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Geometric Langlands duality is usually formulated as a statement about Riemann surfaces, but it can be naturally understood as a consequence of electric-magnetic duality of four-dimensional gauge theory. This duality in turn is naturally…

高能物理 - 理论 · 物理学 2009-05-22 Edward Witten

In these lectures I review the general structure of electric--magnetic duality rotations in every even space--time dimension. In four dimensions, which is my main concern, I discuss the general issue of symplectic covariance and how it…

高能物理 - 理论 · 物理学 2025-03-12 Pietro Fré

The scope of this Ph.D thesis is to study the effects of the presence of a boundary from a Quantum Field Theoretical perspective, searching for new physics and explanations of observed phenomena. In particular, thanks to the formal QFT…

高能物理 - 理论 · 物理学 2025-07-23 Erica Bertolini

Using the ``composite harmonic mapping method," we construct exact solutions for cylindrically symmetric gravitational and electromagnetic waves within the Einstein-Maxwell system, focusing on the conversion dynamics between these types of…

广义相对论与量子宇宙学 · 物理学 2024-05-08 Takashi Mishima , Shinya Tomizawa

In this paper, we study the \texttt{Ehlers' transformation} (sometimes called gravitational duality rotation) for \texttt{reciprocal} static metrics. First we introduce the concept of reciprocal metric. We prove a theorem which shows how we…

广义相对论与量子宇宙学 · 物理学 2018-10-09 Davood Momeni , Surajit Chattopadhyay , Ratbay Myrzakulov

We study the boundary theory of the $\mathbb{Z}_N$ X-cube model using a continuum perspective, from which the exchange statistics of a subset of bulk excitations can be recovered. We discuss various gapped boundary conditions that either…

强关联电子 · 物理学 2022-11-23 Zhu-Xi Luo , Ryan C. Spieler , Hao-Yu Sun , Andreas Karch

We investigate the duality structure of quantum lattice systems with topological order, a collective order also appearing in fractional quantum Hall systems. We define electromagnetic (EM) duality for all of Kitaev's quantum double models…

强关联电子 · 物理学 2013-10-09 Oliver Buerschaper , Matthias Christandl , Liang Kong , Miguel Aguado

In previous work arXiv:2407.13556, we proposed an extended phase space structure at null infinity accommodating large gauge symmetries for sub$^n$-leading soft theorems in Yang-Mills, via dressing fields arising in the Stueckelberg…

高能物理 - 理论 · 物理学 2026-03-26 Silvia Nagy , Javier Peraza , Giorgio Pizzolo

Duality is one of the oldest known symmetries of Maxwell equations. In recent years the significance of duality symmetry has been recognized in superstrings and high energy physics and there has been a renewed interest on the question of…

综合物理 · 物理学 2012-06-19 S. C. Tiwari

We revisit T-duality transformations for the open string via Buscher's procedure and work-out technical details which have been missing so far in the literature. We take into account non-trivial topologies of the world-sheet, we consider…

高能物理 - 理论 · 物理学 2018-09-26 Fabrizio Cordonier-Tello , Dieter Lust , Erik Plauschinn

The magnetogenesis scenarios triggered by the early variation of the gauge coupling are critically analyzed. In the absence of sources, it is shown that the electric and magnetic power spectra can be explicitly computed by means of…

宇宙学与河外天体物理 · 物理学 2010-04-29 Massimo Giovannini

Broken symmetries and electronic topology are nicely manifested together in the second order nonlinear optical responses from topologically nontrivial materials. While second order nonlinear optical effects from the electric dipole (ED)…

材料科学 · 物理学 2023-10-25 Youngjun Ahn , Xiaoyu Guo , Rui Xue , Kejian Qu , Kai Sun , David Mandrus , Liuyan Zhao

We examine the behaviour of a charged particle in a two-dimensional confining potential, in the presence of a magnetic field. The confinement serves to remove the otherwise infinite degeneracy, but additional ingredients are required to…

介观与纳米尺度物理 · 物理学 2021-10-05 Asadullah Bhuiyan , Frank Marsiglio

New aspects of the complex sine-Gordon theory are addressed through the reformulation of the theory in terms of the gauged Wess-Zumino-Witten action. A dual transformation between the theory for the coupling constant $\b > 0$ and the theory…

高能物理 - 理论 · 物理学 2015-06-26 Q-Han Park , H. J. Shin

This paper presents the transition from Classical Electrodynamics (CED) to Extended Electrodynamics (EED) from the electromagnetic duality point of view, and emphasizes the role of the canonical complex structure in ${\cal R}^2$ in, both,…

高能物理 - 理论 · 物理学 2007-05-23 Stoil Donev

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…

高能物理 - 理论 · 物理学 2009-07-09 N. Seiberg

We examine three versions of non-relativistic electrodynamics, known as the electric and magnetic limit theories of Maxwell's equations and Galilean electrodynamics (GED) which is the off-shell non-relativistic limit of Maxwell plus a free…

高能物理 - 理论 · 物理学 2016-09-20 Guido Festuccia , Dennis Hansen , Jelle Hartong , Niels A. Obers

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 the reduced phase space of electromagnetism, the generator of duality rotations in the usual Poisson bracket is shown to generate Maxwell's equations in a second, much simpler Poisson bracket. This gives rise to a hierarchy of…

高能物理 - 理论 · 物理学 2009-05-12 Glenn Barnich , Cedric Troessaert

The 4D Maxwell theory with single-sided planar boundary is considered. As a consequence of the presence of the boundary, two broken Ward identities are recovered, which, on-shell, give rise to two conserved currents living on the edge. A…

高能物理 - 理论 · 物理学 2020-07-08 Erica Bertolini , Nicola Maggiore