English
Related papers

Related papers: Issues on 3D Noncommutative Electromagnetic Dualit…

200 papers

We study four dimensional $N=2$ supersymmetric gauge theories with matter multiplets. For all such models for which the gauge group is $SU(2)$, we derive the exact metric on the moduli space of quantum vacua and the exact spectrum of the…

High Energy Physics - Theory · Physics 2010-04-07 N. Seiberg , E. Witten

In this letter we implement a recently proposed {\it spacetime duality} approach to dualize a two dimensional, Abelian, gauge field theory, which has no dual version under $p$--duality. Our result suggests that spacetime duality spans a…

High Energy Physics - Theory · Physics 2009-10-31 A. Smailagic , E. Spallucci

Topological gravity (in the sense that it is metric-independent) in a $2n$-dimensional spacetime can be formulated as a gauge field theory for the AdS gauge group $SO(2,2n-1)$ by adding a multiplet of scalar fields. These scalars can break…

High Energy Physics - Theory · Physics 2023-08-11 Marija Dimitrijević Ćirić , Dušan Đorđević , Dragoljub Gočanin , Biljana Nikolić , Voja Radovanović

We incorporate the Seiberg-Witten map of noncommutative theory in the classical London theory of type-I superconductivity when an external magnetic field is applied. After defining the noncommutative Maxwell potentials, we derive the London…

High Energy Physics - Theory · Physics 2023-03-10 Daniel Martínez-Carbajal , Manuel de la Cruz , Sergio Patiño-López , Leonardo D. Herrera-Zúñiga

After reviewing briefly the classical examples of duality in four dimensional field theory we present a generalisation to arbitrary dimensions and to p-form fields. Then we explain how U-duality may become part of a larger non abelian…

High Energy Physics - Theory · Physics 2007-05-23 Bernard L. Julia

A non-vanishing vacuum expectation value for an antisymmetric tensor field leads to the violation of Lorentz invariance, controlled by the dimension (-2) parameter, theta_{mu nu}. We assume that the zeroth order term in theta-expansion…

High Energy Physics - Phenomenology · Physics 2017-08-23 Irina Mocioiu , Maxim Pospelov , Radu Roiban

We study magnetic monopoles in a Lorentz- and CPT-odd electrodynamical framework in (3+1) dimensions. This is the standard Maxwell model extended by means of a Chern-Simons-like term, $b_\mu\tilde{F}^{\mu\nu}A_\nu$ ($b_\mu$ constant), which…

High Energy Physics - Theory · Physics 2008-11-26 N. M. Barraz , J. M. Fonseca , W. A. Moura-Melo , J. A. Helayël-Neto

Classically, the dual under the Seiberg-Witten map of noncommutative U(N), {\cal N}=1 super Yang-Mills theory is a field theory with ordinary gauge symmetry whose fields carry, however, a \theta-deformed nonlinear realisation of the {\cal…

High Energy Physics - Theory · Physics 2013-05-16 C. P. Martin , C. Tamarit

We propose a double quantization of four-dimensional ${\cal N}=2$ Seiberg-Witten geometry, for all classical gauge groups and a wide variety of matter content. This can be understood as a set of certain non-perturbative Schwinger-Dyson…

High Energy Physics - Theory · Physics 2021-02-24 Nathan Haouzi , Jihwan Oh

I show that physical quantities in several two-dimensional condensed-matter models are related to the Seiberg-Witten calculation of exact quantities in supersymmetric gauge theory. In particular, the magnetization in the Kondo problem and…

High Energy Physics - Theory · Physics 2008-11-26 Paul Fendley

Recently, a D-brane construction in type IIA string theory was shown to yield the electric/magnetic duality of four dimensional N=1 supersymmetric U(N_c) gauge theories with N_f flavours of quark. We present here an extension of that…

High Energy Physics - Theory · Physics 2009-10-30 Nick Evans , Clifford V. Johnson , Alfred D. Shapere

The consistent form of the gauge anomaly is worked out at first order in $\theta$ for the noncommutative three-point function of the ordinary gauge field of certain noncommutative chiral gauge theories defined by means of the Seiberg-Witten…

High Energy Physics - Theory · Physics 2011-07-19 C. P. Martin

In this paper, we study the \texttt{Ehlers' transformation} (sometimes called gravitational duality rotation) for \texttt{reciprocal} static metrics. First we introduce the concept of reciprocal metric. We prove a theorem which shows how we…

General Relativity and Quantum Cosmology · Physics 2018-10-09 Davood Momeni , Surajit Chattopadhyay , Ratbay Myrzakulov

The gauge invariance analysis of theories described in noncommutative (NC) space-times can lead us to interesting results since noncommutativity is one of the possible paths to investigate quantum effects in classical theories such as…

High Energy Physics - Theory · Physics 2016-10-12 Everton M. C. Abreu , Jorge A. Neto , Rafael L. Fernandes , Albert C. R. Mendes

We exploit the reparametrization symmetry of a relativistic free particle to impose a gauge condition which upon quantization implies space-time noncommutativity. We show that there is an algebraic map from this gauge back to the standard…

High Energy Physics - Theory · Physics 2009-11-10 A. Pinzul , A. Stern

We introduce a class of higher-order derivative models in (2,1) space-time dimensions. The models are described by a vector field, and contain a Proca-like mass term which prevents gauge invariance. We use the gauge embedding procedure to…

High Energy Physics - Theory · Physics 2008-11-26 D. Bazeia , R. Menezes , J. R. Nascimento , R. F. Ribeiro , C. Wotzasek

We construct exact, regular and topologically non-trivial\ configurations of the coupled Einstein-nonlinear sigma model in (3+1) dimensions. The ansatz for the nonlinear $SU(2)$ field is regular everywhere and circumvents Derrick's theorem…

High Energy Physics - Theory · Physics 2017-09-13 Fabrizio Canfora , Nikolaos Dimakis , Andronikos Paliathanasis

In this paper we consider 4d $\mathrm{SU}(N)$ gauge theories with $N+1$ fundamentals, five antifundamentals and a conjugate two index antisymmetric tensor. The model has been shown to be in a mixed phase in the IR, splitting in an…

High Energy Physics - Theory · Physics 2025-12-12 Antonio Amariti , Pietro Glorioso , Chiara Mascherpa , Andrea Zanetti

In this paper I shall consider field theories in a space of four-dimensions which have field variables consisting of the components of a metric tensor and scalar field. The field equations of these scalar-tensor field theories will be…

General Relativity and Quantum Cosmology · Physics 2022-10-11 Gregory W. Horndeski

In this paper we have studied a new form of Non-Commutative (NC) phase space with an operatorial form of noncommutativity. A point particle in this space feels the effect of an interaction with an "{\it{internal}}" magnetic field, that is…

High Energy Physics - Theory · Physics 2009-11-11 Subir Ghosh