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The aim of this paper is to present the main constructions of the substructures of an almost groupoid and to discuss their basic properties. The definitions and properties concerning these new algebraic constructions extend to almost…

Group Theory · Mathematics 2026-02-06 Mihai Ivan

The unification of gauge couplings suggests that there is an underlying (supersymmetric) unification of the strong, electromagnetic and weak interactions. The prediction of the unification scale may be the first quantitative indication that…

High Energy Physics - Phenomenology · Physics 2011-07-19 D. Ghilencea , M. Lanzagorta , G. G. Ross

We present aspects of the component description of linearized Nordstr\" om Supergravity in eleven and ten dimensions. The presentation includes low order component fields in the supermultiplet, the supersymmetry variations of the scalar…

High Energy Physics - Theory · Physics 2019-09-04 S. James Gates, , Yangrui Hu , Hanzhi Jiang , S. -N. Hazel Mak

Using deformation theory based on BRST cohomology, a supergravity model is constructed which interpolates through a continuous deformation parameter between new minimal supergravity with an extra U(1) gauge multiplet and standard…

High Energy Physics - Theory · Physics 2007-05-23 Friedemann Brandt

We present a systematic classification of counterterms of four-dimensional supersymmetric field theories on curved space, obtained as the rigid limit of new minimal supergravity. These are supergravity invariants constructed using the field…

High Energy Physics - Theory · Physics 2015-06-23 Benjamin Assel , Davide Cassani , Dario Martelli

If supersymmetry turns out to be a symmetry of nature at low energies, the first order of business to measure the soft breaking parameters. But one will also want to understand the symmetry, and its breaking, more microscopically. Two…

High Energy Physics - Theory · Physics 2017-08-23 Michael Dine

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 derive the couplings of the 3-form supermultiplet to the general supergravity-matter-Yang-Mills system. Based on the methods of superspace geometry, we identify component fields, establish their supergravity transformations and construct…

High Energy Physics - Theory · Physics 2009-10-30 P. Binétruy , F. Pillon , G. Girardi , R. Grimm

We discuss the meaning of geometrical constructions associated to loop quantum gravity states on a graph. In particular, we discuss the "twisted geometries" and derive a simple relation between these and Regge geometries.

General Relativity and Quantum Cosmology · Physics 2014-11-21 Carlo Rovelli , Simone Speziale

We develop a new off-shell formulation for five-dimensional (5D) conformal supergravity obtained by gauging the 5D superconformal algebra in superspace. An important property of the conformal superspace introduced is that it reduces to the…

High Energy Physics - Theory · Physics 2015-02-20 Daniel Butter , Sergei M. Kuzenko , Joseph Novak , Gabriele Tartaglino-Mazzucchelli

This article contains an overview of some recent attempts at understanding supergravity and string duals of four dimensional gauge theories using the AdS/CFT correspondence. We discuss the general philosophy underlying the various ways to…

High Energy Physics - Theory · Physics 2008-11-26 F. Bigazzi , A. L. Cotrone , M. Petrini , A. Zaffaroni

The algebraic structure on the subspace of the quasi-primary vectors given by the projection of the (n) products of a conformal superalgebra is formulated. As an application the complete list of simple physical conformal superalgebras is…

Quantum Algebra · Mathematics 2007-05-23 Go Yamamoto

A fairly elementary introduction to supersymmetric field theories in general and the minimal supersymmetric Standard Model (MSSM) in particular is given. Topics covered include the cancellation of quadratic divergencies, the construction of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Manuel Drees

Emergence of fundamental forces from gauge symmetry is among our most profound insights about the physical universe. In nature, such symmetries remain hidden in the space of internal degrees of freedom of subatomic particles. Here we…

Quantum Gases · Physics 2019-12-19 Kunal K. Das , Miroslav Gajdacz

Inspired by the concept of complementarity, we present a illustrative model for the weak interactions with unbroken gauge symmetry and unbroken supersymmetry. The observable particles are bound states of some more fundamental particles.…

High Energy Physics - Theory · Physics 2009-10-31 X. Calmet

A new gauge theory of gravity is presented. The theory is constructed in a flat background spacetime and employs gauge fields to ensure that all relations between physical quantities are independent of the positions and orientations of the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Anthony Lasenby , Chris Doran , Stephen Gull

We make a case for the unique relevance of Cartan geometry for gauge theories of gravity and supergravity. We introduce our discussion by recapitulating historical threads, providing motivations. In a first part we review the geometry of…

Mathematical Physics · Physics 2024-12-10 J. François , L. Ravera

We show that the phase transition previously observed in dynamical triangulation models of quantum gravity can be understood as being due to the creation of a singular link. The transition between singular and non-singular geometries as the…

High Energy Physics - Lattice · Physics 2009-10-30 S. Catterall , R. Renken , J. Kogut

In this review article we study the Minimal Supersymmetric Electro-Weak theory (of leptons). The Lagrangian is constructed step by step in great detail, both in the superfield and component field formalism --- both on and off shell.…

High Energy Physics - Phenomenology · Physics 2008-02-03 I. Simonsen

We give a simple introduction to ordinary and conformal supergravity, and write their actions as squares of curvatures.

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