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Abelian Duality for Generalized Maxwell Theories
We describe a construction of generalized Maxwell theories – higher analogues of abelian gauge theories – in the factorization algebra formalism of...
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Classification of String Solutions for the Self-Dual Einstein–Maxwell–Higgs Model
In this paper, we are concerned with an elliptic system arising from the Einstein–Maxwell–Higgs model which describes electromagnetic dynamics...
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Integrable (2k)-Dimensional Hitchin Equations
This letter describes a completely integrable system of Yang–Mills–Higgs equations which generalizes the Hitchin equations on a Riemann surface to...
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The Corolla Polynomial for Spontaneously Broken Gauge Theories
In Kreimer and Yeats (Electr. J. Comb. 41–41,
2013 ), Kreimer et al. (Annals Phys. 336, 180–222,2013 ) and Sars (2015 ) the Corolla Polynomial... -
Twisted Spectral Triple for the Standard Model and Spontaneous Breaking of the Grand Symmetry
Grand symmetry models in noncommutative geometry, characterized by a non-trivial action of functions on spinors, have been introduced to generate...
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On Twisted N = 2 5D Super Yang–Mills Theory
On a five-dimensional simply connected Sasaki–Einstein manifold, one can construct Yang–Mills theories coupled to matter with at least two...
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Octonions, Monopoles, and Knots
Witten’s approach to Khovanov homology of knots is based on the five-dimensional system of partial differential equations, which we call...
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Covariant Axial Gauge
We consider abelian gauge theories on a lattice and develop properties of an axial gauge that is covariant under lattice symmetries. Particular...
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Homotopy Colimits and Global Observables in Abelian Gauge Theory
We study chain complexes of field configurations and observables for Abelian gauge theory on contractible manifolds, and show that they can be...
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The Schwinger Model on S 1: Hamiltonian Formulation, Vacuum and Anomaly
We present a Hamiltonian formulation of the Schwinger model with spatial domain taken to be the circle. It is shown that, in Coulomb gauge, the...
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\({\mathcal{N} = 2}\) Quiver Gauge Theories on A-type ALE Spaces
We survey and compare recent approaches to the computation of the partition functions and correlators of chiral BPS observables in
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One-Dimensional Structures Behind Twisted and Untwisted SuperYang–Mills Theory
We give a one-dimensional interpretation of the four-dimensional twisted N = 1 superYang–Mills theory on a Kähler manifold by performing an...
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Review of AdS/CFT Integrability: An Overview
This is the introductory chapter of a review collection on integrability in the context of the AdS/CFT correspondence. In the collection, we present...
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Review of AdS/CFT Integrability, Chapter I.3: Long-Range Spin Chains
In this contribution, we review long-range integrable spin chains that originate from the recently discovered integrability in the planar AdS/CFT...
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Review of AdS/CFT Integrability, Chapter V.1: Scattering Amplitudes: A Brief Introduction
We review current efficient techniques for the construction of multi-leg and multi-loop on-shell scattering amplitudes in supersymmetric gauge...