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Related papers: Nonlinear Self-Duality in Even Dimensions

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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

Proper symmetries act on fields while pseudo-symmetries act on both fields and coupling constants. We identify the pseudo-duality groups that act as symmetries of the equations of motion of general systems of scalar and vector fields and…

High Energy Physics - Theory · Physics 2016-09-06 C. M. Hull , A. Van Proeyen

We discuss Born-Infeld on the noncommutative two-torus as a description of compactified string theory. We show that the resulting theory, including the fluctuations, is manifestly invariant under the T-duality group SO(2,2;Z). The BPS mass…

High Energy Physics - Theory · Physics 2010-02-03 C. Hofman , E. Verlinde

Starting from Seiberg's electric-magnetic duality for supersymmetric QCD, we construct dual pairs of non-supersymmetric gauge theories. This is accomplished by first taking the large N limit of supersymmetric QCD and its dual partner and…

High Energy Physics - Theory · Physics 2016-08-25 Martin Schmaltz

We study N=1 supersymmetric U(N) gauge theories coupled to an adjoint chiral field with superpotential. We consider the full supersymmetric moduli space of these theories obtained by adding all allowed chiral operators. These include…

High Energy Physics - Theory · Physics 2009-08-28 Mina Aganagic , Christopher Beem , Jihye Seo , Cumrun Vafa

Within the context of the extended bi-spinor gauge theory we describe a new off-shell realization of scalar supersymmetry (s-susy) of massless interacting fields with U(1), U(1) x SU(N) and U(1) x SU(N_1) x SU(N_2) gauge groups. S-susy acts…

High Energy Physics - Theory · Physics 2017-10-18 Alex Jourjine

It is an accepted fact that requiring the Lovelock theory to have the maximun possible number of degree of freedom, fixes the parameters in terms of the gravitational and the cosmological constants. In odd dimensions, the Lagrangian is a…

High Energy Physics - Theory · Physics 2013-09-03 P. K. Concha , D. M. Peñafiel , E. K. Rodríguez , P. Salgado

We study the supersymmetric extension of the gauged $ O(3) $ sigma model in $ 2+1 $ dimensions and find the supersymmetry algebra. We also discuss soliton solutions in case the Maxwell term is replaced by the Born-Infeld term. We show that…

High Energy Physics - Theory · Physics 2009-10-31 Prasanta K. Tripathy

We consider interesting Seiberg dualities for $Usp$ gauge theories with an antisymmetric, $8$ fundamentals and no superpotential. We reduce to three dimensions and systematically analyze deformations triggered by real and complex masses,…

High Energy Physics - Theory · Physics 2019-05-01 Sergio Benvenuti

A method for implementing non-Abelian duality on string backgrounds is given. It is shown that a direct generalisation of the familiar Abelian duality induces an extra local symmetry in the gauge invariant theory. The non-Abelian isometry…

High Energy Physics - Theory · Physics 2009-10-28 Noureddine Mohammedi

Based on recent developments, in this letter we find 2+1 dimensional gauge theories with scale invariance and N=8 supersymmetry. The gauge theories are defined by a Lagrangian and are based on an infinite set of 3-algebras, constructed as…

High Energy Physics - Theory · Physics 2009-02-02 Sergio Benvenuti , Diego Rodriguez-Gomez , Erik Tonni , Herman Verlinde

The variety of consistent "gauging" deformations of supergravity theories in four dimensions depends on the choice of Lagrangian formulation. One important goal is to get the most general deformations without making hidden assumptions.…

High Energy Physics - Theory · Physics 2018-02-14 Marc Henneaux , Bernard Julia , Victor Lekeu , Arash Ranjbar

We show how massive/gauged maximal supergravities in 11-n dimensions with SO(n-l,l) gauge groups (and other non-semisimple subgroups of Sl(n,R)) can be systematically obtained by dimensional reduction of ``massive 11-dimensional…

High Energy Physics - Theory · Physics 2010-04-05 Natxo Alonso-Alberca , Tomas Ortin

We construct a pseudo-Lagrangian that is invariant under rigid $E_{11}$ and transforms as a density under $E_{11}$ generalised diffeomorphisms. The gauge-invariance requires the use of a section condition studied in previous work on…

High Energy Physics - Theory · Physics 2021-07-14 Guillaume Bossard , Axel Kleinschmidt , Ergin Sezgin

We construct a non-Abelian gauge theory of chiral 2-forms (self-dual gauge fields) in 6 dimensions with a spatial direction compactified on a circle of radius R. It has the following two properties. (1) It reduces to the Yang-Mills theory…

High Energy Physics - Theory · Physics 2011-07-13 Pei-Ming Ho , Kuo-Wei Huang , Yutaka Matsuo

The superselection sectors of two classes of scalar bilocal quantum fields in D>=4 dimensions are explicitly determined by working out the constraints imposed by unitarity. The resulting classification in terms of the dual of the respective…

Mathematical Physics · Physics 2008-11-26 Bojko Bakalov , Nikolay Nikolov , Karl-Henning Rehren , Ivan Todorov

We explore geometries that give rise to a novel algebraic structure, the Exceptional Drinfeld Algebra, which has recently been proposed as an approach to study generalised U-dualities, similar to the non-Abelian and Poisson-Lie…

High Energy Physics - Theory · Physics 2020-10-14 Chris D. A. Blair , Daniel C. Thompson , Sofia Zhidkova

String theory compactified on a three-torus possesses an SL(5,Z) U-duality group. We investigate the realisation of this symmetry on the Born-Infeld theory on a three-brane, and discuss a U-duality covariant formulation of the BPS sector of…

High Energy Physics - Theory · Physics 2007-05-23 Gysbert Zwart

A semi-classical check of the Goddard-Nuyts-Olive (GNO) generalized duality conjecture for gauge theories with adjoint Higgs fields is performed for the case where the unbroken gauge group is non-abelian. The monopole solutions of the…

High Energy Physics - Theory · Physics 2008-02-03 N. Dorey , C. Fraser , T. J. Hollowood , M. A. C. Kneipp

Dimensional reduction of maximal supergravity to two dimensions leads to an infinite-dimensional (non-local) symmetry group W x E_9 which has a simpler action when the bosonic fields are dualised to an infinite tower of dual potentials. We…

High Energy Physics - Theory · Physics 2007-05-23 Louis Paulot