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We examine the hypothesis that space-time is a product of a continuous four-dimensional manifold times a finite space. A new tensorial notation is developed to present the various constructs of noncommutative geometry. In particular, this…

High Energy Physics - Theory · Physics 2014-11-20 Ali H. Chamseddine , Alain Connes

We consider a noncommutative standard model with a minimal coupling scalar field and a dynamical deformation between the canonical momenta of its scale factor and scalar field, and a chameleon model with a non-minimally coupling scalar…

General Relativity and Quantum Cosmology · Physics 2018-05-25 Nasim Saba , Mehrdad Farhoudi

A new model of supersymmetry between bosons and fermions is proposed. Its representation space is spanned by states with PT symmetry and real energies but the inter-related partner Hamiltonians themselves remain complex and non-Hermitian.…

High Energy Physics - Theory · Physics 2009-10-31 M. Znojil , F. Cannata , B. Bagchi , R. Roychoudhury

The non-commutative Wess-Zumino model is used as a prototype for studying the low energy behaviour of a renormalizable non-commutative field theory. We start by deriving the potential mediating the fermion-fermion and boson-boson…

High Energy Physics - Theory · Physics 2009-11-07 H. O. Girotti , Marcelo Gomes , A. Y. Petrov , Victor O. Rivelles , A. J. da Silva

Fermion-boson stars are solutions of the gravitationally coupled Einstein-Klein-Gordon-Hydrodynamic equations system. By means of methods developed in previous works, we perform a stability analysis of fermion-boson stars that include a…

General Relativity and Quantum Cosmology · Physics 2020-10-21 Susana Valdez-Alvarado , Ricardo Becerril , L. Arturo Ureña-López

In the present paper we investigate noncommutativity of $D9$ and $D5$-brane world-volumes embedded in space-time of type IIB superstring theory. Boundary conditions, which preserve half of the initial supersymmetry, are treated as canonical…

High Energy Physics - Theory · Physics 2014-11-21 B. Nikolic , B. Sazdovic

We show that a dynamical supersymmetry can appear in a purely fermionic system. This ``supersymmetry without bosons" is constructed by application of a recently introduced boson-fermion Dyson mapping from a fermion space to a space…

Nuclear Theory · Physics 2009-10-30 P Navratil , H B Geyer , J Dobaczewski

In this manuscript we consider the transformations of the oscillators of the bosonic fields of the superstring in terms of the fermions oscillators and vice versa. We demand the exchange of the commutation and anti-commutation relations of…

High Energy Physics - Theory · Physics 2020-08-21 Davoud Kamani

We construct a (1,2) heterotic string with gauge symmetry and determine its particle spectrum. This theory has a local N=1 worldsheet supersymmetry for left movers and a local N=2 worldsheet supersymmetry for right movers and describes…

High Energy Physics - Theory · Physics 2009-10-30 David M. Pierce

We consider the supersymmetric field theories on the noncommutative $R^4$ using the superspace formalism on the commutative space. The terms depending on the parameter of the noncommutativity $\Theta$ are regarded as the interactions. In…

High Energy Physics - Theory · Physics 2009-10-31 Seiji Terashima

We revisit bosonization of non-relativistic fermions in one space dimension. Our motivation is the recent work on bubbling half-BPS geometries by Lin, Lunin and Maldacena (hep-th/0409174). After reviewing earlier work on exact bosonization…

High Energy Physics - Theory · Physics 2009-11-11 Avinash Dhar

In the present article, we derive the space-time action of the bosonic string in terms of geometrical quantities. First, we study the space-time geometry felt by probe bosonic string moving in antisymmetric and dilaton background fields. We…

High Energy Physics - Theory · Physics 2008-11-26 D. S. Popović , B. Sazdović

We solve the time evolution of the density matrix both for fermions and bosons in the presence of a homogeneous but time dependent external electric field. The number of particles produced by the external field, as well as their…

High Energy Physics - Theory · Physics 2009-10-28 Joakim Hallin , Per Liljenberg

We study free open fermionic strings on a non-commutative phase space. Modified super-Virasoro algebras in both Ramond and Neveu-Schwarz sectors acquire non-commutativity anomalies, and this noncommutativity also breaks Lorentz symmetry and…

High Energy Physics - Theory · Physics 2026-03-11 Mohamed Adib Abdelmoumene , Nadir Belaloui

Supersymmetric theories are reviewed in the context of field theories. The gauge hierarchy problem in attempting the unification of all fundamental interactions is the strongest motivation of modern development of supersymmetry. Starting…

High Energy Physics - Phenomenology · Physics 2007-05-23 N. Sakai

The aim of this work is to achieve a formulation of the bosonic string theory in which T-duality appears as a manifest symmetry. Two models exhibiting this property are discussed. The first is based on the stringy extension of the…

High Energy Physics - Theory · Physics 2015-03-20 Franco Pezzella

We study effects of noncommutativity on the phase space generated by a non-minimal scalar field which is conformally coupled to the background curvature in an isotropic and homogeneous FRW cosmology. These effects are considered in two…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Behrooz Malekolkalami , Mehrdad Farhoudi

We show that space-time evolution of one-dimensional fermionic systems is described by nonlinear equations of soliton theory. We identify a space-time dependence of a matrix element of fermionic systems related to the {\it Orthogonality…

Exactly Solvable and Integrable Systems · Physics 2007-05-23 Eldad Bettelheim , Alexander G. Abanov , Paul Wiegmann

In this work we consider the issue of localization of antisymmetric tensor fields of arbitrary rank in a D dimensional Space-time with a codimension two. A string-like defect is used to simulate the membrane. The localization of massless…

High Energy Physics - Theory · Physics 2015-05-19 G. Alencar , R. R. Landim , M. O. Tahim , R. N. Costa Filho , K. C. Mendes

This paper consists in analyzing an action that describes boson and fermion fields minimally coupled to the gravity and a common matter field. The self-interaction potentials of the fields are not chosen a priori but from the Noether…

General Relativity and Quantum Cosmology · Physics 2013-10-15 Rudinei C. de Souza , Gilberto M. Kremer