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The correlation functions of a two-dimensional rational conformal field theory, for an arbitrary number of bulk and boundary fields and arbitrary world sheets can be expressed in terms of Wilson graphs in appropriate three-manifolds. We…

High Energy Physics - Theory · Physics 2007-05-23 C. Schweigert , J. Fuchs

We review equivalent formulations of nonlinear and higher derivatives theories of electromagnetism exhibiting electric-magnetic duality rotations symmetry. We study in particular on shell and off shell formulations of this symmetry, at the…

High Energy Physics - Theory · Physics 2015-06-17 Paolo Aschieri , Sergio Ferrara , Stefan Theisen

We show that the partition function of free Maxwell theory on a generic Euclidean four-manifold transforms in a non-trivial way under electric-magnetic duality. The classical part of the partition sum can be mapped onto the genus-one…

High Energy Physics - Theory · Physics 2008-11-26 Erik Verlinde

In this Letter we study interacting systems with spontaneous discrete symmetry breaking, where the degenerate symmetry-broken states are topologically distinct gapped phases. Edge modes appear at domain walls between the two topological…

Mesoscale and Nanoscale Physics · Physics 2022-04-15 Gal Shavit , Yuval Oreg

We study theoretically the electronic structure of topological nodal-line semimetals. We show that, in the presence of a gap-opening spatially dependent mass term that forms a domain wall, an in-gap charged localized mode emerges at the…

Mesoscale and Nanoscale Physics · Physics 2020-06-16 Akihiko Sekine , Naoto Nagaosa

We show that there is a function of one variable's worth of Lagrangians for a single Maxwell field coupled to gravity whose equations of motion admit electric-magnetic duality. Such Lagrangians are given by solutions of the Hamilton-Jacobi…

High Energy Physics - Theory · Physics 2009-10-07 G W Gibbons , D A Rasheed

This work studies the connection of the global properties of the SM gauge group to 1-form discrete symmetries, the possible non-Abelian embeddings of the SM group, and electric and magnetic charge quantisation. Building on previous work, we…

High Energy Physics - Phenomenology · Physics 2025-07-03 Rodrigo Alonso , Despoina Dimakou , Yunji Ha , Valentin V. Khoze

In this paper, we study the logarithmic terms in the partition functions of CFTs with boundaries (BCFTs). In three dimensions, their coefficients give the boundary central charges, which are conjectured to be monotonically decreasing…

High Energy Physics - Theory · Physics 2015-06-05 Masahiro Nozaki , Tadashi Takayanagi , Tomonori Ugajin

Electric-magnetic duality ($S$-duality) is a well-known property of pure $u(1)$ gauge theory in 3+1 dimensions. In this paper, we investigate the compatibility of this duality with time-reversal symmetry. We consider two theories obtained…

High Energy Physics - Theory · Physics 2015-10-21 Max A. Metlitski

We study electric-magnetic duality rotations for noncommutative electromagnetism (NCEM). We express NCEM as a nonlinear commutative U(1) gauge theory and show that it is self-dual when the noncommutativity parameter \theta is light-like…

High Energy Physics - Theory · Physics 2009-11-07 Paolo Aschieri

We develop the Dirac-Schwinger-Zwanziger (DSZ) quantization of classical abelian gauge theories with general duality structure on oriented Lorentzian four-manifolds $(M,g)$ of arbitrary topology, obtaining, as a result, the…

Differential Geometry · Mathematics 2021-01-19 C. Lazaroiu , C. S. Shahbazi

In this note, we consider how the bundle geometry of field space interplays with the covariant phase space methods so as to allow to write results of some generality on the presymplectic structure of invariant gauge theories coupled to…

Mathematical Physics · Physics 2022-01-05 Jordan François , Noémie Parrini , Nicolas Boulanger

In these lectures we give a geometrical formulation of N-extended supergravities which generalizes N=2 special geometry of N=2 theories. In all these theories duality symmetries are related to the notion of "flat symplectic bundles" and…

High Energy Physics - Theory · Physics 2016-10-26 L. Andrianopoli , R. D'Auria , S. Ferrara

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…

Cosmology and Nongalactic Astrophysics · Physics 2010-04-29 Massimo Giovannini

We extend the holographic duality between 3d pure gravity and the 2d Ising CFT proposed in [Phys. Rev. D 85 (2012) 024032] to CFTs with boundaries. Besides the usual asymptotic boundary, the dual bulk spacetime now has a real cutoff, on…

High Energy Physics - Theory · Physics 2021-06-08 Andreas Karch , Zhu-Xi Luo , Hao-Yu Sun

Magnetic monopoles in Yang-Mills-Higgs theory with a non-abelian unbroken gauge group are classified by holomorphic charges in addition to the topological charges familiar from the abelian case. As a result the moduli spaces of monopoles of…

High Energy Physics - Theory · Physics 2009-10-30 F. A. Bais , B. J. Schroers

The gravitational charge algebra of generic asymptotically locally (A)dS spacetimes is derived in $n$ dimensions. The analysis is performed in the Starobinsky/Fefferman-Graham gauge, without assuming any further boundary condition than the…

High Energy Physics - Theory · Physics 2023-01-11 Adrien Fiorucci , Romain Ruzziconi

The bulk-boundary correspondence relates topologically-protected edge modes to bulk topological invariants, and is well-understood for short-range free-fermion chains. Although case studies have considered long-range Hamiltonians whose…

Strongly Correlated Electrons · Physics 2023-12-21 Nick G. Jones , Ryan Thorngren , Ruben Verresen

We study the duality of quasilocal energy and charges with non-orthogonal boundaries in the (2+1)-dimensional low-energy string theory. Quasilocal quantities shown in the previous work and some new variables arisen from considering the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Sung-Won Kim , Won Tae Kim , John J. Oh , Ki-Hyuk Yee

We study three approaches to electric-magnetic duality in the 4-dimensional Maxwell theory coupled to a dyonic point charge and in the 5-dimensional Maxwell-Chern-Simons (MCS) theory coupled to an electric point charge and a magnetic string…

High Energy Physics - Theory · Physics 2024-06-25 Hannes Malcha