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We discuss the reduction of the eleven-dimensional M-theory effective Lagrangian, considering first compactification from eleven to five dimensions on a Calabi-Yau manifold, followed by reduction to four dimensions on an S_1/Z_2 line…

High Energy Physics - Phenomenology · Physics 2009-09-11 John Ellis , Zygmunt Lalak , Stefan Pokorski , Witold Pokorski

We perform a group manifold reduction of the dual version of N=1 d=10 supergravity to four dimensions. The effects of the 3- and 4-form gauge fields in the resulting gauged N=4 d=4 supergravity are studied in particular. The example of the…

High Energy Physics - Theory · Physics 2009-11-11 Mees de Roo , Martijn G. C. Eenink , Sudhakar Panda , Dennis B. Westra

There are some points to notice in the dimensional reduction of the off-shell supergravity. We discuss a consistent way of the dimensional reduction of five-dimensional off-shell supergravity compactified on S^1/Z_2. There are two…

High Energy Physics - Theory · Physics 2008-11-26 Hiroyuki Abe , Yutaka Sakamura

Complimentary geometric and non-geometric consistent reductions of IIB supergravity are studied. The geometric reductions on the identified group manifold X are found to have a gauge symmetry with Lie algebroid structure, generalising that…

High Energy Physics - Theory · Physics 2008-12-18 R. A. Reid-Edwards

A systematic off-shell reduction scheme from five to four space-time dimensions is presented for supergravity theories with eight supercharges. It is applicable to theories with higher-derivative couplings and it is used to address a number…

High Energy Physics - Theory · Physics 2015-06-03 Nabamita Banerjee , Bernard de Wit , Stefanos Katmadas

A recent study of filtered deformations of (graded subalgebras of) the minimal five-dimensional Poincar\'e superalgebra resulted in two classes of maximally supersymmetric spacetimes. One class are the well-known maximally supersymmetric…

High Energy Physics - Theory · Physics 2022-11-02 José Figueroa-O'Farrill , Guido Franchetti

Motivated by the possibility that physics may be effectively five-dimensional over some range of distance scales, we study the possible gaugings of five-dimensional N=2 supergravity. Using a constructive approach, we derive the conditions…

High Energy Physics - Theory · Physics 2009-11-07 John Ellis , Murat Gunaydin , Marco Zagermann

Four-dimensional supergravity theories are reinterpreted in a 12-dimensional F-theory framework. The O(8) symmetry of N=8 supergravity is related to a reduction of F-theory on T_8, with the seventy scalars formally associated, by O(8)…

High Energy Physics - Theory · Physics 2014-11-18 Sergio Ferrara , Massimo Bianchi , Gianfranco Pradisi , Augusto Sagnotti , Yassen S. Stanev

We revisit the reduction of type II supergravity on SU(3) structure manifolds, conjectured to lead to gauged N=2 supergravity in 4 dimensions. The reduction proceeds by expanding the invariant 2- and 3-forms of the SU(3) structure as well…

High Energy Physics - Theory · Physics 2010-10-27 Amir-Kian Kashani-Poor , Ruben Minasian

Our aim is to derive the effective action in four dimensions resulting by reducing dimensionally the ten-dimensional ${\cal N}=1$ heterotic supergravity coupled to ${\cal N}=1$ super Yang-Mills over manifolds admitting a nearly-K\"{a}hler…

High Energy Physics - Theory · Physics 2009-09-24 Athanasios Chatzistavrakidis , George Zoupanos

We study compactification of five dimensional ungauged N=2 supergravity coupled to vector- and hypermultiplets on orbifold $S^1/Z_2$. In the model the vector multiplets scalar manifold is arbitrary while the hypermultiplet scalars span a…

High Energy Physics - Theory · Physics 2010-11-19 F. P. Zen , B. E. Gunara , Arianto , H. Zainuddin

We first derive a class of six-dimensional (1,0) gauged supergravities arising from threefold compactifications of F-theory with background fluxes. The derivation proceeds via the M-theory dual reduction on an SU(3)-structure manifold with…

High Energy Physics - Theory · Physics 2015-06-15 Thomas W. Grimm , Tom G. Pugh

Let L\subset V=\bR^{k,l} be a maximally isotropic subspace. It is shown that any simply connected Lie group with a bi-invariant flat pseudo-Riemannian metric of signature (k,l) is 2-step nilpotent and is defined by an element \eta \in…

Differential Geometry · Mathematics 2009-08-03 Vicente Cortés , Lars Schäfer

Almost paracontact almost paracomplex Riemannian manifolds of the lowest dimension are studied. Such structures are constructed on hyperspheres in 4-dimensional spaces, Euclidean and pseudo-Euclidean, respectively. The obtained manifolds…

Differential Geometry · Mathematics 2021-01-22 Mancho Manev , Veselina Tavkova

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

Group theory indicates the existence of a $SO(8) X SO(7) \subset SO(16)$ invariant self-duality equation for a 3-form in 16 dimensions. It is a signal for interesting topological field theories, especially on 8-dimensional manifolds with…

High Energy Physics - Theory · Physics 2016-09-06 L. Baulieu

We investigate supersymmetric solutions of minimal gauged supergravity in five dimensions, in the timelike class. We propose an ansatz based on a four-dimensional local orthotoric Kaehler metric and reduce the problem to a single…

High Energy Physics - Theory · Physics 2016-06-15 Davide Cassani , Jakob Lorenzen , Dario Martelli

Duality groups of Abelian gauge theories on four manifolds and their reduction to two dimensions are considered. The duality groups include elements that relate different space-times in addition to relating different gauge-coupling…

High Energy Physics - Theory · Physics 2009-10-30 A. Giveon , M. Porrati

We perform a generalized dimensional reduction of six dimensional supergravity theories to five dimensions. We consider the minimal $(2,0)$ and the maximal $(4,4)$ theories. In each case the reduction allows us to obtain gauged…

High Energy Physics - Theory · Physics 2010-02-03 L. Andrianopoli , S. Ferrara , M. A. Lledo

We discuss models of the G\"odel Universe as Lie groups with left-invariant Lorentz metric for two simply connected four-dimensional Lie groups, the Iwasawa decomposition for semisimple Lie groups, and left-invariant Lorentz metric on ${\rm…

Differential Geometry · Mathematics 2024-08-16 V. N. Berestovskii