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This is the essence of particle-vortex duality. 1 Contents 1. Introduction: A Collection of Dualities 1 2. Bosonisation in d =2+1 4 2.1 Building Blocks 4 2.2 Attaching Flux to Scalars 6 2.3 Attaching Flux to Fermions 8 3. Particle-Vortex Duality 10 3.1 Bosons 10 3.2 Fermions 11 3.3 Self-Dual Theories 13 3.4 A Vortex … See more
Throughout this paper, we will work with three types of fields: complex component Dirac spinors and Abelian gauge fields. The latter fall into … See more
recycle some of our old names for gauge fields. We therefore relabel C ! a. We couple We this can to now a new play background similar games gauge to field derive which dualities … See more
With these building blocks in place, we can now describe the simple dual from which all else follows. We consider a scalar coupled to a dynamical gauge field with unit Chern … See more
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WebDualities. EM duality: E B, electric charges magnetic monopoles⇒Dirac. quantization. 2D Ising Model: Kramers-Wannier duality, high T low T, order disorder. Duality of the 3D Z2 …
Fractionalized conductivity and emergent self-duality near
WebSep 9, 2021 · The charge fractionalization of spinons is schematically illustrated. In the quantum critical fan, blue indicates a particle-like conductivity, while an unconventional …
- Author: Yan-Cheng Wang, Meng Cheng, William Witczak-Krempa, William Witczak-Krempa, Zi Yang Meng
- Publish Year: 2021
- Studies of particle vortex duality
Phys. Rev. X 6, 031043 (2016) - Particle-Vortex Duality from 3D ...
WebSep 19, 2016 · We show how particle-vortex duality in d= 2+1 dimensions arises as part of an intricate web of relationships between different field theories. The starting point is …
WebWe show how particle-vortex duality in d ¼ 2þ 1 dimensions arises as part of an intricate web of relationships between different field theories. The starting point is “bosonization,” …
[1606.01912] Particle-vortex duality in topological insulators and ...
WebJun 6, 2016 · Particle-vortex duality in topological insulators and superconductors. We investigate the origins and implications of the duality between topological insulators and …
Fundamental vortices, wall-crossing, and particle-vortex duality ...
WebMay 18, 2017 · Fundamental vortices, wall-crossing, and particle-vortex duality. Regular Article - Theoretical Physics. Open access. Published: 18 May 2017. Volume 2017, …
WebAbstract: We provide a simple derivation of particle-vortex duality in d= 2 + 1 dimensions. Our starting point is a relativistic form of flux attachment, designed to transmute the …
3d Abelian dualities with boundaries | Journal of High Energy …
WebMar 9, 2018 · We establish the action of three-dimensional bosonization and particle-vortex duality in the presence of a boundary, which supports a non-anomalous two …
Phys. Rev. B 93, 245151 (2016) - Particle-vortex duality of two ...
WebJun 27, 2016 · Abstract. Particle-vortex duality is a powerful theoretical tool that has been used to study bosonic systems. Here, we propose an analogous duality for Dirac …
WebXY model: particle-vortex duality. Subir Sachdev. Department of Physics, Harvard University, Cambridge, Massachusetts, 02138, USA. (Dated: February 7, 2018) Abstract. …
35 - Particle–Vortex Duality in Three Dimensions, Particle–String ...
WebMar 4, 2019 · Particle–vortex duality particle–string duality Poincaré duality Maxwell duality master action. Type. Chapter. Information. Classical Field Theory , pp. 330 - 337. …
(PDF) Particle-Vortex Duality from 3D Bosonization - ResearchGate
WebJune 2016. Physical Review X 6 (3) DOI: 10.1103/PhysRevX.6.031043. License. CC BY 3.0. Authors: Andreas Karch. University of Washington Seattle. David Tong. Citations (333) …
[1606.01893] Particle-Vortex Duality from 3d Bosonization
WebJun 6, 2016 · Abstract: We provide a simple derivation of particle-vortex duality in d=2+1 dimensions. Our starting point is a relativistic form of flux attachment, designed to …
Particle-Vortex Duality from 3D Bosonization - NASA/ADS
WebParticle-Vortex Duality from 3D Bosonization. Karch, Andreas. Tong, David. Abstract. We show how particle-vortex duality in d =2 +1 dimensions arises as part of an intricate …
Particle-vortex duality and the modular group: Applications to the ...
WebMar 28, 2001 · Abstract. We show how particle-vortex duality implies the existence of a large non-Abelian discrete symmetry group that relates the electromagnetic response for …
Fundamental Vortices, Wall-Crossing, and Particle-Vortex Duality
WebMar 1, 2017 · Fundamental Vortices, Wall-Crossing, and Particle-Vortex Duality. Chiung Hwang, Piljin Yi, Yutaka Yoshida. We explore 1d vortex dynamics of 3d supersymmetric …
WebParticle-vortex duality is a powerful theoretical tool that has been used to study bosonic systems. Here, we propose an analogous duality for Dirac fermions in 2+1 dimensions.
WebCharge-vortex duality for fermions L = ¯ (iµ@ µ) L v = ¯ v (iµ(@ µ ia µ)) v + 1 2e2 ( µ⌫@ ⌫ a) 2 Electron Interpret: v is a 4⇡ “vortex” in the electron. v sees (i) particle density as …
Physics - Fermionic Vortices Find their Dual
WebJun 27, 2016 · Duality is the circumstance in which cranking up interactions results in another system we understand, usually one that can be described in terms of another set …
WebWe show how particle-vortex duality implies the existence of a large non-abelian discrete symmetry group which relates the electromagnetic response for dual two-dimensional …
Wave-Particle Duality - Examples, Definition, Formula, Uses, FAQ's
Web6 days ago · Wave-particle duality enables the manipulation of light at the quantum level, leading to innovations in fiber optics, laser technology, and quantum computing. This …
Particle-vortex duality of 2d Dirac fermion from electric-magnetic ...
WebMay 19, 2015 · Particle-vortex duality is a powerful theoretical tool that has been used to study bosonic systems. Here we propose an analogous duality for Dirac fermions in 2+1 …
[hep-th/0010246] Particle-Vortex Duality and the Modular Group ...
WebOct 26, 2000 · Particle-Vortex Duality and the Modular Group: Applications to the Quantum Hall Effect and Other 2-D Systems. C.P. Burgess, B. Dolan. We show how …
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