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The paper presents a general duality theory for vector measure spaces taking its origin in the author's papers written in the 1960s. The main result establishes a direct correspondence between the geometry of a measure in a vector space and…

Probability · Mathematics 2017-09-08 A. Vershik

We present two equivalent five-dimensional actions for six-dimensional (N,0) N=1,2 supersymmetric theories of self-dual tensor whose one spatial dimension is compactified on a circle. The Kaluza-Klein tower consists of a massless vector and…

High Energy Physics - Theory · Physics 2016-09-06 Kimyeong Lee , Jeong-Hyuck Park

We give the nonabelian extension of the newly discovered N = (2, 2) two-dimensional vector multiplets. These can be used to gauge symmetries of sigma models on generalized Kahler geometries. Starting from the transformation rule for the…

High Energy Physics - Theory · Physics 2009-02-12 Ulf Lindstrom , Martin Rocek , Itai Ryb , Rikard von Unge , Maxim Zabzine

We present an Sp(2n,R) duality invariant Born-Infeld U(1)^2n gauge theory with scalar fields. To implement this duality we had to introduce complex gauge fields and as a result the rank of the duality group is only half as large as that of…

High Energy Physics - Theory · Physics 2016-11-23 Daniel Brace , Bogdan Morariu , Bruno Zumino

We show that the particle states of Maxwell's theory, in $D$ dimensions, can be represented in an infinite number of ways by using different gauge fields. Using this result we formulate the dynamics in terms of an infinite set of duality…

High Energy Physics - Theory · Physics 2015-03-02 Nicolas Boulanger , Per Sundell , Peter West

It has been shown that, by adding an extra free field that decouples from the dynamics, one can construct actions for interacting 2n-form fields with self-dual field strengths in 4n+2 dimensions. In this paper we analyze canonical…

High Energy Physics - Theory · Physics 2020-02-19 Ashoke Sen

We propose a non-abelian higher-spin theory in two dimensions for an infinite multiplet of massive scalar fields and infinitely many topological higher-spin gauge fields together with their dilaton-like partners. The spectrum includes local…

High Energy Physics - Theory · Physics 2020-06-24 K. B. Alkalaev , Xavier Bekaert

The problem of duality symmetry in free field models is examined in details by performing a mode expansion of these fields which provides a mapping with the purely quantum mechanical example of a harmonic oscillator. By analysing the…

High Energy Physics - Theory · Physics 2007-05-23 R. Banerjee , B. Chakraborty

The derivation of the conformal anomaly for dilaton coupled electromagnetic field in curved space is presented. The models of this sort naturally appear in stringy gravity or after spherical reduction of multidimensional Einstein-Maxwell…

High Energy Physics - Theory · Physics 2009-09-17 S. Nojiri , S. D. Odintsov

The interest in higher derivatives field theories has its origin mainly in their influence concerning the renormalization properties of physical models and to remove ultraviolet divergences. In this letter we have introduced the…

High Energy Physics - Theory · Physics 2013-12-05 Everton M. C. Abreu , Rafael L. Fernandes , Jorge Ananias Neto

An ergodic action of a compact quantum group G on an operator algebra A can be interpreted as a quantum homogeneous space for G. Such an action gives rise to the category of finite equivariant Hilbert modules over A, which has a module…

Operator Algebras · Mathematics 2019-01-29 Kenny De Commer , Makoto Yamashita

We formulate a symmetry principle on the basis of the duality of electric and magnetic fields and apply it to dispersion forces. Within the context of macroscopic quantum electrodynamics, we rigorously establish duality invariance for the…

Quantum Physics · Physics 2010-01-04 Stefan Yoshi Buhmann , Stefan Scheel , Hassan Safari , Dirk-Gunnar Welsch

An obstacle to the development of direct action version of electromagnetism was that in the end it failed to fulfill its initial promise of avoiding the problem of infinite Coulomb self-energy in the Maxwell theory of the classical point…

General Physics · Physics 2008-10-30 M. Ibison

We consider Einstein-Maxwell-self-interacting scalar field theory described by a potential $V\left( \phi \right) $ in $2+1-$dimensions. The self-interaction potential is chosen to be a highly non-linear double-Liouville type. Exact…

General Relativity and Quantum Cosmology · Physics 2015-08-03 S. Habib Mazharimousavi , M. Halilsoy

Recently the duality map between electric-like asymptotic charges of $p$-form gauge theories is studied. The outcome is an existence and uniqueness theorem and the topological nature of the duality map. The goal of this work is to extend…

Mathematical Physics · Physics 2025-10-16 Federico Manzoni

An iterative Noether scheme, advocated by Deser, is used to introduce gauge invariant couplings to nonrelativistic matter with global symmetries related to usual charge conservation and dipole conservation recently discussed in fractonic…

High Energy Physics - Theory · Physics 2022-07-20 Rabin Banerjee

A fully relativistically covariant and manifestly gauge invariant formulation of classical Maxwell electrodynamics is presented, purely in terms of gauge invariant potentials without entailing any gauge fixing. We show that the…

General Physics · Physics 2020-07-09 Parthasarathi Majumdar , Anarya Ray

Maxwell's Electrodynamics admits two distinct Galilean limits called the Electric and Magnetic limits. We show that the equations of motion in both these limits are invariant under the Galilean Conformal Algebra in D=4, thereby exhibiting…

High Energy Physics - Theory · Physics 2015-06-22 Arjun Bagchi , Rudranil Basu , Aditya Mehra

We extend a recently proposed formulation of dual gravity to the case of eleven-dimensional supergravity. The supersymmetric action corresponding to this alternative formulation is given, and it is shown that it leads to a set of…

High Energy Physics - Theory · Physics 2014-11-18 Eric A. Bergshoeff , Mees de Roo , Olaf Hohm

All nonlinear extensions of the source-free Maxwell equations preserving both SO(2) electromagnetic duality invariance and conformal invariance are found, and shown to be limits of a one-parameter generalisation of Born-Infeld…

High Energy Physics - Theory · Physics 2021-01-04 Igor Bandos , Kurt Lechner , Dmitri Sorokin , Paul K. Townsend
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