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Generalised Scherk-Schwarz reductions in which compactification on a circle is accompanied by a twist with an element of a global symmetry G typically lead to gauged supergravities and are classified by the monodromy matrices, up to…

High Energy Physics - Theory · Physics 2010-11-19 C. M. Hull

We find the bosonic sector of the gauged supergravities that are obtained from 11-dimensional supergravity by Scherk-Schwarz dimensional reduction with flux to any dimension D. We show that, if certain obstructions are absent, the…

High Energy Physics - Theory · Physics 2009-11-11 C. M. Hull , R. A. Reid-Edwards

We explore consistent truncations from 10d/11d supergravity to supergravity theories on brane worldvolumes. Supersymmetric black-brane solutions to these lower-dimensional theories can be uplifted to 10d/11d supergravity and interpreted as…

High Energy Physics - Theory · Physics 2025-12-08 Jieming Lin , Torben Skrzypek , K. S. Stelle

The most detailed constructions of microstate geometries, and particularly of superstrata, are done using $\mathcal{N} = (1,0)$ supergravity coupled to two anti-self-dual tensor multiplets in six dimensions. We show that an important…

High Energy Physics - Theory · Physics 2020-10-28 Daniel R. Mayerson , Robert A. Walker , Nicholas P. Warner

All spherically symmetric Riemannian metrics of constant scalar curvature in any dimension can be written down in a simple form using areal coordinates. All spherical metrics are conformally flat, so we search for the conformally flat…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Patryk Mach , Niall Ó Murchadha

This paper is an extension of the results presented in \cite{Guarino:2024gke}. We study $ G_S$-invariant subsectors of maximal gauged supergravities and show that such models can provide consistent truncations even when $G_S$ is not a…

High Energy Physics - Theory · Physics 2026-04-28 Anik Rudra , Colin Sterckx , Mario Trigiante

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

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

We reconsider the phenomenon of mass generation via coordinate-dependent compatifications of higher-dimensional theories on orbifolds. For definiteness, we study a generic five-dimensional (5D) theory compactified on S^1/Z_2. We show that…

High Energy Physics - Theory · Physics 2014-11-18 Jonathan Bagger , Ferruccio Feruglio , Fabio Zwirner

In this paper, a way of generalizing the tensor renormalization group(TRG) is proposed. Mathematically, the connection between patterns of tensor renormalization group and the concept of truncation sequence in polytope geometry is…

Statistical Mechanics · Physics 2017-06-12 Peiyuan Teng

We analyse generic AdS flux backgrounds preserving eight supercharges in $D=4$ and $D=5$ dimensions using exceptional generalised geometry. We show that they are described by a pair of globally defined, generalised structures, identical to…

High Energy Physics - Theory · Physics 2017-02-01 Anthony Ashmore , Michela Petrini , Daniel Waldram

The aim of this paper is to introduce a generalization of Steiner symmetrization in Euclidean space for spherical space, which is the dual of the Steiner symmetrization in hyperbolic space introduced by J. Schneider (Manuscripta Math. 60:…

Metric Geometry · Mathematics 2025-01-23 Bushra Basit , Steven Hoehner , Zsolt Lángi , Jeff Ledford

We study the system of equations derived twenty five years ago by B. de Wit and the first author [Nucl. Phys. B281 (1987) 211] as conditions for the consistent truncation of eleven-dimensional supergravity on AdS_4 x S^7 to gauged N = 8…

High Energy Physics - Theory · Physics 2015-06-03 Hermann Nicolai , Krzysztof Pilch

We construct a consistent Kaluza-Klein reduction of $D=11$ supergravity on $\Sigma_2\times S^4$, where $\Sigma_2=S^2,\mathbb{R}^2$ or $H^2$, or a quotient thereof, at the level of the bosonic fields. The result is a gauged $N=4$, $D=5$…

High Energy Physics - Theory · Physics 2020-01-08 K. C. Matthew Cheung , Jerome P. Gauntlett , Christopher Rosen

In the paper arXiv:2501.04771, a novel compactification of heterotic supergravity on a warped product of $\R\times T^{1,1}$ was constructed, where $T^{1,1}$ is a five-dimensional coset space $(SU(2)\times SU(2))/U(1)$. It was shown that…

High Energy Physics - Theory · Physics 2025-12-30 C. N. Pope

We study the global geometry of a general class of spacetimes of relevance to the supersymmetric $AdS_3/CFT_2$ correspondence in eleven-dimensional supergravity. Specifically, we study spacetimes admitting a globally-defined…

High Energy Physics - Theory · Physics 2008-11-26 Pau Figueras , Oisin A. P. Mac Conamhna , Eoin O Colgain

We construct a consistent four-scalar truncation of ten-dimensional IIA supergravity on nearly K\"ahler spaces in the presence of dilatino condensates. The truncation is universal, i.e. it does not depend on any detailed features of the…

High Energy Physics - Theory · Physics 2019-03-27 Robin Terrisse , Dimitrios Tsimpis

We explore the consequence of generalized symmetries in four-dimensional $\mathcal{N}=1$ superconformal field theories. First, we classify all possible supersymmetric gauge theories with a simple gauge group that have a nontrivial one-form…

High Energy Physics - Theory · Physics 2025-05-07 Monica Jinwoo Kang , Craig Lawrie , Ki-Hong Lee , Jaewon Song

We construct generalised diffeomorphisms for E$_9$ exceptional field theory. The transformations, which like in the E$_8$ case contain constrained local transformations, close when acting on fields. This is the first example of a…

High Energy Physics - Theory · Physics 2017-12-07 Guillaume Bossard , Martin Cederwall , Axel Kleinschmidt , Jakob Palmkvist , Henning Samtleben

We prove some theorems characterizing the global properties of static, spherically symmetric configurations of a self-gravitating real scalar field in general relativity (GR) in various dimensions, with an arbitrary potential $V$, not…

General Relativity and Quantum Cosmology · Physics 2010-11-19 K. A. Bronnikov , G. N. Shikin