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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

A class of globally scale-invariant scalar-tensor theories have been proposed to be invariant under a larger class of transformations that take the form of local Weyl transformations supplemented by a restriction that the conformal factor…

High Energy Physics - Theory · Physics 2024-12-16 Dražen Glavan , Ruggero Noris , Tom Zlosnik

Microscopic symmetries impose strong constraints on the elasticity of a crystalline solid. In addition to the usual spatial symmetries captured by the tensorial character of the elastic tensor, hidden non-spatial symmetries can occur…

Soft Condensed Matter · Physics 2020-06-19 Michel Fruchart , Vincenzo Vitelli

In this paper we apply the Sen formalism, which is originally developed for chiral form fields, to construct non-linear $SL(2,\mathbb{R})$ duality-symmetric actions in four dimensions. The non-linear actions contain a potential term whose…

High Energy Physics - Theory · Physics 2025-10-01 Pichet Vanichchapongjaroen

Aimed to a deeper comprehension of a manifestly T-dual invariant formulation of string theory, in this paper a detailed comparison between the non-covariant action proposed by Tseytlin and the covariant one proposed by Hull is done. These…

High Energy Physics - Theory · Physics 2014-07-14 Luca De Angelis , S. J. Gabriele Gionti , Raffaele Marotta , Franco Pezzella

A covariant simultaneous action for branes in an arbitrary curved background spacetime is considered. The action depends on a pair of independent field variables, the brane embedding functions, through the canonical momentum of a…

High Energy Physics - Theory · Physics 2019-09-24 Riccardo Capovilla , Giovany Cruz

We derive a manifestly duality-symmetric formulation of the action principle for conformal gravity linearized around Minkowski space-time. The analysis is performed in the Hamiltonian formulation, the fourth-order character of the equations…

High Energy Physics - Theory · Physics 2021-05-26 Hapé Fuhri Snethlage , Sergio Hörtner

For the free massless spin-one and spin-two field theories one may write the action in a form which is manifestly invariant under electric-magnetic duality. This is achieved by introducing new potentials through solving the constraints of…

High Energy Physics - Theory · Physics 2015-06-05 Claudio Bunster , Marc Henneaux

In the context of scalar quantum field theory we introduce a class of generically nonlinear quantum-background splits for which the splitting Ward identity, encoding the single field dependence in the effective action, can be solved…

High Energy Physics - Theory · Physics 2017-10-11 Mahmoud Safari , Gian Paolo Vacca

Motivated by a recent progress in studying the duality-symmetric models of nonlinear electrodynamics, we revert to the auxiliary tensorial (bispinor) field formulation of the O(2) duality proposed by us in arXiv:hep-th/0110074,…

High Energy Physics - Theory · Physics 2013-06-04 E. A. Ivanov , B. M. Zupnik

We re-examine various issues surrounding the definition of twisted quantum field theories on flat noncommutative spaces. We propose an interpretation based on nonlocal commutative field redefinitions which clarifies previously observed…

High Energy Physics - Theory · Physics 2008-11-26 Mauro Riccardi , Richard J. Szabo

We prove that a scalar quantum field theory defined on noncommutative Minkowski spacetime with noncommuting momentum coordinates is covariant with respect to the UV/IR duality which exchanges coordinates and momenta. The proof is based on…

High Energy Physics - Theory · Physics 2009-02-18 Andre Fischer , Richard J. Szabo

It is often claimed [PST1] that the (Hodge type) duality operation is defined only in even dimensional spacetimes and that self-duality is further restricted to twice-odd dimensional spacetime theories. The purpose of this paper is to…

High Energy Physics - Theory · Physics 2014-11-18 M. Botta Cantcheff

We introduce a master action in noncommutative space, out of which we obtain the action of the noncommutative Maxwell-Chern-Simons theory. Then, we look for the corresponding dual theory at both first and second orders in the noncommutative…

High Energy Physics - Theory · Physics 2009-11-10 M. Botta Cantcheff , Pablo Minces

The doubled formulation of string theory, which is T-duality covariant and enlarges spacetime with extra coordinates conjugate to winding number, is reformulated and its geometric and topological features examined. It is used to formulate…

High Energy Physics - Theory · Physics 2008-11-26 C M Hull

We demonstrate how a Lorentz covariant formulation of the chiral p-form model in D=2(p+1) containing infinitely many auxiliary fields is related to a Lorentz covariant formulation with only one auxiliary scalar field entering a chiral…

High Energy Physics - Theory · Physics 2009-10-30 Paolo Pasti , Dmitri Sorokin , Mario Tonin

We elaborate on the duality-symmetric nonlinear electrodynamics in a new formulation with auxiliary tensor fields. The Maxwell field strength appears only in bilinear terms of the corresponding generic Lagrangian, while the self-interaction…

High Energy Physics - Theory · Physics 2009-11-10 E. A. Ivanov , B. M. Zupnik

We develop a formalism that allows us to write actions for multiple D-branes with manifest general covariance. While the matrix coordinates of the D-branes have a complicated transformation law under coordinate transformations, we find that…

High Energy Physics - Theory · Physics 2009-11-10 Dominic Brecher , Kazuyuki Furuuchi , Henry Ling , Mark Van Raamsdonk

We show that the connection between partial breaking of supersymmetry and nonlinear actions is not accidental and has to do with constraints that lead directly to nonlinear actions of the Born-Infeld type. We develop a constrained…

High Energy Physics - Theory · Physics 2009-09-17 M. Rocek , A. A. Tseytlin

We introduce a new class of duality symmetries amongst quantum field theories. The new class is based upon global spacetime symmetries, such as Poincare invariance and supersymmetry, in the same way as the existing duality transformations…

High Energy Physics - Theory · Physics 2016-09-06 C. P. Burgess , M. T. Grisaru , M. Kamela , M. E. Knutt-Wehlau , P. Page , F. Quevedo , M. Zebarjad