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We consider the conformal group of a space of dim n=p+q, with SO(p,q) metric. The quotient of this group by its homogeneous Weyl subgroup gives a principal fiber bundle with 2n-dim base manifold and Weyl fibers. The Cartan generalization to…

General Relativity and Quantum Cosmology · Physics 2019-05-03 James T Wheeler

The existence of two metrics in massive gravity theories in principle allows solutions where there are singularities in new scalar invariants jointly constructed from them. These configurations occur when the two metrics differ…

High Energy Physics - Theory · Physics 2014-01-15 Pierre Gratia , Wayne Hu , Mark Wyman

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

A general covariant quantization of superparticle, Green-Schwarz superstring and a supermembrane with manifest supersymmetry and duality symmetry is proposed. This quantization provides a natural quantum mechanical description of curved…

High Energy Physics - Theory · Physics 2016-08-24 Renata Kallosh

Recently the authors have introduced a new gauged supergravity theory with a positive definite potential in D=6, obtained through a generalised Kaluza-Klein reduction from D=7. Of particular interest is the fact that this theory admits…

High Energy Physics - Theory · Physics 2009-10-07 J. Kerimo , James. T. Liu , H. Lu , C. N. Pope

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

We give a gentle introduction to the global geometric formulation of the bosonic sector of four-dimensional supergravity on an oriented four-manifold $M$ of arbitrary topology, providing a geometric characterization of its U-duality group.…

Differential Geometry · Mathematics 2021-07-02 C. I. Lazaroiu , C. S. Shahbazi

We obtain a three-parameter family of massive N=1 supergravities in three dimensions from the 3-sphere reduction of an off-shell N=(1,0) six-dimensional Poincare supergravity that includes a curvature squared invariant. The…

High Energy Physics - Theory · Physics 2014-11-21 H. Lu , C. N. Pope , E. Sezgin

Type II supergravity on backgrounds admitting SU(3) x SU(3) structure and general fluxes is considered. Using the generalized geometry formalism, we study dimensional reductions leading to N=2 gauged supergravity in four dimensions,…

High Energy Physics - Theory · Physics 2009-12-04 Davide Cassani

We derive both BPS and non-BPS first-order flow equations for magnetically charged black strings in five-dimensional N=2 abelian gauged supergravity, using the Hamilton-Jacobi formalism. This is first done for the coupling to vector…

High Energy Physics - Theory · Physics 2017-03-08 Dietmar Klemm , Nicolò Petri , Marco Rabbiosi

The four dimensional gauged supergravities descending from non-geometric string compactifications involve a wide class of flux objects which are needed to make the theory invariant under duality transformations at the effective level.…

High Energy Physics - Theory · Physics 2009-02-20 Adolfo Guarino , George James Weatherill

The conditions for N=1 supersymmetry in type II supergravity have been previously reformulated in terms of generalized complex geometry. We improve that reformulation so as to completely eliminate the remaining explicit dependence on the…

High Energy Physics - Theory · Physics 2008-11-26 Alessandro Tomasiello

We describe an infinite-dimensional algebra of hidden symmetries for the self-dual gravity equations. Besides the known diffeomorphism-type symmetries (affine extension of w(infinity) algebra), this algebra contains new hidden symmetries,…

High Energy Physics - Theory · Physics 2009-10-30 A. D. Popov , M. Bordemann , H. Roemer

We construct chiral N=(1,0) self-dual supergravity in Euclidean eight-dimensions with reduced holonomy Spin(7), including all the higher-order interactions in a closed form. We first establish the non-chiral N=(1,1) superspace supergravity…

High Energy Physics - Theory · Physics 2014-11-18 Hitoshi Nishino , Subhash Rajpoot

We present rigid supersymmetric backgrounds for three-dimensional N=2 supersymmetric gauge theories, comprising a two-parameter U(1)xU(1)-invariant deformed three-sphere, and their gravity duals. These are described by supersymmetric…

High Energy Physics - Theory · Physics 2015-06-16 Dario Martelli , Achilleas Passias

The quest for unification of particles and fields and for reconciliation of Quantum Mechanics and General Relativity has led us to gauge theories, string theories, supersymmetry and higher-extended objects: membranes... Our spacetime is…

High Energy Physics - Theory · Physics 2007-05-23 Bernard L. Julia

It was shown in arXiv:1410.7168 that compactifying $D=6$, $\mathcal{N}=(1,0)$ ungauged supergravity coupled to a single tensor multiplet on S$^3$ one gets a particular $D=3$, $\mathcal{N}=4$ gauged supergravity which is a consistent…

High Energy Physics - Theory · Physics 2020-10-02 Nihat Sadik Deger , Nicolò Petri , Dieter Van den Bleeken

Supersymmetric black holes in five-dimensional gauged supergravity must necessarily be rotating, and so in order to study the passage to black holes away from supersymmetry, it is of great interest to obtain non-extremal black holes that…

High Energy Physics - Theory · Physics 2008-11-26 Z. W. Chong , M. Cvetic , H. Lu , C. N. Pope

We present the gravity dual of large N supersymmetric gauge theories on a squashed five-sphere. The one-parameter family of solutions is constructed in Euclidean Romans F(4) gauged supergravity in six dimensions, and uplifts to massive type…

High Energy Physics - Theory · Physics 2014-10-08 Luis F. Alday , Martin Fluder , Paul Richmond , James Sparks

We derive a general local form for supersymmetric solutions of six-dimensional (1,0) supergravity coupled to an arbitrary number of tensor multiplets. We consider some special cases in which the resulting equations can be solved explicitly.…

High Energy Physics - Theory · Physics 2018-08-22 Huibert het Lam , Stefan Vandoren