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Generalised contact structures are studied from the point of view of reduced generalised complex structures, naturally incorporating non-coorientable structures as non-trivial fibering. The infinitesimal symmetries are described in detail,…

Differential Geometry · Mathematics 2018-05-24 Kyle Wright

We examine how generalised geometries can be associated with a labelled Dynkin diagram built around a gravity line. We present a series of new generalised geometries based on the groups $\mathit{Spin}(d,d)\times\mathbb{R}^+$ for which the…

High Energy Physics - Theory · Physics 2017-11-15 Charles Strickland-Constable

Generalized complex geometry is an example of a powerful formalism to attempt the construction of a language adequate to string theory. With the remarkable property of unifying symplectic and complex manifolds as special cases of a broader…

High Energy Physics - Theory · Physics 2013-03-26 Sara Oriana Tavares

We study the geometry of type II supergravity compactifications in terms of an oriented vector bundle $E$, endowed with a bundle metric of split signature and further datum. The geometric structure is associated with a so-called generalised…

Differential Geometry · Mathematics 2011-01-04 Frederik Witt

It is shown that the Scherk-Schwarz reduction of M-theory in the Berman-Perry duality invariant formalism to 6 and 5 dimensions reproduces the known structures of gauged supergravities that are normally associated to non-geometric…

High Energy Physics - Theory · Physics 2013-06-18 Edvard T. Musaev

Recently interest in using generalized reductions to construct massive supergravity theories has been revived in the context of M-theory and superstring theory. These compactifications produce mass parameters by introducing a linear…

High Energy Physics - Theory · Physics 2009-10-31 Nemanja Kaloper , Ramzi R. Khuri , Robert C. Myers

Generalised Complex Geometry provides a natural interpretation of the $\mathcal{N}=1$ supersymmetry conditions for warped solutions of type II supergravity as differential equations on polyforms on the internal manifold. Written in this…

High Energy Physics - Theory · Physics 2024-06-18 Vincent Menet

We use the formalism of Generalised Geometry to characterise in general the supersymmetric backgrounds in type II supergravity that have a null Killing vector. We then specify this analysis to configurations that preserve the same…

High Energy Physics - Theory · Physics 2015-07-06 Stefano Giusto , Luca Martucci , Michela Petrini , Rodolfo Russo

Ten-dimensional type II supergravity can be reformulated as a generalised geometrical analogue of Einstein gravity, defined by an $O(9,1)\times O(1,9)\subset O(10,10)\times\mathbb{R}^+$ structure on the generalised tangent space. To leading…

High Energy Physics - Theory · Physics 2015-06-04 André Coimbra , Charles Strickland-Constable , Daniel Waldram

We reformulate ten-dimensional type II supergravity as a generalised geometrical analogue of Einstein gravity, defined by an $O(9,1)\times O(1,9)\subset O(10,10)\times\mathbb{R}^+$ structure on the generalised tangent space. Using the…

High Energy Physics - Theory · Physics 2015-05-28 André Coimbra , Charles Strickland-Constable , Daniel Waldram

Using exceptional generalised geometry, we classify which five-dimensional ${\cal N}=2$ gauged supergravities can arise as a consistent truncation of 10-/11-dimensional supergravity. Exceptional generalised geometry turns the classification…

High Energy Physics - Theory · Physics 2022-06-22 Gregoire Josse , Emanuel Malek , Michela Petrini , Daniel Waldram

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

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

We analyze the supersymmetry conditions for a class of SU(2) structure backgrounds of Type IIB supergravity, corresponding to a specific ansatz for the supersymmetry parameters. These backgrounds are relevant for the AdS/CFT correspondence…

High Energy Physics - Theory · Physics 2009-11-11 Ruben Minasian , Michela Petrini , Alberto Zaffaroni

We derive the conditions for unbroken supersymmetry for a Mink_2, (2,0) vacuum, arising from Type II supergravity on a compact eight-dimensional manifold M_8. When specialized to internal manifolds enjoying SU(4)xSU(4) structure the…

High Energy Physics - Theory · Physics 2015-06-17 Dario Rosa

We study Minkowski supersymmetric flux vacua of type II string theory. Based on the work by M. Grana, R. Minasian, M. Petrini and A. Tomasiello, we briefly explain how to reformulate things in terms of Generalized Complex Geometry, which…

High Energy Physics - Theory · Physics 2009-08-03 David Andriot

We give a general review of extended supergravities and their gauging using the duality-covariant embedding tensor formalism. Although the focus is on four-dimensional theories, an overview of the gauging procedure and the related tensor…

High Energy Physics - Theory · Physics 2022-03-24 Mario Trigiante

In seven dimensions any spin manifold admits an SU(2) structure and therefore very general M-theory compactifications have the potential to allow for a reduction to N=4 gauged supergravity. We perform this general SU(2) reduction and give…

High Energy Physics - Theory · Physics 2015-11-05 Hagen Triendl

We consider type II backgrounds of the form R^{1,d-1} x M^{10-d} for even d, preserving 2^{d/2} real supercharges; for d = 4, 6, 8 this is minimal supersymmetry in d dimensions, while for d = 2 it is N = (2,0) supersymmetry in two…

High Energy Physics - Theory · Physics 2011-01-27 Dieter Lust , Peter Patalong , Dimitrios Tsimpis

We develop an exceptional generalised geometry formalism for massive type IIA supergravity. In particular, we construct a deformation of the generalised Lie derivative, which generates the type IIA gauge transformations as modified by the…

High Energy Physics - Theory · Physics 2016-09-21 Davide Cassani , Oscar de Felice , Michela Petrini , Charles Strickland-Constable , Daniel Waldram