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We examine interacting Abelian theories at low energies and show that holomorphically normalized photon helicity amplitudes transform into dual amplitudes under SL(2,Z) as modular forms with weights that depend on the number of positive and…

High Energy Physics - Theory · Physics 2016-04-20 Kitran Colwell , John Terning

In this letter we implement a recently proposed {\it spacetime duality} approach to dualize a two dimensional, Abelian, gauge field theory, which has no dual version under $p$--duality. Our result suggests that spacetime duality spans a…

High Energy Physics - Theory · Physics 2009-10-31 A. Smailagic , E. Spallucci

1. Why we do Believe in the Standard Model 2. Why we do not Believe in the Standard Model 2.1 Conceptual Problems 2.2 Hints from Experiment 2.2.1 Unification of Couplings 2.2.2 Dark Matter 2.2.3 Neutrino Masses 2.2.4 Baryogenesis 3. Status…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. Altarelli

There have been thousands of cosmological models for our early universe proposed in the literature, and many of them claimed to be able to give rise to scale-invariant power spectrum as was favored by the observational data. It is thus…

General Relativity and Quantum Cosmology · Physics 2021-09-15 Jiaming Shi , Zheng Fang , Taotao Qiu

We analyze the Coulomb phase of theories of $N=2$ SQCD with $SU(N_c)$ gauge groups which are conjectured to have exact electric-magnetic duality. We discuss the duality transformation of the particle spectrum, emphasizing the differences…

High Energy Physics - Theory · Physics 2009-09-29 Ofer Aharony , Shimon Yankielowicz

We develop a systematic framework for studying target space duality at the classical level. We show that target space duality between manifolds M and Mtilde arises because of the existence of a very special symplectic manifold. This…

High Energy Physics - Theory · Physics 2009-10-31 Orlando Alvarez

We study the equivalence/duality between various non-commutative gauge models at the classical and quantum level. The duality is realised by a linear Seiberg-Witten-like map. The infinitesimal form of this map is analysed in more details.

High Energy Physics - Theory · Physics 2007-05-23 Elias Kiritsis , Corneliu Sochichiu

The Standard Model is the paradigm of particle physics which gives an accurate theory for fundamental particle interactions. However, the extension of Standard Model with higher-order derivatives is not a well-studied subject. This paper is…

General Physics · Physics 2023-07-10 B. T. T. Wong

On networks representing probability currents between states of a system, we generalize Schnakenberg's theory of nonequilibrium observables to nonsteady states, with the introduction of a new set of macroscopic observables that, for planar…

Statistical Mechanics · Physics 2015-08-19 Matteo Polettini

The more important difference between Riemann and pseudo-Riemann manifolds is the metric signature and its theoretical consequences. The practical application for Physics Theories becomes often impossible due to the signature consequences.…

Mathematical Physics · Physics 2020-01-20 Juan Mendez

Recent years have seen a renewed interest in using `edge modes' to extend the pre-symplectic structure of gauge theory on manifolds with boundaries. Here we further the investigation undertaken in \cite{FP2018} by using the formalism of…

Mathematical Physics · Physics 2021-08-05 Philippe Mathieu , Nicholas J. Teh

No positive result has been obtained on the magnetic monopoles search. This allows to consider different theoretical approaches as the proposed in this paper, developed in the framework of the Einstein General Relativity. The properties of…

High Energy Physics - Theory · Physics 2007-05-23 Juan Mendez

Invariance in duality transformation, the self-dual property, has important applications in electromagnetic engineering. In the present paper, the problem of most general linear and local boundary conditions with self-dual property is…

Classical Physics · Physics 2020-03-09 Ismo V. Lindell , Ari Sihvola

There exists a formulation of the Maxwell theory in terms of two vector potentials, one electric and one magnetic. The action is then manifestly invariant under electric-magnetic duality transformations, which are rotations in the…

High Energy Physics - Theory · Physics 2014-03-14 Claudio Bunster , Marc Henneaux

Using a BRST treatment, we show that the equivalence of General Relativity and Shape Dynamics can be extended to a theory that respects the BRST-symmetries of General Relativity as well as the ones of an extended version of Shape Dynamics.…

General Relativity and Quantum Cosmology · Physics 2012-06-22 Henrique Gomes , Tim Koslowski

We explore some of the global aspects of duality transformations in String Theory and Field Theory. We analyze in some detail the equivalence of dual models corresponding to different topologies at the level of the partition function and in…

High Energy Physics - Theory · Physics 2009-10-22 E. Alvarez , L. Alvarez-Gaume , J. L. F. Barbon , Y. Lozano

A natural construction of the logarithmic extension of the M(2,p) minimal models is presented, which generalises our previous model [0708.0802] of percolation (p=3). Its key aspect is the replacement of the minimal model irreducible modules…

High Energy Physics - Theory · Physics 2008-11-26 Pierre Mathieu , David Ridout

Use of supergravity equations in astronomy and late-universe cosmology is often criticized on three grounds: (i) phenomenological success usually depends on the supergravity form for the scalar potential applying at the relevant energies;…

High Energy Physics - Theory · Physics 2022-09-07 C. P. Burgess , F. Quevedo

A semi-classical check of the Goddard-Nuyts-Olive (GNO) generalized duality conjecture for gauge theories with adjoint Higgs fields is performed for the case where the unbroken gauge group is non-abelian. The monopole solutions of the…

High Energy Physics - Theory · Physics 2008-02-03 N. Dorey , C. Fraser , T. J. Hollowood , M. A. C. Kneipp

A definition for the entanglement entropy in both Abelian and non-Abelian gauge theories has been given in the literature, based on an extended Hilbert space construction. The result can be expressed as a sum of two terms, a classical term…

High Energy Physics - Theory · Physics 2019-08-15 Upamanyu Moitra , Ronak M Soni , Sandip P. Trivedi
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