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A discussion of the number of degrees of freedom, and their dynamical properties, in higher derivative gravitational theories is presented. The complete non-linear sigma model for these degrees of freedom is exhibited using the method of…

High Energy Physics - Theory · Physics 2011-04-15 Ahmed Hindawi , Burt A. Ovrut , Daniel Waldram

Starting from the eleven dimensional E_{11} non-linear realisation of M-theory we compute all possible forms, that is objects with totally antisymmetrised indices, that occur in four dimensions and above as well as all the 1-forms and…

High Energy Physics - Theory · Physics 2009-04-17 Fabio Riccioni , Peter West

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

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 reformulate the Hamiltonian form of bosonic eleven dimensional supergravity in terms of an object that unifies the three-form and the metric. For the case of four spatial dimensions, the duality group is manifest and the metric and…

High Energy Physics - Theory · Physics 2011-06-20 David S. Berman , Malcolm J. Perry

In this paper, we use the superconformal approach to derive the higher derivative action for N = 3 Poincare supergravity in four space-time dimensions. We first study the coupling of N = 3 vector multiplets to conformal supergravity.…

High Energy Physics - Theory · Physics 2023-03-22 Subramanya Hegde , Madhu Mishra , Debangshu Mukherjee , Bindusar Sahoo

General $\mathcal{N}=(1,0)$ supergravity-matter systems in six dimensions may be described using one of the two fully fledged superspace formulations for conformal supergravity: (i) $\mathsf{SU}(2)$ superspace; and (ii) conformal…

High Energy Physics - Theory · Physics 2021-04-07 Sergei M. Kuzenko , Ulf Lindström , Emmanouil S. N. Raptakis , Gabriele Tartaglino-Mazzucchelli

The supersymmetry invariance of flat supergravity (i.e., supergravity in the absence of any internal scale in the Lagrangian) in four dimensions on a manifold with non-trivial boundary is explored. Using a geometric approach we find that…

High Energy Physics - Theory · Physics 2019-01-29 Patrick Concha , Lucrezia Ravera , Evelyn Rodríguez

A class of explicitly integrable models of 1+1 dimensional dilaton gravity coupled to scalar fields is described in some detail. The equations of motion of these models reduce to systems of the Liouville equations endowed with energy and…

High Energy Physics - Theory · Physics 2011-07-19 A. T. Filippov

We study an algebraic structure of magical supergravities in three dimensions. We show that if the commutation relations among the generators of the quasi-conformal group in the super-Ehlers decomposition are in a particular form, then one…

High Energy Physics - Theory · Physics 2018-04-10 Shin Fukuchi , Shun'ya Mizoguchi

Superconformal symmetry in six-dimensions is analyzed in terms of coordinate transformations on superspace. A superconformal Killing equation is derived and its solutions are identified in terms of supertranslations, dilations, Lorentz…

High Energy Physics - Theory · Physics 2016-09-06 Jeong-Hyuck Park

Working in the geometric approach, we construct the lagrangians of N=1 and N=2 pure supergravity in four dimensions with negative cosmological constant, in the presence of a non trivial boundary of space-time. We find that the supersymmetry…

High Energy Physics - Theory · Physics 2015-06-19 Laura Andrianopoli , Riccardo D'Auria

Conformal supergravity provides an effective off-shell formalism to study higher derivative actions. We show that the $D=4$, $\mathcal{N}=2$ theory admits equivariantly closed forms. These may be used to compute closed-form expressions for…

High Energy Physics - Theory · Physics 2026-04-13 Pietro Benetti Genolini , Florian Gaar , Jerome P. Gauntlett , James Sparks

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

This thesis analyses gauged supergravities in various dimensions and their possible origin from compactifications of string theory. In the effective description the fluxes appear in the theory as deformation parameters generating a…

High Energy Physics - Theory · Physics 2012-10-09 Giuseppe Dibitetto

We analyze constrained superfields in supergravity. We investigate the consistency and solve all known constraints, presenting a new class that may have interesting applications in the construction of inflationary models. We provide the…

High Energy Physics - Theory · Physics 2016-03-23 Gianguido Dall'Agata , Fotis Farakos

We discuss $N=2\to N=1$ reduction in four dimensional conformal supergravity. In particular, we keep the off-shell structure of supermultiplets (except hypermultiplets). As we will show, starting with (almost) off-shell conformal…

High Energy Physics - Theory · Physics 2019-06-26 Yusuke Yamada

Which theories have a higher dimensional origin in String/M-theory is a non trivial question and it is still far from being understood in the constrained scenario of maximal supergravities. After 35 years of progress in this direction we…

High Energy Physics - Theory · Physics 2015-12-18 Walter H. Baron

We construct the non-linear realisation of E11 and its first fundamental representation in eleven dimensions at low levels. The fields depend on the usual coordinates of space-time as well as two form and five form coordinates. We derive…

High Energy Physics - Theory · Physics 2015-06-03 Peter West

Motivated by recent efforts to encode 11D supergravity in 4D N=1 superfields, we introduce a general covariant framework relevant for describing any higher dimensional supergravity theory in external 4D N=1 superspace with n additional…

High Energy Physics - Theory · Physics 2021-02-05 Katrin Becker , Daniel Butter