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We analyze the constraints which follow both on the geometry and on the gauge sector for a consistent supergravity reduction of a general matter-coupled N=2 supergravity theory in four dimensions. These constraints can be derived in an…

High Energy Physics - Theory · Physics 2009-11-07 L. Andrianopoli , R. D'Auria , S. Ferrara

We construct consistent Kaluza--Klein reductions of D=11 supergravity to four dimensions using an arbitrary seven-dimensional Sasaki--Einstein manifold. At the level of bosonic fields, we extend the known reduction, which leads to minimal…

High Energy Physics - Theory · Physics 2009-05-01 Jerome P. Gauntlett , Seok Kim , Oscar Varela , Daniel Waldram

We define the notion of Y-algebroids, generalising the Lie, Courant, and exceptional algebroids that have been used to capture the local symmetry structure of type II string theory and M-theory compactifications to $D \geq 5$ dimensions.…

High Energy Physics - Theory · Physics 2024-12-02 Ondrej Hulik , Emanuel Malek , Fridrich Valach , Daniel Waldram

The recent mathematical literature introduces generalised geometries which are defined by a reduction from the structure group $SO(d,d)$ of the vector bundle $T^d\oplus T^{d*}$ to a special subgroup. In this article we show that…

High Energy Physics - Theory · Physics 2008-11-26 Claus Jeschek , Frederik Witt

The hidden on-shell E(7(7)) symmetry of maximal supergravity is usually discussed in a truncation from D=11 to four dimensions. In this article, we reverse the logic and start from a theory with manifest off-shell E(7(7)) symmetry inspired…

High Energy Physics - Theory · Physics 2009-11-13 Christian Hillmann

We study properties of D = 4, N >1 extended supergravities (and related compactifications of superstring theory) and their consistent truncation to the phenomenologically interesting models of N = 1 supergravity. This involves a detailed…

High Energy Physics - Theory · Physics 2015-06-04 Sergio Ferrara , Renata Kallosh , Alessio Marrani

We investigate compactifications of type II and M-theory down to $AdS_5$ with generic fluxes that preserve eight supercharges, in the framework of Exceptional Generalized Geometry. The geometric data and gauge fields on the internal…

High Energy Physics - Theory · Physics 2016-09-21 Mariana Graña , Praxitelis Ntokos

This review article consists of two parts. In the first part we use the formalism of (exceptional) generalized geometry to derive the scalar field space of SU(2)xSU(2)-structure compactifications. We show that in contrast to SU(3)xSU(3)…

High Energy Physics - Theory · Physics 2011-01-05 Hagen Triendl

The reduction of ten-dimensional heterotic supergravity with Yang-Mills symmetry group K is performed on an arbitrary n-dimensional group manifold G. The reduction involves a nonvanishing 3-form flux, and the Lie algebra of G must have…

High Energy Physics - Theory · Physics 2008-11-26 H. Lu , C. N. Pope , E. Sezgin

The dimensional reduction of a generic theory on a curved internal space such as a sphere does not admit a consistent truncation to a finite set of fields that includes the Yang-Mills gauge bosons of the isometry group. In rare cases, for…

High Energy Physics - Theory · Physics 2018-08-22 Arash Azizi , C. N. Pope

We define intrinsic torsion in generalised geometry and use it to introduce a new notion of generalised special holonomy. We then consider generic warped supersymmetric flux compactifications of M theory and Type II of the form…

High Energy Physics - Theory · Physics 2016-07-07 André Coimbra , Charles Strickland-Constable , Daniel Waldram

Type-IIB supergravity in ten dimensions admits two consistent $Z_2$ truncations. After the insertion of D9-branes, one of them leads to the low-energy action of type-I string theory, and it can be performed in two different ways, in…

High Energy Physics - Theory · Physics 2009-11-10 F. Riccioni

Extending previous work on generalised geometry, we explicitly construct an E7-valued vielbein in eleven dimensions that encompasses the scalar bosonic degrees of freedom of D=11 supergravity, by identifying new "generalised vielbeine" in…

High Energy Physics - Theory · Physics 2015-06-16 Hadi Godazgar , Mahdi Godazgar , Hermann Nicolai

We display the construction of a twisted superalgebra for the N=1 Euclidian supergravity on 4-manifolds with an almost complex structure. It acts on a representation of twisted supersymmetry made of forms with odd and even statistics and it…

High Energy Physics - Theory · Physics 2012-11-22 Laurent Baulieu , Marc Bellon , Valentin Reys

We rewrite the equations for ten-dimensional supersymmetry in a way formally identical to a necessary and sufficient G-structure system in N=2 gauged supergravity, where all four-dimensional quantities are replaced by combinations of pure…

High Energy Physics - Theory · Physics 2015-06-16 Dario Rosa , Alessandro Tomasiello

We holographically study supersymmetric deformations of $N=3$ and $N=1$ superconformal field theories (SCFTs) in three dimensions using four-dimensional $N=4$ gauged supergravity coupled to three-vector multiplets with non-semisimple…

High Energy Physics - Theory · Physics 2017-03-03 Parinya Karndumri

Recent work has shown that two-dimensional non-linear $\sigma$-models on group manifolds with Poisson-Lie symmetry can be understood within generalised geometry as exemplars of generalised parallelisable spaces. Here we extend this idea to…

High Energy Physics - Theory · Physics 2019-12-24 Saskia Demulder , Falk Hassler , Giacomo Piccinini , Daniel C. Thompson

In the gauge theoretic approach of gravity, General Relativity is described by gauging the symmetry of the tangent manifold in four dimensions. Usually the dimension of the tangent space is considered to be equal to the dimension of the…

High Energy Physics - Theory · Physics 2023-11-16 Spyros Konitopoulos , Danai Roumelioti , George Zoupanos

Several recent papers have made considerable progress in proving the existence of remarkable consistent Kaluza-Klein sphere reductions of D=10 and D=11 supergravities, to give gauged supergravities in lower dimensions. A proof of the…

High Energy Physics - Theory · Physics 2009-09-17 M. Cvetic , H. Lu , C. N. Pope

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