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We show that the partition function of free Maxwell theory on a generic Euclidean four-manifold transforms in a non-trivial way under electric-magnetic duality. The classical part of the partition sum can be mapped onto the genus-one…

高能物理 - 理论 · 物理学 2008-11-26 Erik Verlinde

By dimensional reduction of a self dual p-form theory on some compact space, we determine the duality generators of the gauge theory in 4 dimensions. In this picture duality is seen as a consequence of the geometry of the compact space. We…

高能物理 - 理论 · 物理学 2009-10-30 D. S. Berman

We show that the duality between the self-dual and Maxwell-Chern-Simons theories in 2+1-dimensions survives when the space-time becomes noncommutative. Existence of the Seiberg-Witten map is crucial in the present analysis. It should be…

高能物理 - 理论 · 物理学 2009-11-07 Subir Ghosh

Generalizations of GL(n) abelian Toda and $\widetilde{GL}(n)$ abelian affine Toda field theories to the noncommutative plane are constructed. Our proposal relies on the noncommutative extension of a zero-curvature condition satisfied by…

高能物理 - 理论 · 物理学 2009-11-11 I. Cabrera-Carnero

We elaborate on a new representation of Lagrangians of 4D nonlinear electrodynamics including the Born-Infeld theory as a particular case. In this new formulation, in parallel with the standard Maxwell field strength $F_{\alpha\beta},…

高能物理 - 理论 · 物理学 2007-05-23 E. A. Ivanov , B. M. Zupnik

One may write the Maxwell equations in terms of two gauge potentials, one electric and one magnetic, by demanding that their field strengths should be dual to each other. This requirement is the condition of twisted self-duality. It can be…

高能物理 - 理论 · 物理学 2011-07-01 Claudio Bunster , Marc Henneaux

For the SL(2,\textbf{R}) duality-invariant generalization of Maxwell electrodynamics in the presence of both electric and magnetic sources, we formulate a local, manifestly duality-symmetric, Zwanziger-type action by introducing a pair of…

高能物理 - 理论 · 物理学 2015-06-16 Choonkyu Lee , Hyunsoo Min

We study three approaches to electric-magnetic duality in the 4-dimensional Maxwell theory coupled to a dyonic point charge and in the 5-dimensional Maxwell-Chern-Simons (MCS) theory coupled to an electric point charge and a magnetic string…

高能物理 - 理论 · 物理学 2024-06-25 Hannes Malcha

The PT-symmetry breaking, consistent hamiltonian interactions in all $n\geq 4$ spacetime dimensions that can be added to an abelian BF model involving a set of scalar fields, two sorts of one-forms, and a system of two-forms are obtained by…

高能物理 - 理论 · 物理学 2008-11-26 E. M. Cioroianu , S. C. Sararu

In the framework of superfield formalism, we demonstrate the existence of a new local, covariant, continuous and nilpotent (dual-BRST) symmetry for the BRST invariant Lagrangian density of a self-interacting two ($1 + 1$)-dimensional (2D)…

高能物理 - 理论 · 物理学 2011-07-19 R. P. Malik

We prove that a sum of free non-covariant duality-symmetric actions does not allow consistent, continuous and local self-interactions that deform the gauge transformations. For instance, non-Abelian deformations are not allowed, even in 4…

高能物理 - 理论 · 物理学 2009-11-07 Xavier Bekaert , Sorin Cucu

We consider a space-time invariant duality symmetric action for a free Maxwell field and an $SL(2,{\bf R})\times SO(6,22)$ invariant effective action describing a low-energy bosonic sector of the heterotic string compactified on a…

高能物理 - 理论 · 物理学 2016-08-24 Paolo Pasti , Dmitrij Sorokin , Mario Tonin

We study duality transformation and duality symmetry in the the electromagnetic-like charged p-form theories. It is shown that the dichotomic characterization of duality groups as $Z_2$ or SO(2) remains as the only possibilities but are now…

高能物理 - 理论 · 物理学 2009-11-10 Roberto Menezes , Clovis Wotzasek

In this work, we study (anti-)self duality conditions in unconventional conformal supersymmetry. We focus on a theory constructed in a Townsend-MacDowell-Mansouri form for an $SU(2,2|N)$ gauge connection with matter fields in the adjoint…

高能物理 - 理论 · 物理学 2024-01-17 Pedro D. Alvarez , Cristóbal Corral , Jorge Zanelli

Electric-magnetic duality and higher dimensional analogues are obtained as symmetries in generalized coset constructions, similar to the axial-vector duality of two dimensional coset models described by Rocek and Verlinde. We also study…

高能物理 - 理论 · 物理学 2009-10-28 J. L. F. Barbon

We provide the geometrical interpretation for the Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry invariance of the Lagrangian density of a four (3 + 1)-dimensional (4D) interacting U(1) gauge theory within the framework of…

高能物理 - 理论 · 物理学 2011-11-18 R. P. Malik

We establish self-duality of super D3-brane theory as an exact symmetry of the action both in the Lagrangian and Hamiltonian formalism. In the Lagrangian formalism, the action is shown to satisfy the Gaillard-Zumino condition. This…

高能物理 - 理论 · 物理学 2009-10-31 Yuji Igarashi , Katsumi Itoh , Kiyoshi Kamimura

Using the wave equation in d > or = 1 space dimensions it is illustrated how dynamical equations may be simultaneously Poincar\'e and Galileo covariant with respect to different sets of independent variables. This provides a method to…

经典物理 · 物理学 2014-11-14 Peter Holland

We find a universal SO(2) symmetry of a p-form Maxwell theory for both odd and even p. For odd p it corresponds to the duality rotations but for even p it defines a new set of transformations which is not related to duality rotations. In…

高能物理 - 理论 · 物理学 2007-05-23 D. Chruscinski

We present a first-principles derivation of the variational equations describing the dynamics of the interaction of a spatial soliton and a surface plasmon polariton (SPP) propagating along a metal/dielectric interface. The variational…

斑图形成与孤子 · 物理学 2015-06-12 A. Ferrando , C. Milián , D. V. Skryabin