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Supersymmetric gauge theories have played a central role in applications of quantum field theory to mathematics. Topologically twisted supersymmetric gauge theories often admit a rigorous mathematical description: for example, the Donaldson…

Quantum Algebra · Mathematics 2017-11-22 Kevin Costello , Claudia Scheimbauer

We systematically investigate the finite set of possible gauge groups and matter content for N = 1 supergravity theories in six dimensions with no tensor multiplets, focusing on nonabelian gauge groups which are a product of SU(N) factors.…

High Energy Physics - Theory · Physics 2011-04-22 Vijay Kumar , Daniel S. Park , Washington Taylor

We study consistent truncations in the framework of Exceptional Generalised Geometry. We classify the 4-dimensional gauged supergravities that can be obtained as a consistent truncation of 10/11-dimensional supergravity. Any truncation is…

High Energy Physics - Theory · Physics 2025-12-03 Gregoire Josse , Michela Petrini , Martin Pico

Outlined in this paper is a description of \emph{equivariance} in the world of 2-dimensional extended topological quantum field theories, under a topological action of compactLie groups. In physics language, I am gauging the theories ---…

Mathematical Physics · Physics 2014-04-28 Constantin Teleman

In this note, we gauge the rigid vectorial supersymmetry of the two-dimensional Poisson sigma model presented in arXiv:1503.05625. We show that the consistency of the construction does not impose any further constraints on the differential…

High Energy Physics - Theory · Physics 2015-09-30 Roberto Bonezzi , Per Sundell , Alexander Torres-Gomez

We construct supersymmetric deformations of general, locally supersymmetric, nonlinear sigma models in three spacetime dimensions, by extending the pure supergravity theory with a Chern-Simons term and gauging a subgroup of the sigma model…

High Energy Physics - Theory · Physics 2010-04-05 Bernard de Wit , Ivan Herger , Henning Samtleben

We show that classical U(infinity) gauge theories can be obtained from the dimensional reduction of a certain class of higher-derivative theories. In general, the exact symmetry is attained in the limit of degenerate metric; otherwise, the…

Mathematical Physics · Physics 2013-02-26 Kiyoshi Shiraishi

We show the existence of global gauge anomalies in six dimensions for gauge groups SU(2),SU(3) and G_2 coupled to matter, characterized by an element of Z_{12},Z_6 and Z_3 respectively. Consideration of this anomaly rules out some of the…

High Energy Physics - Theory · Physics 2008-02-03 Michael Bershadsky , Cumrun Vafa

We introduce new techniques for calculations in Gauge theories with extended supersymmetry. We are working in Projective Superspace where the $SU(2)$ R-symmetry is realized geometrically by including an auxilliary $\mathbb{CP}^1$ component…

High Energy Physics - Theory · Physics 2023-07-07 Ariunzul Davgadorj , Ulf Lindström , Rikard von Unge

The study of discrete gauge symmetries in field theory and string theory is often carried out by embedding them into continuous symmetries. Many symmetries however do not seem to admit such embedding, for instance discrete isometries given…

High Energy Physics - Theory · Physics 2015-06-16 Mikel Berasaluce-González , Miguel Montero , Ander Retolaza , Ángel M. Uranga

We suggest an infinite-dimensional extension of the gauge transformations which includes non-Abelian tensor gauge fields. Extended gauge transformations of non-Abelian tensor gauge fields form a new large group which has natural geometrical…

High Energy Physics - Theory · Physics 2009-09-20 G. Savvidy

We study macroscopically two dimensional $\mathcal{N}=(2,2)$ supersymmetric gauge theories constructed by compactifying the quiver gauge theories with eight supercharges on a product $\mathbb{T}^{d} \times \mathbb{R}^{2}_{\epsilon}$ of a…

High Energy Physics - Theory · Physics 2013-12-25 Nikita Nekrasov , Vasily Pestun , Samson Shatashvili

We construct a three dimensional deconfinement method which enables us to find new three-dimensional dualities and we apply various techniques developed in four dimensional supersymmetric gauge theories, such as the product gauge groups and…

High Energy Physics - Theory · Physics 2016-09-21 Keita Nii

We construct the first complete exceptional field theory that is based on an infinite-dimensional symmetry group. E$_9$ exceptional field theory provides a unified description of eleven-dimensional and type IIB supergravity covariant under…

High Energy Physics - Theory · Physics 2021-06-02 Guillaume Bossard , Franz Ciceri , Gianluca Inverso , Axel Kleinschmidt , Henning Samtleben

In this paper, we explore the algebraic and geometric structures that arise from a procedure we dub "gauging the gauge", which involves the promotion of a certain global, coordinate independent symmetry to a local one. By gauging the global…

High Energy Physics - Theory · Physics 2022-11-17 Hank Chen , Florian Girelli

The constraints arising from anomaly cancellation are particular strong for chiral theories in six dimensions. We make progress towards a complete classification of 6D supergravities with minimal supersymmetry and non-abelian gauge group.…

High Energy Physics - Theory · Physics 2024-10-17 Yuta Hamada , Gregory J. Loges

Dyonic gaugings of four-dimensional supergravity typically exhibit a richer vacuum structure compared to their purely electric counterparts, but their higher-dimensional origin often remains more mysterious. We consider a class of dyonic…

High Energy Physics - Theory · Physics 2017-04-05 Gianluca Inverso , Henning Samtleben , Mario Trigiante

We construct a class of non-invertible duality defects, in (2+1)d quantum field theories, arising from half-spacetime gauging of a 2-group symmetry. Starting from a parent theory with two discrete and Abelian 0-form symmetries and a…

High Energy Physics - Theory · Physics 2026-05-26 Davide Bason , Wei Cui , Lorenzo Ruggeri

New gaugings of four dimensional N=8 supergravity are constructed, including one which has a Minkowski space vacuum that preserves N=2 supersymmetry and in which the gauge group is broken to $SU(3)xU(1)^2$. Previous gaugings used the form…

High Energy Physics - Theory · Physics 2014-11-18 C. M. Hull

F-theory compactified on a Calabi-Yau fourfold naturally describes non-Abelian gauge symmetries through the singularity structure of the elliptic fibration. In contrast Abelian symmetries are more difficult to study because of their…

High Energy Physics - Theory · Physics 2015-05-28 Thomas W. Grimm , Max Kerstan , Eran Palti , Timo Weigand