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Some properties of the correspondence between the non-commutative versions of the (generalized) sine-Gordon (NCGSG$_{1,2}$) and the massive Thirring (NCGMT$_{1,2}$) models are studied. Our method relies on the master Lagrangian approach to…

High Energy Physics - Theory · Physics 2011-01-04 H. Blas , H. L. Carrion

We propose a hypothesis that all gauge theories are equivalent to a certain non-standard string theory. Different gauge groups are accounted for by weights ascribed to the world sheets of different topologies. The hypothesis is checked in…

High Energy Physics - Theory · Physics 2009-10-30 A. Polyakov

Affine Toda theory is a relativistic integrable theory in two dimensions possessing solutions describing a number of different species of solitons when the coupling is chosen to be imaginary. These nevertheless carry real energy and…

High Energy Physics - Theory · Physics 2009-10-22 Marco A. C. Kneipp , David I. Olive

We consider discrete gauge symmetries in D dimensions arising as remnants of broken continuous gauge symmetries carried by general antisymmetric tensor fields, rather than by standard 1-forms. The lagrangian for such a general ${\bf Z}_p$…

High Energy Physics - Theory · Physics 2015-06-17 Mikel Berasaluce-González , Guillermo Ramírez , Angel M. Uranga

We consider the two-dimensional $\mathfrak{sl}_n$ quantum Toda field theory with an imaginary background charge. This conformal field theory has a higher spin symmetry ($W_n$ algebra), a central charge $c \leq n-1$ and a continuous…

Mathematical Physics · Physics 2019-02-20 Thomas Dupic , Benoît Estienne , Yacine Ikhlef

A class of two-dimensional field theories with exponential interactions is introduced. The interaction depends on two ``coupling'' matrices and is sufficiently general to include all Toda field theories existing in the literature. Lie point…

Exactly Solvable and Integrable Systems · Physics 2008-11-26 S. Lafortune , P. Winternitz , L. Martina

We further develop the framework for coupling galileons and Dirac-Born-Infeld (DBI) scalar fields to a massive graviton while retaining both the non-linear symmetries of the scalars and ghost-freedom of the theory. The general construction…

High Energy Physics - Theory · Physics 2014-08-06 Garrett Goon , A. Emir Gumrukcuoglu , Kurt Hinterbichler , Shinji Mukohyama , Mark Trodden

We investigate some fundamental features of a class of non-linear relativistic lagrangian field theories with kinetic self-coupling. We focus our attention upon theories admitting static, spherically symmetric solutions in three space…

High Energy Physics - Theory · Physics 2008-11-26 Joaquin Diaz-Alonso , Diego Rubiera-Garcia

We find classically stable solitons (instantons) in odd (even) dimensional scalar noncommutative field theories whose scalar potential, $V(\ph)$, has at least two minima. These solutions are bubbles of the false vacuum whose size is set by…

High Energy Physics - Theory · Physics 2009-10-31 Rajesh Gopakumar , Shiraz Minwalla , Andrew Strominger

A commutative generalization of the gauge symmetry group is proposed. The two-parametric family of two-connected abelian Lie groups is obtained. The necessity of existence of so-called imaginary charges and electromagnetic fields with…

High Energy Physics - Theory · Physics 2010-11-05 Nikolay P. Tretyakov , Alexandre Ya. Terletsky

We use ideas on integrability in higher dimensions to define Lorentz invariant field theories with an infinite number of local conserved currents. The models considered have a two dimensional target space. Requiring the existence of…

High Energy Physics - Theory · Physics 2009-11-07 O. Babelon , L. A. Ferreira

We initiate the systematic construction of gauged matter-coupled supergravity theories in two dimensions. Subgroups of the affine global symmetry group of toroidally compactified supergravity can be gauged by coupling vector fields with…

High Energy Physics - Theory · Physics 2008-11-26 Henning Samtleben , Martin Weidner

Sine-Gordon model with variable mass (VMSG) appears in many physical systems, ranging from the current through nonuniform Josephson junction to DNA-promoter dynamics. Such models are usually nonintegrable with solutions found numerically or…

High Energy Physics - Theory · Physics 2016-09-06 Anjan Kundu

We introduce a model designed to describe charged particles as stable topological solitons of a field with values on the internal space S^3. These solitons behave like particles with relativistic properties like Lorentz contraction and…

High Energy Physics - Theory · Physics 2009-09-25 Manfried Faber

We consider stationary axially symmetric black holes in SU(2) Einstein-Yang-Mills-dilaton theory. We present a mass formula for these stationary non-Abelian black holes, which also holds for Abelian black holes. The presence of the dilaton…

High Energy Physics - Theory · Physics 2010-11-19 B. Kleihaus , J. Kunz , F. Navarro-Lerida

Non-Abelian vortices in six spacetime dimensions are obtained for a supersymmetric U(N) gauge theory with N hypermultiplets in the fundamental representation. Massless (moduli) fields are identified and classified into Nambu-Goldstone and…

High Energy Physics - Theory · Physics 2014-11-18 Minoru Eto , Muneto Nitta , Norisuke Sakai

Static spherically symmetric asymptotically flat solutions to the U(1) Born-Infeld theory coupled to gravity and to a dilaton are investigated. The dilaton enters in such a way that the theory is $SL(2,R)$- symmetric for a unit value of the…

High Energy Physics - Theory · Physics 2009-10-31 Gerard Clement , Dmitri Gal'tsov

We point out that there exists a generalization of instanton symmmetry in the Coulomb phase of 5d nonabelian gauge theories which is capable of measuring a wider class of topological charges of monopole strings. The symmetry is invertible…

High Energy Physics - Theory · Physics 2025-10-29 Aiden Sheckler

Integrability, one of the classic issues in galactic dynamics and in general in celestial mechanics, is here revisited in a Riemannian geometric framework, where newtonian motions are seen as geodesics of suitable ``mechanical'' manifolds.…

Astrophysics · Physics 2023-07-19 Cecilia Clementi , Marco Pettini

Recently, a class of non-Lorentzian supersymmetric Lagrangian field theories was considered, in some cases describing M-theory brane configurations, but more generally found as fixed points of non-Lorentzian RG flows induced upon Lorentzian…

High Energy Physics - Theory · Physics 2021-05-07 Rishi Mouland