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We study compactifications of eleven- and ten-dimensional maximal supergravity on Calabi-Yau threefolds. We explicitly construct truncations to pure supergravity with eight supercharges in five and four dimensions and show that they are…

High Energy Physics - Theory · Physics 2024-12-20 Jieming Lin , Torben Skrzypek , K. S. Stelle

We present the generalized Scherk-Schwarz reduction ansatz for the full supersymmetric exceptional field theory in terms of group valued twist matrices subject to consistency equations. With this ansatz the field equations precisely reduce…

High Energy Physics - Theory · Physics 2015-06-23 Olaf Hohm , Henning Samtleben

We use exceptional field theory to systematically study all possible consistent truncations around half-maximal AdS$_5$ vacua of M-theory. We show that only truncations with at most three vector multiplets are consistent. The possible…

High Energy Physics - Theory · Physics 2021-01-01 Emanuel Malek , Valentí Vall Camell

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 construct consistent Kaluza-Klein truncations of type IIA supergravity on (i) $\Sigma_2\times S^3$ and (ii) $\Sigma_3\times S^3$, where $\Sigma_2 = S^2/\Gamma$, $\mathbb{R}^2/\Gamma$, or $\mathbb{H}^2/\Gamma$, and $\Sigma_3 =…

High Energy Physics - Theory · Physics 2021-09-14 K. C. Matthew Cheung , Rahim Leung

Recently, AdS_7 solutions of IIA supergravity have been classified; there are infinitely many of them, whose expression is known analytically, and with internal space of S^3 topology. Their field theory duals are six-dimensional (1,0)…

High Energy Physics - Theory · Physics 2015-12-11 Achilleas Passias , Andrea Rota , Alessandro Tomasiello

We discuss consistent truncations of eleven-dimensional supergravity on a six-dimensional manifold $M$, preserving minimal $\mathcal{N}=2$ supersymmetry in five dimensions. These are based on $G_S \subseteq USp(6)$ structures for the…

High Energy Physics - Theory · Physics 2021-06-07 Davide Cassani , Gregoire Josse , Michela Petrini , Daniel Waldram

We use exceptional field theory as a tool to work out the full non-linear reduction ansaetze for the AdS$_5\times S^5$ compactification of IIB supergravity and its non-compact counterparts in which the sphere $S^5$ is replaced by the…

High Energy Physics - Theory · Physics 2015-09-16 Arnaud Baguet , Olaf Hohm , Henning Samtleben

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

Motivated by the recent use of certain consistent truncations of M-theory to study condensed matter physics using holographic techniques, we study the SU(3)-invariant sector of four-dimensional, N=8 gauged supergravity and compute the…

High Energy Physics - Theory · Physics 2011-03-28 Nikolay Bobev , Nick Halmagyi , Krzysztof Pilch , Nicholas P. Warner

We establish a universal consistent Kaluza-Klein truncation of M-theory based on seven-dimensional tri-Sasakian structure. The four-dimensional truncated theory is an N=4 gauged supergravity with three vector multiplets and a non-abelian…

High Energy Physics - Theory · Physics 2012-01-24 Davide Cassani , Paul Koerber

Eleven-dimensional supergravity on $S^8\times S^1$ is conjectured to be dual to the M-theory matrix model. We prove that the dynamics of a subset of fluctuations around this background is consistently described by D=2 SO(9) gauged maximal…

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

The consistency of the embedding of four-dimensional SO(8) gauged N=8 supergravity into eleven-dimensional supergravity, where the internal directions are compactified on a seven-sphere, was established by de Wit and Nicolai in the 1980s.…

High Energy Physics - Theory · Physics 2016-09-21 Arash Azizi , Hadi Godazgar , Mahdi Godazgar , C. N. Pope

The truncation formulae of $D=11$ supergravity on $S^7$ to $D=4$ ${\cal N} =8$ SO(8)-gauged supergravity are completed to include the full non-linear dependence of the $D=11$ three-form potential $\hat A_{(3)}$ on the $D=4$ fields, and…

High Energy Physics - Theory · Physics 2018-02-21 Oscar Varela

Maximal and non-maximal supergravities in three dimensions allow for a large variety of semisimple (Chern-Simons) gauge groups. In this paper, we analyze non-semisimple and complex gauge groups that satisfy the pertinent consistency…

High Energy Physics - Theory · Physics 2009-11-10 T. Fischbacher , H. Nicolai , H. Samtleben

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

We explicitly truncate N = 8 gauged supergravity in five dimensions to its SU(3)-invariant sector with dilaton and axion fields. We show that this truncation has a solution which is identical to the super Janus constructed in N = 2 gauged…

High Energy Physics - Theory · Physics 2015-05-28 Minwoo Suh

We discuss the supersymmetry and fermionic sector of the recently obtained consistent truncations of IIB supergravity containing massive modes. In particular, we present the general form of the five-dimensional N = 4 supersymmetry…

High Energy Physics - Theory · Physics 2012-07-26 James T. Liu , Phillip Szepietowski

We present the maximally supersymmetric three-dimensional gauged supergravities. Owing to the special properties of three dimensions -- especially the on-shell duality between vector and scalar fields, and the purely topological character…

High Energy Physics - Theory · Physics 2010-02-03 H. Nicolai , H. Samtleben

The SU(3)--invariant sector of maximal supergravity in four dimensions with an SO(8) gauging is uplifted to $D=11$ supergravity. In order to do this, the SU(3)--neutral sector of the tensor and duality hierarchies of the $D=4$ ${\cal N}=8$…

High Energy Physics - Theory · Physics 2019-11-06 Gabriel Larios , Praxitelis Ntokos , Oscar Varela