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We present a concise description of the basic features of gravity-matter models based on the formalism of non-canonical spacetime volume-forms in its two versions: the method of non-Riemannian volume-forms (metric-independent covariant…

General Relativity and Quantum Cosmology · Physics 2019-10-15 David Benisty , Eduardo Guendelman , Alexander Kaganovich , Emil Nissimov , Svetlana Pacheva

We give an introduction to rigid supersymmetry, supergravity and superspace by considering a quantum mechanical model. We analyze the constraints in superspace in this simplified model, and compare the Hamiltonian and Lagrangian BRST…

High Energy Physics - Theory · Physics 2007-05-23 Peter van Nieuwenhuizen

The reduction of the dreibein formalism of 2+1 General Relativity to the holonomies is explicitly performed. We also show explicitly how to relate these holonomies to a geometry classically, and how to generate these holonomies from any…

General Relativity and Quantum Cosmology · Physics 2010-11-01 W. G. Unruh , Peter Newbury

In this paper we construct the $\mathcal N=6$ conformal supergravity in three dimensions from a set of Chern-Simons-like terms one for each of the graviton, gravitino, and R-symmetry gauge field and then couple this theory to the $\mathcal…

High Energy Physics - Theory · Physics 2014-11-20 Xiaoyong Chu , Bengt E. W. Nilsson

In this contribution, we present the geometric approach to supergravity. In the first part, we discuss in some detail the peculiarities of the approach and apply the formalism to the case of pure supergravity in four space-time dimensions.…

High Energy Physics - Theory · Physics 2024-12-04 Laura Andrianopoli , Riccardo D'Auria

It is proposed the generalized action functional for N=1 superparticle in D=3,4,6 and 10 space-time dimensions. The superfield geometric approach equations describing superparticle motion in terms of extrinsic geometry of the worldline…

High Energy Physics - Theory · Physics 2016-09-06 Igor A. Bandos , Alexei Yu. Nurmagambetov

Maximal and non-maximal supergravities in three spacetime dimensions allow for a large variety of semisimple and non-semisimple gauge groups, as well as complex gauge groups that have no analog in higher dimensions. In this contribution we…

High Energy Physics - Theory · Physics 2007-05-23 B. de Wit , H. Nicolai , H. Samtleben

This article, which is a review with substantial original material, is meant to offer a comprehensive description of the superfield representations of the BRST and anti-BRST algebras and their applications to some field-theoretic topics.…

High Energy Physics - Theory · Physics 2021-08-12 L. Bonora , R. P. Malik

The thesis divides into three parts. The first is devoted to a careful study of very convenient superspace conventions which are a basic tool for the second part. A theorem is formulated that gives a clear statement about when the signs of…

High Energy Physics - Theory · Physics 2009-03-12 Sebastian Guttenberg

We describe new $N$-extended 2D supergravities on a $(p+1)$-dimensional (bosonic) space. The fundamental objects are moving frame densities that equip each $(p+1)$-dimensional point with a 2D ``tangent space''. The theory is presented in a…

High Energy Physics - Theory · Physics 2009-10-31 H. Gustafsson , U. Lindstrom

Certain one-loop processes in eleven-dimensional supergravity compactified on T**2 determine exact, non-perturbative, terms in the effective action of type II string theories compactified on a circle. One example is the modular invariant…

High Energy Physics - Theory · Physics 2010-11-19 Michael B. Green , Michael Gutperle , Hwang-hyun Kwon

In this paper, we explore a new type of global symmetries$-$the fermionic higher-form symmetries. They are generated by topological operators with fermionic parameter, which act on fermionic extended objects. We present a set of field…

High Energy Physics - Theory · Physics 2023-10-10 Yi-Nan Wang , Yi Zhang

Non-abelian higher gauge theory has recently emerged as a generalization of standard gauge theory to higher dimensional (2-dimensional in the present context) connection forms, and as such, it has been successfully applied to the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 R. B. Mann , Eugeniu M. Popescu

We present a closed-form expression for the supersymmetric non-Abelian Chern-Simons action in conventional five-dimensional N=1 superspace. Our construction makes use of the superform formalism to generate supersymmetric invariants. Similar…

High Energy Physics - Theory · Physics 2014-02-26 Sergei M. Kuzenko , Joseph Novak

We present a ten-dimensional theory, named \beta-supergravity, that contains non-geometric fluxes and could uplift some four-dimensional gauged supergravities. Building on earlier work, we study here its NSNS sector, where Q- and R-fluxes…

High Energy Physics - Theory · Physics 2015-06-16 David Andriot , Andre Betz

We construct a supersymmetric extension of double field theory that realizes the ten-dimensional Majorana-Weyl local supersymmetry. In terms of a stringy differential geometry we proposed earlier, our action consists of five simple terms --…

High Energy Physics - Theory · Physics 2012-10-19 Imtak Jeon , Kanghoon Lee , Jeong-Hyuck Park

We study the general formulation of gauged supergravity in seven dimensions with sixteen supercharges keeping duality covariance by means of the embedding tensor formalism. We first classify all inequivalent duality orbits of consistent…

High Energy Physics - Theory · Physics 2015-06-04 Giuseppe Dibitetto , Jose J. Fernández-Melgarejo , Diego Marqués

We provide the geometric actions for most general N=1 supergravity in two spacetime dimensions. Our construction implies an extension to arbitrary N. This provides a supersymmetrization of any generalized dilaton gravity theory or of any…

High Energy Physics - Theory · Physics 2010-02-03 M. Ertl , W. Kummer , T. Strobl

(N=2)-superspace without torsion is described, which is equivalent to an 8-space with a discrete internal subspace. A number and a character of ties determine now an internal symmetry group, while in the supersymmetrical models this one is…

High Energy Physics - Theory · Physics 2007-05-23 Michael A. Ivanov

A geometric global formulation of the higher-order Lagrangian formalism for systems with finite number of degrees of freedom is provided. The formalism is applied to the study of systems with groups of Noetherian symmetries.

High Energy Physics - Theory · Physics 2007-05-23 Dan Radu Grigore