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In this work, we propose the N=2 and N=4 supersymmetric extensions realized off-shell of the Abelian gauge model with Chern-Simons Lorentz-breaking term. We start with the theory in 6 and 10 dimensions and reduce \`{a} la Scherk the…

High Energy Physics - Theory · Physics 2007-05-23 Wander G. Ney , J. A. Helayel-Neto , Wesley Spalenza

String theory, specifically type-II superstring theory, can be formulated in any ten-dimensional signature. To facilitate the study of supergravity and superstring theories in this setting, we present a uniform construction of supersymmetry…

High Energy Physics - Theory · Physics 2021-11-10 Louis Gall , Thomas Mohaupt

I build $N=1$ superstrings in $\Bbb R^4$ out of purely geometric bosonic data. The world-sheet is a bilayer of uniform thickness and the $2D$ supercharge vanishes in a natural way.

High Energy Physics - Theory · Physics 2015-06-26 Romain Attal

N-fold supersymmetry is an extension of the ordinary supersymmetry in one-dimensional quantum mechanics. One of its major property is quasi-solvability, which means that energy eigenvalues can be obtained for a portion of the spectra. We…

High Energy Physics - Theory · Physics 2009-11-07 Hideaki Aoyama , Noriko Nakayama , Masatoshi Sato , Toshiaki Tanaka

In the absence of NSNS three-form flux the bosonic string on a symmetric space is described by a symmetric space coset sigma-model. Such models are known to be classically integrable. We show that the integrability extends also to cases…

High Energy Physics - Theory · Physics 2015-11-16 Linus Wulff

When supersymmetry is spontaneously broken it will be generically non-linearly realized. A method to describe the non-linear realization of supersymmetry is with constrained superfields. We discuss the basic features of this description and…

High Energy Physics - Theory · Physics 2017-04-28 Fotis Farakos

Orientable open string theories containing both bosons and fermions without the GSO projection are expected to have the 10 dimensional N=2(A) space-time supersymmetry in a spontaneously broken phase. We study the low-energy theorem for the…

High Energy Physics - Theory · Physics 2009-10-31 Tabito Hara , Tamiaki Yoneya

Two-dimensional sigma-models describing superstrings propagating on manifolds of special holonomy are characterized by symmetries related to covariantly constant forms that these manifolds hold, which are generally non-linear and close in a…

High Energy Physics - Theory · Physics 2007-05-23 Vid Stojevic

Supersymmetry is considered in spaces of constant curvature (spherical, de Sitter and Anti-de Sitter spaces) of two, three and four dimensions.

High Energy Physics - Theory · Physics 2009-11-10 D. G. C. McKeon , T. N. Sherry

Recently a description of linearized 5D supergravity in 4D, N =1 superspace was presented. By analyzing the on-shell component Lagrangian, this description was proven to be Lorentz invariant in five dimensions. This paper describes a…

High Energy Physics - Theory · Physics 2012-08-27 S. James Gates, , William D. Linch , III , J. Phillips

We perform a generalization of the geometrical approach to describing extended objects for studying the doubly supersymmetric twistor--like formulation of super--p--branes. Some basic features of embedding world supersurface into target…

High Energy Physics - Theory · Physics 2011-07-19 I. Bandos , P. Pasti , D. Sorokin , M. Tonin , D. Volkov

The complete classification of the irreducible representations of the N-extended one-dimensional supersymmetry algebra linearly realized on a finite number of fields is presented. Off-shell invariant actions of one-dimensional…

High Energy Physics - Theory · Physics 2008-11-26 Francesco Toppan

We discuss a special ``symplectic'' class of N = 4 supersymmetric sigma models in (0+1) dimension with 5r bosonic and 4r complex fermionic degrees of freedom. These models can be described off shell by N = 2 superfields (so that only half…

High Energy Physics - Theory · Physics 2008-11-26 E. A. Ivanov , A. V. Smilga

We demonstrate that string consistency in four spacetime dimensions leads to a spectrum of string states which satisfies the supertrace constraints Str(M^0)=0 and Str(M^2)=\Lambda at tree level, where \Lambda is the one-loop string…

High Energy Physics - Theory · Physics 2009-10-28 Keith R. Dienes , Moshe Moshe , Robert C. Myers

We consider non-supersymmetric four-dimensional closed string theories constructed out of tensor products of N=2 minimal models. Generically such theories have closed string tachyons, but these may be removed either by choosing a…

High Energy Physics - Theory · Physics 2008-11-26 B. Gato-Rivera , A. N. Schellekens

The supercoherent states of the RNS string are constructed using the covariant quantization and analogously the light cone quantization formalisms. Keeping intact the original definition of coherent states of harmonic oscillators, we extend…

High Energy Physics - Theory · Physics 2021-10-13 Mir Hameeda , M. C. Rocca

A mechanism of supersymmetry breaking in two or four-dimensions is given, in which the breaking is related to the Fermat's last theorem. It is shown that supersymmetry is exact at some irrational number points in parameter space, while it…

High Energy Physics - Theory · Physics 2015-06-26 Hitoshi Nishino

We formulate a unimodular N=1, d=4 supergravity theory off shell. We see that the infinitesimal Grassmann parameters defining the unimodular supergravity transformations are constrained and show that the conmutator of two infinitesinal…

High Energy Physics - Theory · Physics 2020-02-19 Jesus Anero , Carmelo P. Martin , Raquel Santos-Garcia

This article elaborates on an off-shell formulation of D=4, N=1 supergravity whose auxiliary fields comprise an antisymmetric tensor field without gauge degrees of freedom. In particular, the relation to new minimal supergravity, a…

High Energy Physics - Theory · Physics 2021-04-12 Friedemann Brandt

We present the N=4 superspace constraints for the two-dimensional (2d) off-shell (4,4) supergravity with the superfield strengths expressed in terms of a (4,4) twisted (scalar) multiplet TM-I, as well as the corresponding component results,…

High Energy Physics - Theory · Physics 2009-10-30 Sergei V. Ketov , Christine Unkmeir , Sven-Olaf Moch