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Related papers: On a gauge action on sigma model solitons

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We study D=3 field theories on the D3-branes stretched between two NS5-branes with NS B-field background. The theory is a noncommutative gauge theory. The mirror symmetry and S-duality of the theory are discussed. A new feature is that the…

High Energy Physics - Theory · Physics 2009-10-31 Nobuyoshi Ohta , Dan Tomino

We revisit and construct new examples of supersymmetric 2D topological sigma models whose target space is a Poisson supermanifold. Inspired by the AKSZ construction of topological field theories, we follow a graded-geometric approach and…

High Energy Physics - Theory · Physics 2026-01-23 Thomas Basile , Athanasios Chatzistavrakidis , Sylvain Lavau

We investigate an extension of 2D nonlinear gauge theory from the Poisson sigma model based on Lie algebroid to a model with additional two-form gauge fields. Dimensional reduction of 3D nonlinear gauge theory yields an example of such a…

High Energy Physics - Theory · Physics 2008-11-26 Noriaki Ikeda , K. -I. Izawa

This work deals with several aspects of the extension to Abelian Higgs models of the deformation method originally developed for scalar field models. We present several examples allowing to transform self-dual solutions of different…

High Energy Physics - Theory · Physics 2012-04-11 C. dos Santos , D. Rubiera-Garcia

We construct new 1/2 supersymmetric solutions in D=3, N=2, matter coupled, U(1) gauged supergravities and study some of their properties. We do this by employing a quite general supersymmetry breaking condition, from which we also redrive…

High Energy Physics - Theory · Physics 2009-11-11 Nihat Sadik Deger , Ozgur Sarioglu

We discuss the A-model as a gauge fixing of the Poisson Sigma Model with target a symplectic structure. We complete the discussion in [arXiv:0706.3164], where a gauge fixing defined by a compatible complex structure was introduced, by…

High Energy Physics - Theory · Physics 2016-11-09 Francesco Bonechi , Alberto S. Cattaneo , Riccardo Iraso

We construct various kinds of gauged noncommutative WZW models. In particular, axial gauged noncommutative U(2)/U(1) WZW model is studied and by integrating out the gauge fields, we obtain a noncommutative non-linear $\sigma$-model.

High Energy Physics - Theory · Physics 2009-11-07 A. M. Ghezelbash

In this paper we examine an alternative formulation of the gauge principle in which the emphasis is shifted from the symmetry transformations to their generators. We show that the gauge principle can be entirely reformulated in terms of…

High Energy Physics - Theory · Physics 2010-04-30 Petr Jizba , Josep Maria Pons

Kappa-Minkowski space-time is an example of noncommutative space-time with potentially interesting phenomenology. However, the construction of field theories on this space is plagued with ambiguities. We propose to resolve certain…

High Energy Physics - Theory · Physics 2015-06-03 Marija Dimitrijevic , Larisa Jonke

In this brief note we give a superspace description of the supersymmetric nonlocal Lorentz noninvariant actions recently proposed by Cohen and Freedman. This leads us to discover similar terms for gauge fields.

High Energy Physics - Theory · Physics 2007-05-23 Ulf Lindstrom , Martin Rocek

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

A class of effective field theories for moduli or collective coordinates on solitons of generic shapes is constructed. As an illustration, we consider effective field theories living on solitons in the O(4) non-linear sigma model with…

High Energy Physics - Theory · Physics 2015-06-09 Sven Bjarke Gudnason , Muneto Nitta

We propose an action for gravity on a fuzzy sphere, based on a matrix model. We find striking similarities with an analogous model of two dimensional gravity on a noncommutative plane, i.e. the solution space of both models is spanned by…

High Energy Physics - Theory · Physics 2009-11-10 Paolo Valtancoli

We show that the infinite series in the classical action for non(anti)commutative N=2 sigma models in two dimensions, can be resummed by using constraint equations of the auxiliary fields. We argue that the resulting action takes a standard…

High Energy Physics - Theory · Physics 2009-11-11 B. Chandrasekhar

In this paper we introduce and study some mathematical structures on top of transitive Lie algebroids in order to formulate gauge theories in terms of generalized connections and their curvature: metrics, Hodge star operator and integration…

Mathematical Physics · Physics 2013-01-01 Cédric Fournel , Serge Lazzarini , Thierry Masson

These lectures deal mainly with solitons in three-dimensional Moyal-deformed sigma models. The topics are: static and moving (multi-)solitons of the (integrable) Ward sigma model, with space-space and time-space noncommutativity, their…

High Energy Physics - Theory · Physics 2017-08-23 Olaf Lechtenfeld

In this Letter the method of Lund is applied to formulate a variational principle for the motion of charged vortices in an effective non-linear Schr\"{o}dinger field theory describing finite size two-dimensional quantum Hall samples under…

High Energy Physics - Theory · Physics 2009-10-22 Theodore J. Allen

The formalism of graded Poisson-sigma models allows the construction of N=(2,2) dilaton supergravity in terms of a minimal number of fields. For the gauged chiral U(1) symmetry the full action, involving all fermionic contributions, is…

High Energy Physics - Theory · Physics 2011-09-13 L. Bergamin , W. Kummer

Systems under holonomic constraints are classified within the generalized Hamiltonian framework as second-class constraints systems. We show that each system of point particles with holonomic constraints has a hidden gauge symmetry which…

High Energy Physics - Theory · Physics 2009-11-10 M. I. Krivoruchenko , Amand Faessler , A. A. Raduta , C. Fuchs

We present a gauge invariant action for a superstring in the plane wave background with Ramond-Ramond (RR) five-form flux. The Wess-Zumino term is given explicitly in a bilinear form of the left invariant currents by introducing a fermionic…

High Energy Physics - Theory · Physics 2009-11-07 Machiko Hatsuda , Kiyoshi Kamimura , Makoto Sakaguchi