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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

We discuss continuous duality transformations and the properties of classical theories with invariant interactions between electromagnetic fields and matter. The case of scalar fields is treated in some detail. Special discrete elements of…

High Energy Physics - Theory · Physics 2007-05-23 Mary K. Gaillard , Bruno Zumino

In general, universal (co)measuring (co)monoids and universal (co)acting bi/Hopf monoids, which prove to be a useful tool in the classification of quantum symmetries, do not always exist. In order to ensure their existence, the support of a…

Category Theory · Mathematics 2025-07-11 Ana Agore , Alexey Gordienko , Joost Vercruysse

It is shown that when the underlying sigma model of bosonic string theory is written in terms of single-valued fields, which live in the covering space of the target space, Abelian T-duality survives lattice regularization of the…

High Energy Physics - Theory · Physics 2008-11-26 Sebastian Jaimungal

It is shown that general relativity coupled to nonlinear electrodynamics (NED) with the Lagrangian $L(F)$, $F = F_mn F^mn$ having a correct weak field limit, leads to nontrivial static, spherically symmetric solutions with a globally…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Kirill A. Bronnikov

We argue that a conformally invariant extension of general relativity coupled to the Standard Model is the fundamental theory that needs to be quantized. We show that it can be treated by loop quantum gravity techniques. Through a gauge…

General Relativity and Quantum Cosmology · Physics 2017-01-24 Miguel Campiglia , Rodolfo Gambini , Jorge Pullin

We will construct a loop space formalism for general relativity, and construct the Polyakov variables as connections for such a loop space. We will use these Polyakov variables to construct a dual theory of gravity beyond linear…

General Relativity and Quantum Cosmology · Physics 2022-09-21 Salman Sajad Wani , Tsou Sheung Tsun , Mir Faizal

Topologically non trivial effects appearing in the discussion of duality transformations in higher genus manifolds are discussed in a simple example, and their relation with the properties of Topological Field Theories is established.

High Energy Physics - Theory · Physics 2008-11-26 J. Stephany

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

We revisit the question of whether classical general relativity obeys, beyond the linearised order, an analogue of the global U(1) electric-magnetic duality of Maxwell theory, with the Riemann tensor playing the role analogous to the field…

High Energy Physics - Theory · Physics 2024-05-02 Ricardo Monteiro

A simple mechanical system, the three-dimensional isotropic rigid rotator, is here investigated as a 0+1 field theory, aiming at further investigating the relation between Generalized/Double Geometry on the one hand and Doubled World-Sheet…

High Energy Physics - Theory · Physics 2018-09-26 Vincenzo Emilio Marotta , Franco Pezzella , Patrizia Vitale

We demonstrate electric-magnetic duality in N=1 supersymmetric non-Abelian gauge theories in four dimensions by presenting two different gauge theories (different gauge groups and quark representations) leading to the same non-trivial long…

High Energy Physics - Theory · Physics 2009-07-09 N. Seiberg

Effects of universal extra dimensions on Standard Model observables first arise at the one-loop level. The quantization of this class of theories is therefore essential in order to perform predictions. A comprehensive study of the Standard…

High Energy Physics - Phenomenology · Physics 2012-04-24 A. Cordero-Cid , M. Gómez-Bock , H. Novales-Sánchez , J. J. Toscano

We review recent work on holographic aspects of electric-magnetic dualities in theories that involve conformally coupled scalars and abelian gauge fields in asymptotically AdS4 spaces. Such models are relevant for the holographic…

High Energy Physics - Theory · Physics 2008-11-26 Sebastian de Haro , Anastasios C. Petkou

Non-minimally coupled Y(R)-Maxwell gravity which have some interesting solutions may be used to understand dark matter, dark energy, the origin of cosmic magnetic field and the evaluation of the universe. We give some new solutions to the…

General Relativity and Quantum Cosmology · Physics 2013-04-09 Özcan Sert

We present electric-magnetic (Hodge) duality formulation for non-Abelian gauge groups with N=1 supersymmetry in 3+1 (4D) dimensions. Our system consists of three multiplets: (i) A super-Yang-Mills vector multiplet (YMVM) $(A_\mu{}^I,…

High Energy Physics - Theory · Physics 2015-12-02 Hitoshi Nishino , Subhash Rajpoot

We discuss T-duality for open strings in general background fields both in the functional integral formulation as well as in the language of canonical transformations. The Dirichlet boundary condition in the dual theory has to be treated as…

High Energy Physics - Theory · Physics 2009-10-30 H. Dorn , H. -J. Otto

We give a global formulation of the coupling of four-dimensional scalar sigma models to Abelian gauge fields for the generalized situation when the "duality structure" of the Abelian gauge theory is described by a flat symplectic vector…

High Energy Physics - Theory · Physics 2019-12-19 C. I. Lazaroiu , C. S. Shahbazi

We introduce a doubled formalism for the bosonic sector of the maximal supergravities, in which a Hodge dual potential is introduced for each bosonic field (except for the metric). The equations of motion can then be formulated as a twisted…

High Energy Physics - Theory · Physics 2009-10-07 E. Cremmer , B. Julia , H. Lu , C. N. Pope

The existence of an interpolating master action does not guarantee the same spectrum for the interpolated dual theories. In the specific case of a generalized self-dual (GSD) model defined as the addition of the Maxwell term to the…

High Energy Physics - Theory · Physics 2010-02-03 D. Dalmazi