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States on the Coulomb branch of N=4 super-Yang-Mills theory are studied from the point of view of gauged supergravity in five dimensions. These supersymmetric solutions provide examples of consistent truncation from type IIB supergravity in…

High Energy Physics - Theory · Physics 2009-10-31 D. Z. Freedman , S. S. Gubser , K. Pilch , N. P. Warner

We study compactifications on ${\rm AdS}_3\times S^3$ and deformations thereof. We exploit the triality symmetry of the underlying duality group ${\rm SO}(4,4)$ of three-dimensional supergravity in order to construct and relate new…

High Energy Physics - Theory · Physics 2022-02-02 Camille Eloy , Gabriel Larios , Henning Samtleben

Superconformal geometries in spacetime dimensions $D=3,4,{5}$ and $6$ are discussed in terms of local supertwistor bundles over standard superspace. These natually admit superconformal connections as matrix-valued one-forms. In order to…

High Energy Physics - Theory · Physics 2021-05-05 P. S. Howe , U. Lindström

We address the construction of manifest U-duality invariant generalized diffeomorphisms. The closure of the algebra requires an extension of the tangent space to include a tensor hierarchy indicating the existence of an underlying unifying…

High Energy Physics - Theory · Physics 2015-02-23 Gerardo Aldazabal , Mariana Graña , Diego Marqués , José A. Rosabal

Gauge non-invariance due to material truncation has recently been explored in a number of contexts in strong-coupling QED. We show that the approach proposed recently in Nature Physics 15, 803 (2019) rests on an incorrect mathematical…

Quantum Physics · Physics 2024-12-01 Adam Stokes , Ahsan Nazir

String theory, specifically type-II superstring theory, can be formulated in any ten-dimensional signature. To facilitate the study of supergravity and superstring theories in this setting, we present a uniform construction of supersymmetry…

High Energy Physics - Theory · Physics 2021-11-10 Louis Gall , Thomas Mohaupt

Type II supergravity on backgrounds admitting SU(3) x SU(3) structure and general fluxes is considered. Using the generalized geometry formalism, we study dimensional reductions leading to N=2 gauged supergravity in four dimensions,…

High Energy Physics - Theory · Physics 2009-12-04 Davide Cassani

We study duality-twisted dimensional reductions on a group manifold G, where the twist is in a group \tilde{G} and examine the conditions for consistency. We find that if the duality twist is introduced through a group element \tilde{g} in…

High Energy Physics - Theory · Physics 2009-11-11 Aybike Catal-Ozer

We study supersymmetric $AdS_4\times \Sigma_2$ and $AdS_3\times \Sigma_3$ solutions in half-maximal gauged supergravity in six dimensions with $SU(2)_R\times SU(2)$ gauge group. The gauged supergravity is obtained by coupling three vector…

High Energy Physics - Theory · Physics 2018-12-31 Parinya Karndumri

We study ordinary, zero-form symmetry $G$ and its anomalies in a system with a one-form symmetry $\Gamma$. In a theory with one-form symmetry, the action of $G$ on charged line operators is not completely determined, and additional data, a…

High Energy Physics - Theory · Physics 2023-08-30 Diego Delmastro , Jaume Gomis , Po-Shen Hsin , Zohar Komargodski

Despite remarkable success in describing supergravity reductions and backgrounds, generalized geometry and the closely related exceptional field theory are still lacking a fundamental object of differential geometry, the Riemann tensor. We…

High Energy Physics - Theory · Physics 2023-11-22 Falk Hassler , Yuho Sakatani

We show how three-dimensional superconformal theories for any number N <= 8 of supersymmetries can be obtained by taking a conformal limit of the corresponding three-dimensional gauged supergravity models. The superconformal theories are…

High Energy Physics - Theory · Physics 2008-11-26 Eric A. Bergshoeff , Olaf Hohm , Diederik Roest , Henning Samtleben , Ergin Sezgin

An extended search for anomaly free matter coupled $N=(1,0)$ supergravity in six dimension is carried out by two different methods which we refer to as the graphical and rank methods. In the graphical method the anomaly free models are…

High Energy Physics - Theory · Physics 2023-11-07 Katrin Becker , Alex Kehagias , Ergin Sezgin , David Tennyson , Avraam Violaris

Bi-spinor and G-structure methods are used to classify the possible consistent truncations of type II supergravity to $d=6$ Einstein-Maxwell (gauged) supergravity, and its consistent sub-sectors. In the absence of R-symmetry gauging and a…

High Energy Physics - Theory · Physics 2025-11-05 Niall T. Macpherson , Ricardo Stuardo

This paper introduces a geometric mechanics framework for constrained systems on principal bundles through \emph{compatible pairs} $(\mathcal{D}, \lambda)$, addressing fundamental challenges in gauge-constrained physical systems. We…

General Mathematics · Mathematics 2025-08-12 Dongzhe Zheng

We discuss a solution of the equations of motion of five-dimensional gauged type IIB supergravity that describes confining SU(N) gauge theories at large N and large 't Hooft parameter. We prove confinement by computing the Wilson loop, and…

High Energy Physics - Theory · Physics 2010-02-03 L. Girardello , M. Petrini , M. Porrati , A. Zaffaroni

We perform a global analysis of the space of consistent 6D quantum gravity theories with N = 1 supersymmetry, including models with multiple tensor multiplets. We prove that for theories with fewer than T = 9 tensor multiplets, a finite…

High Energy Physics - Theory · Physics 2010-11-30 Vijay Kumar , David R. Morrison , Washington Taylor

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

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

We analyze the supersymmetry transformations of gauged $SO(4)$ supergravity coupled to extra hypermultiplets in three dimensions, and find large families of smooth BPS solutions that preserve four supersymmetries. These BPS solutions are…

High Energy Physics - Theory · Physics 2021-09-15 Anthony Houppe , Nicholas P. Warner