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We reconstruct all (2+1)D quantum double models of finite groups from their boundary symmetries through the repeated application of a gauging procedure, extending the existing construction for abelian groups. We employ the recently proposed…

Quantum Physics · Physics 2025-12-10 David Blanik , José Garre-Rubio

We present a simple way of generating the infinite set of Jacobi tensors, compatible with a given one, via the "gauge transformations" of the functions on Jacobi manifold. We consider also some applications of this result to the…

Differential Geometry · Mathematics 2007-05-23 Arthur G. Sergheyev

In the context of six-dimensional supergravity there is a special class of parent models for five-dimensional theories defined by the four Euclidean simple Jordan algebras of degree 3. We extend this result to include six- dimensional…

High Energy Physics - Theory · Physics 2011-12-14 P. Kouroumalou

Building on the principle of combinatorial gauge symmetry, lattice gauge theories can be formulated with only one- and two-body interactions that ensure the exact realization of the symmetry rather than its approximate emergence in a…

Strongly Correlated Electrons · Physics 2024-11-07 Hongji Yu , Dmitry Green , Claudio Chamon

We construct new N=6 gauged supergravities in four and five dimensions using generalized dimensional reduction. Supersymmetry is spontaneously broken to N=4,2,0 with vanishing cosmological constant. We discuss the gaugings of the broken…

High Energy Physics - Theory · Physics 2014-11-18 Giovanni Villadoro

In the model of extended non-Abelian tensor gauge fields we have found new metric-independent densities: the exact (2n+3)-forms and their secondary characteristics, the (2n+2)-forms as well as the exact 6n-forms and the corresponding…

High Energy Physics - Theory · Physics 2012-09-13 Ignatios Antoniadis , George Savvidy

A systematic method is presented for the construction and classification of algebras of gauge transformations for arbitrary high rank tensor gauge fields. For every tensor gauge field of a given rank, the gauge transformation will be…

High Energy Physics - Theory · Physics 2020-12-29 Spyros Konitopoulos

Non-conformal supercurrents in six dimensions are described, which contain the trace of the energy-momentum tensor and the gamma-trace of the supersymmetry current amongst their component fields. Within the superconformal approach to ${\cal…

High Energy Physics - Theory · Physics 2018-04-04 Sergei M. Kuzenko , Joseph Novak , Stefan Theisen

IIB supergravity is reformulated with a manifest local USp(8) invariance that makes the embedding of five-dimensional maximal supergravities transparent. In this formulation the ten-dimensional theory exhibits all the 27 one-form fields and…

High Energy Physics - Theory · Physics 2015-11-04 Franz Ciceri , Bernard de Wit , Oscar Varela

The concept of covariant coordinates on noncommutative spaces leads directly to gauge theories with generalized noncommutative gauge fields of the type that arises in string theory with background B-fields. The theory is naturally expressed…

High Energy Physics - Theory · Physics 2009-11-07 Branislav Jurco , Peter Schupp , Julius Wess

We describe forms with non-Abelian charges. We avoid the use of theories with flat curvatures by working in the context of topological field theory. We obtain TQFTs for a form and its dual. We leave open the question of getting gauges in…

High Energy Physics - Theory · Physics 2009-10-31 L. Baulieu

A representation of a finite group $G$ on a finite dimensional vector space $V$ is called \textbf{unisingular} if every $g\in G$ has 1 as an eigenvalue in its action on $V$. In this paper we show that certain unisingular representations can…

Number Theory · Mathematics 2021-10-05 John Cullinan

We present a new infinite class of non-abelian, 6d supergravities with eight supercharges. These theories not only satisfy all known low-energy consistency conditions, such as being free of anomalies, but also evade the constraints arising…

High Energy Physics - Theory · Physics 2024-07-04 Gregory J. Loges

Studying the supersymmetry enhancement mechanism of Aharony, Bergman, Jafferis and Maldacena, we find a simple condition on the gauge group generators for the matter fields. We analyze all possible compact Lie groups and their…

High Energy Physics - Theory · Physics 2013-01-31 Martin Schnabl , Yuji Tachikawa

In this paper we introduce the notion of infinite dimensional Jacobi structure to describe the geometrical structure of a class of nonlocal Hamiltonian systems which appear naturally when applying reciprocal transformations to Hamiltonian…

Differential Geometry · Mathematics 2009-10-13 Si-Qi Liu , Youjin Zhang

We consider a non-commutative U(1) gauge theory in 4 dimensions with a modified Slavnov term which looks similar to the 3-dimensional BF model. In choosing a space-like axial gauge fixing we find a new vector supersymmetry which is used to…

High Energy Physics - Theory · Physics 2008-11-26 Daniel N. Blaschke , Stefan Hohenegger

This work studies the relationship between gauge-invariant and non gauge-invariant abelian vector models. Following a technique introduced by Harada and Tsutsui, we show that the Proca and the Chiral Schwinger models may both be viewed as…

High Energy Physics - Theory · Physics 2014-07-25 Gabriel Di Lemos Santiago Lima

We find a complete characterization of all the supersymmetric solutions of non-Abelian gauged N=1,d=5 supergravity coupled to vector multiplets and hypermultiplets: the generic forms of the metrics as functions of the scalars and vector…

High Energy Physics - Theory · Physics 2008-11-26 Jorge Bellorin , Tomas Ortin

We present a systematic account of supergravity theories in which the global scaling symmetry is gauged. This generalizes the standard gaugings of non-abelian off-shell symmetries. A particular feature of these theories is an additional…

High Energy Physics - Theory · Physics 2009-05-26 Arnaud Le Diffon , Henning Samtleben

A class of two-dimensional globally scale-invariant, but not conformally invariant, theories is obtained. These systems are identified in the process of discussing global and local scaling properties of models related by duality…

High Energy Physics - Theory · Physics 2009-10-28 S. Elitzur , A. Giveon , E. Rabinovici , A. Schwimmer , G. Veneziano