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Type IIB supergravity can be consistently truncated to the metric and the self-dual 5-form. We obtain the complete non-linear Kaluza-Klein S^5 reduction Ansatz for this theory, giving rise to gravity coupled to the fifteen Yang-Mills gauge…

High Energy Physics - Theory · Physics 2008-11-26 M. Cvetic , H. Lu , C. N. Pope , A. Sadrzadeh , T. A. Tran

With the purpose of holographically describing flows from a large family of four dimensional ${\cal N}=1$ and ${\cal N}=2$ conformal field theories, we discuss truncations of seven dimensional supergravity to five dimensions. We write…

High Energy Physics - Theory · Physics 2020-04-22 Anton F. Faedo , Carlos Nunez , Christopher Rosen

Explicit supersymmetry breaking is studied in higher dimensional theories by having boundaries respect only a subgroup of the bulk symmetry. If the boundary symmetry is the maximal subgroup allowed by the boundary conditions imposed on the…

High Energy Physics - Theory · Physics 2009-09-29 Lawrence J. Hall , Yasunori Nomura , Takemichi Okui , Steven J. Oliver

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

A brief overview of dimensional reductions for diffeomorphism invariant theories is given. The distinction between the physical idea of compactification and the mathematical problem of a consistent truncation is discussed, and the typical…

High Energy Physics - Theory · Physics 2008-11-26 Josep M. Pons

The aim of this Thesis is twofold. On the one hand, we find the necessary and sufficient conditions for a maximally supersymmetric supergravity theory in 3D to be a solution of 11D supergravity (but the result is general and also holds for…

High Energy Physics - Theory · Physics 2025-12-19 Davide Rovere

We initiate the systematic construction of gauged matter-coupled supergravity theories in two dimensions. Subgroups of the affine global symmetry group of toroidally compactified supergravity can be gauged by coupling vector fields with…

High Energy Physics - Theory · Physics 2008-11-26 Henning Samtleben , Martin Weidner

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

At the two-derivative order, the group manifold reduction of heterotic supergravity on $S^3$ results in a half-maximal 7D gauged supergravity coupled to three vector multiplets, and a further truncation can be taken to remove the vector…

High Energy Physics - Theory · Physics 2024-02-19 James T. Liu , Robert J. Saskowski

A procedure is described to construct generalised Scherk-Schwarz uplifts of gauged supergravities. The internal manifold, fluxes, and consistent truncation Ansatz are all derived from the embedding tensor of the lower-dimensional theory. We…

High Energy Physics - Theory · Physics 2021-07-05 Gianluca Inverso

We study the four-dimensional {\it N}=8 maximal supergravity in the context of Lie superalgebra SU(8/1). All possible successive superalgebraic truncations from four-dimensional {\it N}=8 theory to {\it N}=7, 6, $\cdots$, 1 supergravity…

High Energy Physics - Theory · Physics 2014-11-18 Chang-Ho Kim , Young-Jai Park , Kee Yong Kim , Yongduk Kim

Massive type IIA supergravity is shown to admit a consistent truncation on the six-sphere to maximal supergravity in four dimensions with a dyonic ISO(7) gauging. We obtain the complete, non-linear embedding of all the $D=4$ fields into the…

High Energy Physics - Theory · Physics 2016-01-27 Adolfo Guarino , Oscar Varela

We develop in detail the general framework of consistent Kaluza-Klein truncations from D=11 and type II supergravities to gauged maximal supergravities in two dimensions. In particular, we unveil the complete bosonic dynamics of all gauged…

High Energy Physics - Theory · Physics 2024-01-17 Guillaume Bossard , Franz Ciceri , Gianluca Inverso , Axel Kleinschmidt

We show how toroidally-compactified eleven-dimensional supergravity can be consistently truncated to yield a variety of maximally-supersymmetric ``massive'' supergravities in spacetime dimensions $D\le 8$. The mass terms arise as a…

High Energy Physics - Theory · Physics 2009-10-07 P. M. Cowdall , H. Lu , C. N. Pope , K. S. Stelle , P. K. Townsend

We investigate gauge/gravity duality for gauge theories in de Sitter space. More precisely, we study a five-dimensional consistent truncation of type IIB supergravity, which encompasses a wide variety of gravity duals of strongly coupled…

High Energy Physics - Theory · Physics 2015-12-09 Lilia Anguelova , Peter Suranyi , L. C. Rohana Wijewardhana

We compare the dynamics of maximal three-dimensional gauged supergravity in appropriate truncations with the equations of motion that follow from a one-dimensional E10/K(E10) coset model at the first few levels. The constant embedding…

High Energy Physics - Theory · Physics 2009-01-22 Eric A. Bergshoeff , Olaf Hohm , Axel Kleinschmidt , Hermann Nicolai , Teake A. Nutma , Jakob Palmkvist

We discuss the dimensional reduction of fermionic modes in a recently found class of consistent truncations of type IIB supergravity compactified on squashed five-dimensional Sasaki-Einstein manifolds. We derive the lower dimensional…

High Energy Physics - Theory · Physics 2011-01-27 Ibrahima Bah , Alberto Faraggi , Juan I. Jottar , Robert G. Leigh

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 show that in the context of two-dimensional sigma models minimal coupling of an ordinary rigid symmetry Lie algebra $\mathfrak{g}$ leads naturally to the appearance of the "generalized tangent bundle" $\mathbb{T}M \equiv TM \oplus T^*M$…

High Energy Physics - Theory · Physics 2015-06-22 Alexei Kotov , Vladimir Salnikov , Thomas Strobl

Cartan geometry provides a unifying algebraic construction of curvature and torsion, based on an underlying model Lie algebra -- a viewpoint that can be extended naturally to the higher algebraic structures underlying supergravity. We…

High Energy Physics - Theory · Physics 2025-09-08 Falk Hassler , David Osten , Alex Swash