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Matrix models have wide applications in nuclear theory, condensed matter theory and quantum field theory. I discuss supersymmetric extensions of matrix models and their applications to branched polymers, the meander problem, and…

High Energy Physics - Theory · Physics 2007-05-23 Yu. Makeenko

We construct the duality-symmetric actions for a large class of six-dimensional models describing hierarchies of non-Abelian scalar, vector and tensor fields related to each other by first-order (self-)duality equations that follow from…

High Energy Physics - Theory · Physics 2013-08-09 Igor Bandos , Henning Samtleben , Dmitri Sorokin

The effective equation of motion that describes the different monomer alternation along the heteropolymer chain is proposed. On this basis the supersymmetry field scheme is built up to analyze memory and ergodicity breaking effects.

Statistical Mechanics · Physics 2009-10-31 Alexander I. Olemskoi

This paper addresses an issue essential to the study of hidden supersymmetries (meaning here ones that do not close on the Hamiltonian) for one-dimensional non-linear supersymmetric sigma models. The issue relates to ambiguities, due to…

High Energy Physics - Theory · Physics 2010-02-03 A. J. Macfarlane , A. J. Mountain

The supersymmetric quantum mechanics of a two-dimensional non-relativistic particle subject to external magnetic and electric fields is studied in a superfield formulation and with the typical non-minimal coupling of (2+1) dimensions. Both…

High Energy Physics - Theory · Physics 2009-11-10 Ricardo C. Paschoal , José A. Helayël-Neto , Leonardo P. G. de Assis

In this letter, we discuss a four-dimensional model with modulus fields which are responsible for supersymmetry breaking. Given non-trivial moduli dependence of the action, the model is found to give a proper description of…

High Energy Physics - Phenomenology · Physics 2009-01-07 Tatsuo Kobayashi , Nobuhito Maru , Koichi Yoshioka

We describe, on a few instructive examples, a systematic way of deducing the superfield equations of motion of superbranes in the approach of partial breaking of global supersymmetry (PBGS) from the nonlinear-realizations formalism. For…

High Energy Physics - Theory · Physics 2008-11-26 S. Bellucci , E. Ivanov , S. Krivonos

A supersymmetric theory with several scalar superfields generically has several domain wall type classical configurations which interpolate between various supersymmetric vacua of the scalar fields. Depending on the couplings, some of these…

High Energy Physics - Theory · Physics 2009-10-30 M. B. Voloshin

We review models of supersymmetric quantum mechanics that are important in the description of supermembranes and of Dirichlet particles, which play a role in the context of M-theory.

High Energy Physics - Theory · Physics 2009-10-30 Bernard de Wit

The Hilbert spaces of supersymmetric systems admit symmetries which are often related to the topology and geometry of the (target) field-space. Here, we study certain (2,2)-supersymmetric systems in 2-dimensional spacetime which are closely…

High Energy Physics - Theory · Physics 2009-10-31 Tristan Hubsch

Supersymmetric nonlinear sigma models are obtained from linear sigma models by imposing supersymmetric constraints. If we introduce auxiliary chiral and vector superfields, these constraints can be expressed by D-terms and F-terms depending…

High Energy Physics - Theory · Physics 2009-10-31 Kiyoshi Higashijima , Muneto Nitta

In this text we combine the notions of supergeometry and supersymmetry. We construct a special class of supermanifolds whose reduced manifolds are (pseudo) Riemannian manifolds. These supermanifolds allow us to treat vector fields on the…

Differential Geometry · Mathematics 2020-01-15 Frank Klinker

In this paper, we achieve some interesting results in the way to make sense how superparticles interact together and to ordinary particles by means of putting aside the dimensional constraints. This is the first step in the process of…

General Physics · Physics 2008-03-07 P. T. Tuyen , H. V. Vinh

In this paper we propose a superfield description for all Bianchi-type cosmological models. The action is invariant under world-line local $n=4$ supersymmetry with $SU(2)_{local}XSU(2)_{global}$ internal symmetry. Due to the invariance of…

High Energy Physics - Theory · Physics 2009-11-07 J. J. Rosales , V. I. Tkach , J. Torres

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

We consider the abelian vector-field models in the presence of the Wess-Zumino interaction with the pseudoscalar matter. The occurence of the dynamic breaking of Lorentz symmetry at classical and one-loop level is described for massless and…

High Energy Physics - Theory · Physics 2010-11-01 A. A. Andrianov , R. Soldati

Supersymmetric non-linear sigma-models are described by a field dependent Kaehler metric determining the kinetic terms. In general it is not guaranteed that this metric is always invertible. Our aim is to investigate the symmetry structure…

High Energy Physics - Theory · Physics 2011-10-11 T. S. Nyawelo , F. Riccioni , J. W. van Holten , S. Groot Nibbelink

It is shown how in 3+3 dimensions, it is possible to have a superparticle Lagrangian that has manifest supersymmetry both on the world line and in the target space.

High Energy Physics - Theory · Physics 2015-06-17 D. G. C. McKeon

In the extended (1 + 4) -dimensional space (T;X,Y,Z,S)-(time-space-interval) it is considered a model joining electromagnetic and gravitational fields. For the equations circumscribing these fields, the exact solutions appropriated to dot…

General Physics · Physics 2007-05-23 D. Yu. Tsipenyuk , V. A. Andreev

Using the coset approach (nonlinear realization) we construct component actions for a superparticle in three-dimensional spacetime with N=4 supersymmetry partially broken to N=2. These actions may contain an anyonic term and the square of…

High Energy Physics - Theory · Physics 2014-03-05 Nikolay Kozyrev , Sergey Krivonos , Olaf Lechtenfeld , Armen Nersessian
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