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In the framework of linearized non-minimal supergravity (20/20), we present the embedding of the $R + R^2$ model and we analyze its field spectrum. As usual, the auxiliary fields of the Einstein theory now become propagating, giving rise to…

High Energy Physics - Theory · Physics 2015-06-23 Fotis Farakos , Alex Kehagias , Konstantinos Koutrolikos

We compute part of the superfield in terms of the component fields of 11-dimensional on-shell supergravity by using `Gauge completion' in 2nd-order formalism. The result is the same as was derived recently in 1.5-order formalism by B. de…

High Energy Physics - Theory · Physics 2007-05-23 Yuuichirou Shibusa

We review some general and recent results on the characterization and construction of timelike supersymmetric solutions of 4-dimensional supergravity theories.

General Relativity and Quantum Cosmology · Physics 2015-05-20 Tomas Ortin

We construct matter-coupled N=2 supergravity in five dimensions, using the superconformal approach. For the matter sector we take an arbitrary number of vector-, tensor- and hyper-multiplets. By allowing off-diagonal vector-tensor couplings…

High Energy Physics - Theory · Physics 2009-11-10 Eric Bergshoeff , Sorin Cucu , Tim de Wit , Jos Gheerardyn , Stefan Vandoren , Antoine Van Proeyen

Supergravities in four and higher dimensions are reviewed. We discuss the action and its local symmetries of N=1 supergravity in four dimensions, possible types of spinors in various dimensions, field contents of supergravity multiplets,…

High Energy Physics - Theory · Physics 2007-05-23 Y. Tanii

We argue that eleven dimensional supergravity can be described by a non-linear realisation based on the group E_{11}. This requires a formulation of eleven dimensional supergravity in which the gravitational degrees of freedom are described…

High Energy Physics - Theory · Physics 2009-11-07 P. West

Following the approach developed by some of the authors in recent papers and using a matrix representation for the superfields, we formulate an exact supersymmetric theory with two supercharges on a one dimensional lattice. In the…

High Energy Physics - Lattice · Physics 2009-11-05 Sergio Arianos , Alessandro D'Adda , Alessandra Feo , Noboru Kawamoto , Jun Saito

We discuss the general form of quadratic (1,1) supergravity in two dimensions, and show that this theory is equivalent to two scalar supermultiplets coupled to non-trivial supergravity. It is demonstrated that the theory possesses stable…

High Energy Physics - Theory · Physics 2009-10-28 Ahmed Hindawi , Burt A. Ovrut , Daniel Waldram

In the $N=1$ superspace, AdS$_4$ supersymmetry is realized as the non-linear super coordinate transformations. The fermionic coordinates form a faithful non-linear representation of supersymmetry on their own. By introducing an auxiliary…

High Energy Physics - Theory · Physics 2025-03-25 Chen-Xu Han , Zhao-Long Wang , Yi Yan

We present here a detailed analysis of the local symmetries of supergravity in an arbitrary dimension D, both in the component and superfield approaches, using a field-space democracy point of view. As an application, we discuss briefly how…

High Energy Physics - Theory · Physics 2007-05-23 Igor A. Bandos , Jose A. de Azcarraga , Jose M. Izquierdo

The canonical structure of supergravity with a cosmological constant is analyzed in 2 + 1 dimensions using the Dirac constraint formalism. The first class constraints are used to find two Bosonic and one Fermionic gauge symmetries that…

General Relativity and Quantum Cosmology · Physics 2020-08-26 D. G. C. McKeon

The non-linear realisation of the semi-direct product of E11 with its vector representation leads to equation of motions for the fields graviton, three form, six form, dual graviton and the level four fields which correctly describe the…

High Energy Physics - Theory · Physics 2017-06-28 Peter West

We construct the non-linear realisation of the semi-direct product of the very extended algebra A1+++ and its vector representation. This theory has an infinite number of fields that depend on a spacetime with an infinite number of…

High Energy Physics - Theory · Physics 2020-06-10 Keith Glennon , Peter West

We present the locally supersymmetric formulation of unimodular gravity theory in D (1\le D \le 11) dimensions, namely supergravity theory with the metric tensor whose determinant is constrained to be unity. In such a formulation, the usual…

High Energy Physics - Theory · Physics 2009-11-07 Hitoshi Nishino , Subhash Rajpoot

A strong coupling limit of theories whose low-energy effective field theory is 5-dimensional N=8 supergravity is proposed in which the gravitational coupling becomes large. It is argued that, if this limit exists, it should be a…

High Energy Physics - Theory · Physics 2009-10-31 C. M. Hull

In terms of Dirac matrices the self-dual and anti-self-dual decomposition of a conformal supergravity is given and a self-dual conformal supergravity theory is developed as a connection dynamic theory in which the basic dynamic variabes…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Guoying Chee , Yanhua Jia

These lectures present an introduction to supergravity, and are intended for graduate students with a working knowledge of quantum field theory, including the elementary group theory needed for it, but no prior knowledge of general…

High Energy Physics - Theory · Physics 2012-01-24 Horatiu Nastase

We derive the N=1 supersymmetric extension for a class of weakly nonlocal four dimensional gravitational theories.The construction is explicitly done in the superspace and the tree-level perturbative unitarity is explicitly proved both in…

High Energy Physics - Theory · Physics 2016-05-13 Stefano Giaccari , Leonardo Modesto

In $D=4$, $\cal{N}=1$ conformal superspace, the Yang-Mills matter coupled supergravity system is constructed where the Yang-Mills gauge interaction is introduced by extending the superconformal group to include the K\"ahler isometry group…

High Energy Physics - Theory · Physics 2019-12-10 Taichiro Kugo , Ryo Yokokura , Koichi Yoshioka

We consider conformal defect solutions in four dimensional $N=2$ gauged supergravity. These solutions are constructed as a warped product of $AdS_2\times S^1$ over an interval with non-trivial electric and magnetic fields. We show for…

High Energy Physics - Theory · Physics 2019-05-01 Michael Gutperle , Matteo Vicino
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