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Related papers: Generalized geometry applied to 4d-supergravity

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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

We give a review of truncated L$_\infty$ algebras, as used in the study of higher gauge theory. These structures are believed to hold the correct properties to adequately describe gauge theory of extended objects. We discuss how to…

High Energy Physics - Theory · Physics 2017-01-02 Patricia Ritter

We present a pedagogical discussion of the emergence of gauged supergravities from M-theory. First, a review of maximal supergravity and its global symmetries and supersymmetric solutions is given. Next, different procedures of dimensional…

High Energy Physics - Theory · Physics 2008-11-26 Diederik Roest

An alternative to the representation of complex relativity by self-dual complex 2-forms on the spacetime manifold is presented by assuming that that the bundle of real 2-forms is given an almost-complex structure. From this, one can define…

General Relativity and Quantum Cosmology · Physics 2008-11-26 David Delphenich

The general form of N=2 supergravity coupled to an arbitrary number of vector multiplets and hypermultiplets, with a generic gauging of the scalar manifold isometries is given. This extends the results already available in the literature in…

High Energy Physics - Theory · Physics 2009-10-30 L. Andrianopoli , M. Bertolini , A. Ceresole , R. D'Auria , S. Ferrara , P. Fre'

We consider the concept of a generalised manifold in the O(d,d) setting, i.e., in double geometry. The conjecture by Hohm and Zwiebach for the form of finite generalised diffeomorphisms is shown to hold. Transition functions on overlaps are…

High Energy Physics - Theory · Physics 2015-06-18 David S. Berman , Martin Cederwall , Malcolm J. Perry

In this PhD Thesis, supersymmetry and its formulation in the context of D=11 supergravity is discussed from several perspectives. The role of generalized holonomy as a classification tool of supersymmetric supergravity solutions is…

High Energy Physics - Theory · Physics 2009-09-29 Oscar Varela

In arXiv:0902.4032 [hep-th] an O(D,D)-covariant sigma model describing the embedding of a closed world-sheet into the 2D-dimensional twisted torus was proposed. Such sigma models provide a universal description of string theory with target…

High Energy Physics - Theory · Physics 2009-07-22 R A Reid-Edwards

This article shows that the approach to generalised curvature and torsion pioneered by Polacek and Siegel [1] is a generalisation of Cartan Geometry -- rendering latter natural from the point of view of O(d,d)-generalised geometry. We…

High Energy Physics - Theory · Physics 2024-09-19 Falk Hassler , Ondrej Hulik , David Osten

We study generalized almost contact structures on odd-dimensional manifolds. We introduce a notion of integrability and show that the class of these structures is closed under symmetries of the Courant-Dorfman bracket, including T-duality.…

Differential Geometry · Mathematics 2015-12-11 Marco Aldi , Daniele Grandini

A simple mechanical system, the three-dimensional isotropic rigid rotator, is here investigated as a 0+1 field theory, aiming at further investigating the relation between Generalized/Double Geometry on the one hand and Doubled World-Sheet…

High Energy Physics - Theory · Physics 2018-09-26 Vincenzo Emilio Marotta , Franco Pezzella , Patrizia Vitale

One of the central concepts in modern theoretical physics, gauge symmetry, is typically realised by lifting a finite-dimensional global symmetry group of a given functional to an infinite-dimensional local one by extending the functional to…

High Energy Physics - Theory · Physics 2017-05-16 Athanasios Chatzistavrakidis , Andreas Deser , Larisa Jonke , Thomas Strobl

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

We study consistent truncations in the framework of Exceptional Generalised Geometry. We classify the 4-dimensional gauged supergravities that can be obtained as a consistent truncation of 10/11-dimensional supergravity. Any truncation is…

High Energy Physics - Theory · Physics 2025-12-03 Gregoire Josse , Michela Petrini , Martin Pico

These lectures present an introduction to supergravity, and are intended for graduate students with a working knowledge of quantum field theory, including the elementary group theory needed for it, but no prior knowledge of general…

High Energy Physics - Theory · Physics 2012-01-24 Horatiu Nastase

Motivated by the two-dimensional massive gravity description of $T\overline{T}$ deformations, we propose a direct generalization in $d$ dimensions. Our methodology indicates that all terms up to order $d$ are present in the deformation. In…

High Energy Physics - Theory · Physics 2024-09-26 Evangelos Tsolakidis

Geometric structures and dualities arise naturally in quantum field theories and string theory. In fact, these tools become very useful when studying strong coupling effects, where standard perturbative techniques can no longer be used. In…

High Energy Physics - Theory · Physics 2021-05-18 Thomas B. Rochais

Generalized complex geometry is a new mathematical framework that is useful for describing the target space of N=(2,2) nonlinear sigma-models. The most direct relation is obtained at the N=(1,1) level when the sigma model is formulated with…

High Energy Physics - Theory · Physics 2009-11-10 Ulf Lindstrom , Martin Rocek , Rikard von Unge , Maxim Zabzine

The first part of these notes is a self-contained introduction to generalized complex geometry. It is intended as a `user manual' for tools used in the study of supersymmetric backgrounds of supergravity. In the second part we review some…

High Energy Physics - Theory · Physics 2016-06-29 Dimitrios Tsimpis

A geometric description is given for the Sp(2) covariant version of the field-antifield quantization of general constrained systems in the Lagrangian formalism. We develop differential geometry on manifolds in which a basic set of…

High Energy Physics - Theory · Physics 2013-07-31 I Batalin , R Marnelius , A Semikhatov