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The purpose of this paper is to investigate a specific FRW model derived from the theory of N=1 supergravity with gauged supermatter. The supermatter content is restricted to a vector supermultiplet. This objective is particularly…

General Relativity and Quantum Cosmology · Physics 2007-05-23 P. V. Moniz

A specific Friedmann-Roberstson-Walker (FRW) model derived from the theory of N=1 supergravity with gauged supermatter is considered in this paper. The supermatter content is restricted to a vector supermultiplet. The corresponding Lorentz…

High Energy Physics - Theory · Physics 2009-10-30 P. V. Moniz

The general theory of N = 1 supergravity with supermatter is studied using a canonical approach. The supersymmetry and gauge constraint generators are found. The framework is applied to the study of a Friedmann minisuperspace model. We…

General Relativity and Quantum Cosmology · Physics 2011-04-15 A. D. Y. Cheng , P. D. D'Eath , P. R. L. V. Moniz

We study the quantization of some cosmological models within the theory of N=1 supergravity with a positive cosmological constant. We find, by imposing the supersymmetry and Lorentz constraints, that there are no physical states in the…

General Relativity and Quantum Cosmology · Physics 2011-04-15 A. D. Y. Cheng , P. D. D'Eath , P. R. L. V. Moniz

In this paper we formulate ${\cal N}=1$ supergravity as a constrained $BF$ theory with $OSp(4|1)$ gauge superalgebra. We derive the modified supergravity Lagrangian that, apart from the standard supergravity with negative cosmological…

High Energy Physics - Theory · Physics 2014-11-20 R. Durka , J. Kowalski-Glikman , M. Szczachor

A new kind of gauge theory is introduced, where the minimal coupling and corresponding covariant derivatives are defined in the space of functions pertaining to the functional Schroedinger picture of a given field theory. While, for…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Hans-Thomas Elze

The general form of N=2 supergravity coupled to an arbitrary number of vector multiplets and hypermultiplets, with a generic gauging of the scalar manifold isometries is given. This extends the results already available in the literature in…

High Energy Physics - Theory · Physics 2009-10-30 L. Andrianopoli , M. Bertolini , A. Ceresole , R. D'Auria , S. Ferrara , P. Fre'

The simplest examples of gauged supergravities are N=1 or N=2 theories with Fayet-Iliopoulos (FI) terms. FI terms in supergravity imply that the R-symmetry is gauged. Also the U(1) or SU(2) local symmetries of Kaehler and…

High Energy Physics - Theory · Physics 2015-06-26 Antoine Van Proeyen

The text is an essentially self-contained introduction to four-dimensional N=1 supergravity, including its couplings to super Yang-Mills and chiral matter multiplets, for readers with basic knowledge of standard gauge theories and general…

High Energy Physics - Theory · Physics 2015-06-26 Friedemann Brandt

We analyze the constraints which follow both on the geometry and on the gauge sector for a consistent supergravity reduction of a general matter-coupled N=2 supergravity theory in four dimensions. These constraints can be derived in an…

High Energy Physics - Theory · Physics 2009-11-07 L. Andrianopoli , R. D'Auria , S. Ferrara

The Lagrangean of $N=1$ supergravity is dimensionally reduced to one (time-like) dimension assuming spatial homogeneity of any Bianchi type within class A of the classification of Ellis and McCallum. The algebra of the supersymmetry…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Andras Csordas , Robert Graham

We study a minimal model of U(N) gauged N=2 supergravity with one hypermultiplet parametrizing SO(4,1)/SO(4) quaternionic manifold. Local N=2 supersymmetry is known to be spontaneously broken to N=1 in the Higgs phase of U(1)_{graviphoton}…

High Energy Physics - Theory · Physics 2008-11-26 Hiroshi Itoyama , Kazunobu Maruyoshi

Yes, there is. - A new kind of gauge theory is introduced, where the minimal coupling and corresponding covariant derivatives are defined in the space of functions pertaining to the functional Schroedinger picture of a given field theory.…

Quantum Physics · Physics 2008-11-26 Hans-Thomas Elze

We provide a pedagogical introduction to $N=1$ supergravity/supersymmetry in relation to particle physics. The various steps in the construction of a generic $N=1$ supergravity model are briefly described, and we focus on its low energy…

High Energy Physics - Theory · Physics 2022-09-28 Florian Domingo , Michel Rausch de Traubenberg

For N=1 supergravity in 3+1 dimensions we determine the graded algebra of the quantized Lorentz generators, supersymmetry generators, and diffeo-morphism and Hamiltonian generators and find that, at least formally, it closes in the chosen…

General Relativity and Quantum Cosmology · Physics 2010-01-08 Andras Csordas , Robert Graham

We formulate new gauge principles for n supersymmetric particles in a worldline formalism with N supersymmetries. The models provide realizations of the more general supersymmetries that are encountered in sectors of S-theory or Matrix…

High Energy Physics - Theory · Physics 2009-10-30 I. Bars , C. Deliduman

We clarifies the group theoretical structure of $N=1$ and $N=2$ two-form supergravity, which is classically equivalent to the Einstein supergravity. $N=1$ and $N=2$ two-form supergravity theories can be formulated as gauge theories. By…

High Energy Physics - Theory · Physics 2015-06-26 Shin'ichi Nojiri

We review the general gauged N=2 supergravity coupled to an arbitrary number of vector multiplets and hypermultiplets. We consider two different models where N=2 supersymmetry is broken to N=1 spontaneously, one has a U(1) vector multiplet…

High Energy Physics - Theory · Physics 2007-05-23 Kazunobu Maruyoshi

A gauge theory of quantum gravity is formulated, in which an internal, field dependent metric is introduced which non-linearly realizes the gauge fields on the non-compact group $SL(2,C)$, while linearly realizing them on $SU(2)$.…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. W. Moffat

A canonical formulation of the N=1 supergravity theory containing the topological Nieh-Yan term in its Lagrangian density is developed. The constraints are analysed without choosing any gauge. In the time gauge, the theory is shown to be…

High Energy Physics - Theory · Physics 2010-06-01 Sandipan Sengupta , Romesh K. Kaul
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