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We use a description based on differential forms to systematically explore the space of scalar-tensor theories of gravity. Within this formalism, we propose a basis for the scalar sector at the lowest order in derivatives of the field and…

High Energy Physics - Theory · Physics 2016-07-07 Jose María Ezquiaga , Juan García-Bellido , Miguel Zumalacárregui

We construct exceptional field theory for the duality group SL(3)$\times$SL(2). The theory is defined on a space with 8 `external' coordinates and 6 `internal' coordinates in the $(3,2)$ fundamental representation, leading to a…

High Energy Physics - Theory · Physics 2015-06-23 Olaf Hohm , Yi-Nan Wang

We construct the tensor hierarchy of generic, bosonic, 8-dimensional field theories. We first study the form of the most general 8-dimensional bosonic theory with Abelian gauge symmetries only and no massive deformations. This study…

High Energy Physics - Theory · Physics 2019-03-12 Oscar Lasso Andino , Tomas Ortin

We describe special supersymmetric gauge theories in three, five, seven and nine dimensions, whose compactification on two-, four-, six- and eight-folds produces a supersymmetric quantum mechanics on moduli spaces of holomorphic bundles…

High Energy Physics - Theory · Physics 2009-10-30 L. Baulieu , A. Losev , N. Nekrasov

We construct the so far unknown Lagrangian of D=6, N=2 F(4) Supergravity coupled to an arbitrary number of vector multiplets whose scalars span the coset manifold SO(4,n)/{SO(4) x SO(n)}. This is done first in the ungauged case and then…

High Energy Physics - Theory · Physics 2009-11-07 Laura Andrianopoli , Riccardo D'Auria , Silvia Vaula`

The perspective that gravity may govern the unification of all elementary forces calls for extending the gauge-gravity symmetry $SL(2,C)$ to the broader local symmetry $SL(2N,C)$, where $N$ reflects the internal $SU(N)$ subgroup. This…

High Energy Physics - Theory · Physics 2025-10-01 J. L. Chkareuli

We consider the embedding theory, the approach to gravity proposed by Regge and Teitelboim, in which 4D space-time is treated as a surface in high-dimensional flat ambient space. In its general form, which does not contain artificially…

General Relativity and Quantum Cosmology · Physics 2017-05-23 S. A. Paston , E. N. Semenova , V. A. Franke , A. A. Sheykin

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

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 paper we reconsider, for N=8 supergravity, the problem of gauging the most general electric subgroup. We show that admissible theories are fully characterized by a single algebraic equation to be satisfied by the embedding of the…

High Energy Physics - Theory · Physics 2009-10-31 F. Cordaro , P. Fre' , L. Gualtieri , P. Termonia , M. Trigiante

A universal model for D=4 spinning particle is constructed with the configuration space chosen as ${\bf R}^{3,1}\times S^2$, where the sphere corresponds to the spinning degrees of freedom. The Lagrangian includes all the possible…

High Energy Physics - Theory · Physics 2008-11-26 S. L. Lyakhovich , A. Yu. Segal , A. A. Sharapov

We study supersymmetric solutions within seven-dimensional $N=2$ gauged supergravity coupled to three vector multiplets in seven dimensions. The gauged supergravity contains six vector fields that gauge the $SO(4)\sim SO(3)\times SO(3)$…

High Energy Physics - Theory · Physics 2018-10-17 Parinya Karndumri , Patharadanai Nuchino

In this paper we construct the supersymmetric tensor hierarchy of N=1, d=4 supergravity. We find some differences with the general bosonic construction of 4-dimensional gauged supergravities. The global symmetry group of N=1,d=4…

High Energy Physics - Theory · Physics 2009-07-22 Jelle Hartong , Mechthild Huebscher , Tomas Ortin

We consider the standard gauge theory of Poincar\'{e} group, realizing as a subgroup of $GL(5. R)$. The main problem of this theory was appearing of the fields connected with non-Lorentz symmetries, whose physical sense was unclear. In this…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Merab Gogberashvili

We present a systematic account of supergravity theories in which the global scaling symmetry is gauged. This generalizes the standard gaugings of non-abelian off-shell symmetries. A particular feature of these theories is an additional…

High Energy Physics - Theory · Physics 2009-05-26 Arnaud Le Diffon , Henning Samtleben

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 2008-02-03 Ahmed Hindawi , Burt A. Ovrut , Daniel Waldram

We perform a global analysis of the space of consistent 6D quantum gravity theories with N = 1 supersymmetry, including models with multiple tensor multiplets. We prove that for theories with fewer than T = 9 tensor multiplets, a finite…

High Energy Physics - Theory · Physics 2010-11-30 Vijay Kumar , David R. Morrison , Washington Taylor

We develop a four-dimensional gauge-gravity unification based on the $% SL(2N,C)$ gauge theory taken in a universal Yang--Mills type setting. The accompanying tetrads are promoted to dynamical fields whose length, when projected onto the…

High Energy Physics - Theory · Physics 2026-03-20 J. L. Chkareuli

We study the Scherk-Schwarz reduction of D=11 supergravity with background fluxes in the context of a recently developed framework pertaining to D=11 supergravity. We derive the embedding tensor of the associated four-dimensional maximal…

High Energy Physics - Theory · Physics 2014-02-26 Hadi Godazgar , Mahdi Godazgar , Hermann Nicolai

We give the supersymmetric extension of exceptional field theory for E$_{7(7)}$, which is based on a $(4+56)$-dimensional generalized spacetime subject to a covariant constraint. The fermions are tensors under the local Lorentz group ${\rm…

High Energy Physics - Theory · Physics 2015-06-19 Hadi Godazgar , Mahdi Godazgar , Olaf Hohm , Hermann Nicolai , Henning Samtleben