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One of the central concepts in modern theoretical physics, gauge symmetry, is typically realised by lifting a finite-dimensional global symmetry group of a given functional to an infinite-dimensional local one by extending the functional to…

High Energy Physics - Theory · Physics 2017-05-16 Athanasios Chatzistavrakidis , Andreas Deser , Larisa Jonke , Thomas Strobl

We review the higher gauge symmetries in double and exceptional field theory from the viewpoint of an embedding tensor construction. This is based on a (typically infinite-dimensional) Lie algebra $\frak{g}$ and a choice of representation…

High Energy Physics - Theory · Physics 2021-07-28 Olaf Hohm , Henning Samtleben

We review the construction of Lagrangians for higher spin fields of mixed symmetry in the framework of graded geometry. The main advantage of the graded formalism in this context is that it provides universal expressions, in the sense that…

High Energy Physics - Theory · Physics 2024-06-11 Athanasios Chatzistavrakidis , Georgios Karagiannis , Peter Schupp

Inspired by the possibility of high-scale supersymmetry breaking in the string landscape where the cosmological constant problem and the gauge hierarchy problem can be solved while the strong CP problem is still a challenge for naturalness,…

High Energy Physics - Phenomenology · Physics 2009-09-15 V. Barger , Cheng-Wei Chiang , Jing Jiang , Tianjun Li

A new class of two dimensional integrable field theories, based on the mathematical notion of Poisson manifolds, and containing gravity-Yang-Mills systems as well as the G/G gauged Wess-Zumino Witten-model, are presented. The local…

High Energy Physics - Theory · Physics 2007-05-23 P. Schaller , T. Strobl

We show that the requirements of renormalizability and physical consistency imposed on perturbative interactions of massive vector mesons fix the theory essentially uniquely. In particular physical consistency demands the presence of at…

High Energy Physics - Theory · Physics 2008-11-26 Michael Duetsch , Bert Schroer

We investigate the gauging of higher-form finite Abelian symmetries and their sub-groups in quantum spin models in spatial dimensions $d=2$ and 3. Doing so, we naturally uncover gauged models with dual higher-group symmetries and potential…

Strongly Correlated Electrons · Physics 2025-03-19 Heidar Moradi , Ömer M. Aksoy , Jens H. Bardarson , Apoorv Tiwari

We consider the interplay of duality symmetries and gauged isometries of supergravity models giving N-extended, spontaneously broken supergravity with a no-scale structure. Some examples, motivated by superstring and M-theory…

High Energy Physics - Theory · Physics 2009-11-07 L. Andrianopoli , R. D'Auria , S. Ferrara , M. A. Lledo

We study Euclidean 3D N=2 supersymmetric gauge theories on squashed three-spheres preserving isometries SU(2) x U(1) or U(1) x U(1). We show that, when a suitable background U(1) gauge field is turned on, these squashed spheres support…

High Energy Physics - Theory · Physics 2015-05-27 Naofumi Hama , Kazuo Hosomichi , Sungjay Lee

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

We consider (2+1)-dimensional (N, M)-extended higher-spin anti-de Sitter supergravity and study its asymptotic symmetries. The theory is described by the Chern-Simons action based on a real, infinite-dimensional higher-spin superalgebra. We…

High Energy Physics - Theory · Physics 2015-06-04 Marc Henneaux , Gustavo Lucena Gómez , Jaesung Park , Soo-Jong Rey

We construct maximally supersymmetric gauged N=16 supergravity in three dimensions, thereby obtaining an entirely new class of AdS supergravities. These models are not derivable from any known higher-dimensional theory, indicating the…

High Energy Physics - Theory · Physics 2009-10-31 H. Nicolai , H. Samtleben

Supersymmetric nonlinear sigma models are obtained from linear sigma models by imposing supersymmetric constraints. If we introduce auxiliary chiral and vector superfields, these constraints can be expressed by D-terms and F-terms depending…

High Energy Physics - Theory · Physics 2009-10-31 Kiyoshi Higashijima , Muneto Nitta

Using exceptional generalised geometry, we classify which five-dimensional ${\cal N}=2$ gauged supergravities can arise as a consistent truncation of 10-/11-dimensional supergravity. Exceptional generalised geometry turns the classification…

High Energy Physics - Theory · Physics 2022-06-22 Gregoire Josse , Emanuel Malek , Michela Petrini , Daniel Waldram

The gauge principle is at the heart of a good part of fundamental physics: Starting with a group G of so-called rigid symmetries of a functional defined over space-time Sigma, the original functional is extended appropriately by additional…

High Energy Physics - Theory · Physics 2015-11-23 Alexei Kotov , Thomas Strobl

Local symmetries is one of the most successful themes in modern theoretical physics. Although they are usually associated to Lie algebras, a gradual increase of interest in more general situations where local symmetries are associated to…

High Energy Physics - Theory · Physics 2017-04-26 Athanasios Chatzistavrakidis

The gauge principle is proposed for rigid Lie-groupoidal symmetries $G=>M$ of the Polyakov-Alvarez-Gaw\k{e}dzki 2$d$ non-linear $\sigma$-model with metric target $(M,g_M)$ and the WZ term given by a CS differential character coming from an…

High Energy Physics - Theory · Physics 2026-03-24 Rafał R. Suszek

The supersymmetric solutions of N=2, D=4 minimal ungauged and gauged supergravity are classified according to the fraction of preserved supersymmetry using spinorial geometry techniques. Subject to a reasonable assumption in the…

High Energy Physics - Theory · Physics 2008-11-26 S. L. Cacciatori , M. M. Caldarelli , D. Klemm , D. S. Mansi , D. Roest

We construct a huge number of anomaly-free models of six-dimensional N = (1,0) gauged supergravity. The gauge groups are products of U(1) and SU(2), and every hyperino is charged under some of the gauge groups. It is also found that the…

High Energy Physics - Theory · Physics 2009-11-11 Ryo Suzuki , Yuji Tachikawa

We formulate general definitions of semi-classical gauge transformations for noncommutative gauge theories in general backgrounds of string theory, and give novel explicit constructions using techniques based on symplectic embeddings of…

High Energy Physics - Theory · Physics 2022-01-12 Vladislav G. Kupriyanov , Richard J. Szabo