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Particle-vortex duality in topological insulators and superconductors

Murugan, Jeff ; Nastase, Horatiu

The journal of high energy physics, 2017-05, Vol.2017 (5), p.1-12, Article 159 [Revista revisada por pares]

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Título:
Particle-vortex duality in topological insulators and superconductors
Autor: Murugan, Jeff ; Nastase, Horatiu
Materias: Chern-Simons Theories ; Classical and Quantum Gravitation ; Duality in Gauge Field Theories ; Elementary Particles ; Fluid flow ; High energy physics ; Origins ; Physics ; Physics and Astronomy ; Quantum Field Theories ; Quantum Field Theory ; Quantum Physics ; Regular Article - Theoretical Physics ; Relativity Theory ; String Theory ; Topological insulators ; Topological States of Matter ; Topological superconductors ; Vortices
Es parte de: The journal of high energy physics, 2017-05, Vol.2017 (5), p.1-12, Article 159
Descripción: A bstract We investigate the origins and implications of the duality between topological insulators and topological superconductors in three and four spacetime dimensions. In the latter, the duality transformation can be made at the level of the path integral in the standard way, while in three dimensions, it takes the form of “self-duality in odd dimensions”. In this sense, it is closely related to the particle-vortex duality of planar systems. In particular, we use this to elaborate on Son’s conjecture that a three dimensional Dirac fermion that can be thought of as the surface mode of a four dimensional topological insulator is dual to a composite fermion.
Editor: Berlin/Heidelberg: Springer Berlin Heidelberg
Idioma: Inglés

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