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The separability of the Hamilton-Jacobi equation has a well-known connection to the existence of Killing vectors and rank-two Killing tensors. This paper combines this connection with the detailed knowledge of the compactification metrics…

High Energy Physics - Theory · Physics 2021-07-21 Krzysztof Pilch , Robert Walker , Nicholas P. Warner

By identifying a bosonic consistent truncation from the 1/4-BPS wrapped M5-brane geometry of Maldacena, Strominger and Witten in D = 11 supergravity and finding a supersymmetric extension, we recover an N = 2 D = 3 supergravity theory.…

High Energy Physics - Theory · Physics 2015-03-17 Eoin Ó Colgáin , Henning Samtleben

Biconformal supergravity models provide a new gauging of the superconformal group relevant to the Maldacena conjecture. Using the group quotient method to biconformally gauge SU(2,2|N), we generate a 16-dim superspace. We write the most…

High Energy Physics - Theory · Physics 2009-11-10 Lara B. Anderson , James T. Wheeler

We study ten-dimensional N=2 maximal chiral supergravity in the context of Lie superalgebra SU(8/1). The possible successive superalgebraic truncations from ten dimensional N=2 chiral theory to the lower dimensional supergravity theories…

High Energy Physics - Theory · Physics 2015-06-26 Chang-Ho Kim , Young-Jai Park

We show that known de Sitter solutions in extended gauged supergravity theories are interrelated via a web of supersymmetry-breaking truncations. In particular, all N=8 models reduce to a subset of the N=4 possibilities. Furthermore, a…

High Energy Physics - Theory · Physics 2014-11-20 Diederik Roest , Jan Rosseel

We construct all complete metrics of cohomogeneity one G(2) holonomy with S^3 x S^3 principal orbits from gauged supergravity. Our approach rests on a generalization of the twisting procedure used in this framework. It corresponds to a…

High Energy Physics - Theory · Physics 2009-11-07 J. D. Edelstein , A. Paredes , A. V. Ramallo

Classical flux compactifications contribute to a well-controlled corner of the string landscape, therefore providing an important testing ground for a variety of conjectures. We focus here on type II supergravity compactifications on 6d…

High Energy Physics - Theory · Physics 2023-03-20 David Andriot , Paul Marconnet , Muthusamy Rajaguru , Timm Wrase

We perform a systematic analysis of generic string flux compactifications, making use of Exceptional Generalized Geometry (EGG) as an organizing principle. In particular, we establish the precise map between fluxes, gaugings of maximal 4d…

High Energy Physics - Theory · Physics 2010-11-23 G. Aldazabal , E. Andres , P. G. Camara , M. Graña

We describe special supersymmetric gauge theories in three, five, seven and nine dimensions, whose compactification on two-, four-, six- and eight-folds produces a supersymmetric quantum mechanics on moduli spaces of holomorphic bundles…

High Energy Physics - Theory · Physics 2009-10-30 L. Baulieu , A. Losev , N. Nekrasov

In the context of generalised geometry we investigate reductions to $SU(m)\times SU(m)$ together with an integrability condition which in dimension 6 describes the geometry of type II supergravity compactifications.

Differential Geometry · Mathematics 2015-06-26 Claus Jeschek , Frederik Witt

R-symmetry gauged 6D (1,0) supergravities free from all local anomalies, with gauge groups $G\times G_R$ where $G_R$ is the R-symmetry group and $G$ is semisimple with rank greater than one, and which have no hypermultiplet singlets, are…

High Energy Physics - Theory · Physics 2020-08-13 Yi Pang , Ergin Sezgin

An important step in using observations of gravitational waves from bounded sources is to relate the observed waveforms far away from a source to the local dynamics and environment of the source. To isolate and identify different features…

General Relativity and Quantum Cosmology · Physics 2026-01-08 Ghanashyam Date , Harsh

For a general class of SO(4) symmetric backgrounds in type II-supergravity, we show that the action of non-Abelian T-duality can be described via consistent truncation to seven dimensional theories with seemingly massive modes. As such, any…

High Energy Physics - Theory · Physics 2015-06-05 Georgios Itsios , Yolanda Lozano , Eoin Ó Colgáin , Konstadinos Sfetsos

We describe symmetry structure of a general singular theory (theory with constraints in the Hamiltonian formulation), and, in particular, we relate the structure of gauge transformations with the constraint structure. We show that any…

High Energy Physics - Theory · Physics 2007-05-23 D. M. Gitman , I. V. Tyutin

Gaussian graphical models (GGMs) are widely used for statistical modeling, because of ease of inference and the ubiquitous use of the normal distribution in practical approximations. However, they are also known for their limited modeling…

Machine Learning · Statistics 2016-11-22 Qinliang Su , Xuejun Liao , Chunyuan Li , Zhe Gan , Lawrence Carin

We construct new supersymmetric solutions, including AdS bubbles, in an N=2 truncation of five-dimensional N=8 gauged supergravity. This particular truncation is given by N=2 gauged supergravity coupled to two vector multiples and three…

High Energy Physics - Theory · Physics 2009-10-07 James T. Liu , H. Lu , C. N. Pope , Justin F. Vazquez-Poritz

We work out the truncation from maximal to half-maximal supergravity in four dimensions. In particular, we determine the explicit constraints on the embedding tensors of both theories. These tensors specify the complete theories, including…

High Energy Physics - Theory · Physics 2011-06-15 Giuseppe Dibitetto , Adolfo Guarino , Diederik Roest

The geometrical picture of gauge theories must be enlarged when a gauge potential ceases to behave like a connection, as it does in electroweak interactions. When the gauge group has dimension four, the vector space isomorphism between…

Mathematical Physics · Physics 2007-05-23 R. Aldrovandi , A. L. Barbosa

In this paper we continue our investigation of the global categorical symmetries that arise when gauging finite higher groups and their higher subgroups with discrete torsion. The motivation is to provide a common perspective on the…

High Energy Physics - Theory · Physics 2024-08-28 Thomas Bartsch , Mathew Bullimore , Andrea E. V. Ferrari , Jamie Pearson

We consider minimal setups arising from different truncations of N=8 five-dimensional SO(6) gauged supergravity to study phase transitions involving spontaneous breaking of any of the U(1) symmetries in U(1)xU(1)xU(1)in SO(6). These…

High Energy Physics - Theory · Physics 2015-05-27 Francesco Aprile , Diederik Roest , Jorge G. Russo