very special symmetry properties, have with the generic non-integrable models that are used to describe real experiments, which do not have the symmetry…

Mathematical Physics · Physics 2012-06-03 B. M. McCoy , J-M. Maillard

We present a fermion model characterized by an anticommuting-parameter shift symmetry. The Hamiltonian formulation exhibits a combination of first-class and second-class constraints. We derive the well-known Dirac equation by fixing the…

High Energy Physics - Theory · Physics 2023-06-30 Mauricio Valenzuela

Considered are superparticle and superstring models invariant under supersymmetry in a target superspace and local extended worldsheet supersymmetry the latter replacing the fermionic $\kappa$--symmetry of the conventional Green--Schwarz…

High Energy Physics - Theory · Physics 2007-05-23 Dmitrij Sorokin

In this paper, we explore the algebraic and geometric structures that arise from a procedure we dub "gauging the gauge", which involves the promotion of a certain global, coordinate independent symmetry to a local one. By gauging the global…

High Energy Physics - Theory · Physics 2022-11-17 Hank Chen , Florian Girelli

In the Wess-Zumino gauge, supersymmetry transformations become non-linear and are usually incorporated together with BRS transformations in the form of Slavnov-Taylor identities, such that they appear at first sight to be even non-local.…

High Energy Physics - Theory · Physics 2016-02-17 Christian Rupp , Rainer Scharf , Klaus Sibold

Several simple asymptotically-free chiral gauge theories are studied. The only ``free parameters'' of our models are the choice of the gauge group and the matter Weyl fermion representations, and the relative magnitudes of the…

High Energy Physics - Theory · Physics 2026-05-12 Stefano Bolognesi , Kenichi Konishi , Matteo Orso

We study fermionic and bosonic systems coupled to a real or synthetic static gauge field that is quantized, so the field itself is a quantum degree of freedom and can exist in coherent superposition. A natural example is electrons on a…

Mesoscale and Nanoscale Physics · Physics 2025-10-21 Adel Ali , Alexey Belyanin

The main aim of this work is to present the interpretation of the Ising type models as a kind of field theory in the framework of noncommutative geometry. We present the method and construct sample models of field theory on discrete spaces…

High Energy Physics - Theory · Physics 2009-10-22 Andrzej Sitarz

We initiate the systematic construction of gauged matter-coupled supergravity theories in two dimensions. Subgroups of the affine global symmetry group of toroidally compactified supergravity can be gauged by coupling vector fields with…

High Energy Physics - Theory · Physics 2008-11-26 Henning Samtleben , Martin Weidner

A 4-dimensional heterotic string model of free fermionic construction is presented wherein mirror symmetry breaking between observable and hidden sector gauge groups occurs in spite of mirror symmetry between observable and hidden sector…

High Energy Physics - Phenomenology · Physics 2009-11-11 Ben Dundee , John Perkins , Gerald Cleaver

Most phenomenologically acceptable supersymmetric models imply breaking of supersymmetry in a separate sector of fields introduced just for this purpose. Supersymmetry breaking is transferred to the Standard Model due to a certain…

High Energy Physics - Phenomenology · Physics 2010-12-17 S. L. Dubovsky , D. S. Gorbunov , S. V. Troitsky

We investigate the gauge interaction induced by heavy fermions using both dimensional and lattice regularization. We study the condition under which heavy fermions induce a continuum gauge theory.

High Energy Physics - Lattice · Physics 2009-10-22 Anna Hasenfratz

The absence of fermion kinetic terms in supersymmetric-BF gauge theories is established. We do this by means of explicit off-shell (superspace) constructions. As part of our study we give the superspace constraints for D=3, N=4 super…

High Energy Physics - Theory · Physics 2009-10-28 R. Brooks , S. J. Gates
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