Particle-vortex duality in topological insulators and superconductors
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Publication:683072
DOI10.1007/JHEP05(2017)159zbMATH Open1380.81373arXiv1606.01912OpenAlexW3098882496MaRDI QIDQ683072
Author name not available (Why is that?)
Publication date: 5 February 2018
Published in: (Search for Journal in Brave)
Abstract: 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.
Full work available at URL: https://arxiv.org/abs/1606.01912
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