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We consider an arbitrary U(1) charged matter non-minimally coupled to the self-dual field in $d=2+1$. The coupling includes a linear and a rather general quadratic term in the self-dual field. By using both a Lagragian gauge embedding and a…

High Energy Physics - Theory · Physics 2008-11-26 D. Dalmazi

We describe a novel duality symmetry of Phi(4)-theory defined on noncommutative Euclidean space and with noncommuting momentum coordinates. This duality acts on the fields by Fourier transformation and scaling. It is an extension, to…

High Energy Physics - Theory · Physics 2008-11-26 Edwin Langmann , Richard J. Szabo

We investigate the $\mathcal{N} = 2$ supersymmetric generalization of the dual equivalence between the Maxwell-Chern-Simons model and two massive self-dual models. One of the self-dual models is described by a real scalar superfield, while…

High Energy Physics - Theory · Physics 2025-07-16 F. S. Gama , J. R. Nascimento , A. Yu. Petrov , P. J. Porfirio

Within the superfield approach, we consider the duality between the supersymmetric Maxwell-Chern-Simons and self-dual theories in three spacetime dimensions. Using a gauge embedding method, we construct the dual theory to the self-dual…

High Energy Physics - Theory · Physics 2008-11-26 A. F. Ferrari , M. Gomes , J. R. S. Nascimento , A. Yu. Petrov , A. J. da Silva

We consider a general class of non-local MCS models whose usual minimal coupling to a conserved current is supplemented with a (non-minimal) magnetic Pauli-type coupling. We find that the considered models exhibit a self-duality whenever…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 F. Chandelier , Y. Georgelin , T. Masson , J. -C. Wallet

We develop a systematic method of obtaining duality symmetric actions in different dimensions. This technique is applied for the quantum mechanical harmonic oscillator, the scalar field theory in two dimensions and the Maxwell theory in…

High Energy Physics - Theory · Physics 2007-05-23 R. Banerjee , C. Wotzasek

We show how classical and quantum dualities, as well as duality relations that appear only in a sector of certain theories ("emergent dualities"), can be unveiled, and systematically established. Our method relies on the use of morphisms of…

Statistical Mechanics · Physics 2013-01-16 E. Cobanera , G. Ortiz , Z. Nussinov

Using examples of a D=2 chiral scalar and a duality-symmetric formulation of D=4 Maxwell theory we study duality properties of actions for describing chiral bosons. In particular, in the D=4 case, upon performing a duality transform of an…

High Energy Physics - Theory · Physics 2009-10-31 Alexey Maznytsia , Christian Preitschopf , Dmitri Sorokin

We study the duality of the supersymmetric self-dual and Maxwell-Chern-Simons theories coupled to a fermionic matter superfield, using a master action. This approach evades the difficulties inherent to the quartic couplings that appear when…

High Energy Physics - Theory · Physics 2014-11-18 A. F. Ferrari , M. Gomes , A. C. Lehum , J. R. Nascimento , A. Yu. Petrov , A. J. da Silva

The possibility of dual equivalence between the self-dual and the Maxwell-Chern-Simons (MCS) models when the latter is coupled to dynamical, U(1) fermionic charged matter is examined. The proper coupling in the self-dual model is then…

High Energy Physics - Theory · Physics 2009-11-11 M. S. Guimarães , T. Mariz , R. Menezes , C. Wotzasek

Applying a master action technique we obtain the dual of the noncommutative Maxwell-Chern-Simons theory. The equivalence between the Maxwell-Chern-Simons theory and the self-dual model in commutative space-time does not survive in the…

High Energy Physics - Theory · Physics 2009-09-29 Victor O. Rivelles

For D=4 theories of a single U(1) gauge field strength coupled to gravity and matters, we show that the electric-magnetic duality can be formulated as an invariance of the actions. The symmetry is associated with duality rotation acting…

High Energy Physics - Theory · Physics 2009-10-31 Yuji Igarashi , Katsumi Itoh , Kiyoshi Kamimura

Equivalence of partition functions for U(1) gauge theory and its dual in appropriate phase spaces is established in terms of constrained hamiltonian formalism of their parent action. Relations between the electric--magnetic duality…

High Energy Physics - Theory · Physics 2008-11-26 O. F. Dayi , B. Yapiskan

Working within the path-integral framework we first establish a duality between the partion functions of two $U(1)$ gauge theories with a theta term in $d=4$ space-time dimensions. Then, after a dimensional reduction to $d=3$ dimensions we…

High Energy Physics - Theory · Physics 2021-09-22 Enrique F. Moreno , Fidel A. Schaposnik

An analysis of the path-integral approach to quantum theory motivates the hypothesis that two experiments with the same classical action should have dual ontological descriptions. If correct, this hypothesis would not only constrain…

Quantum Physics · Physics 2011-08-04 K. B. Wharton , D. J. Miller , Huw Price

Superstring field theory was recently used to derive a four-dimensional Maxwell action with manifest duality. This action is related to the McClain-Wu-Yu Hamiltonian and can be locally coupled to electric and magnetic sources. In this…

High Energy Physics - Theory · Physics 2009-10-30 Nathan Berkovits

We find that point particles interacting with a self-dual Yang-Mills field and self-dual gravity manifestly satisfy color-kinematics duality at the level of action. In a similar way color-kinematics duality also holds for a scalar field…

High Energy Physics - Theory · Physics 2024-04-23 Vyacheslav Ivanovskiy , Dmitry Ponomarev

The concept of duality reflects a link between two seemingly different physical objects. An example in quantum mechanics is a situation where the spectra (or their parts) of two Hamiltonians go into each other under a certain…

Mathematical Physics · Physics 2019-09-05 Michael Kreshchuk , Tobias Gulden

Parent actions for component fields are utilized to derive the dual of supersymmetric U(1) gauge theory in 4 dimensions. Generalization of the Seiberg-Witten map to the component fields of noncommutative supersymmetric U(1) gauge theory is…

High Energy Physics - Theory · Physics 2009-11-10 O. F. Dayi , K. Ulker , B. Yapiskan

This work aims to investigate the classical-level duality between the $SIM(1)$-Maxwell-Chern-Simons (MCS) model and its self-dual counterpart. Initially, our focus is on free-field cases to establish equivalence through two distinct…

High Energy Physics - Theory · Physics 2023-12-04 Fernando M. Belchior , Roberto V. Maluf
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