Particle-vortex duality in topological insulators and superconductorsReport as inadecuate

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Journal of High Energy Physics

, Volume 2017, Issue 5, pp 1–12

First Online: 31 May 2017Received: 01 February 2017Revised: 12 May 2017Accepted: 24 May 2017DOI: 10.1007-JHEP052017159

Cite this article as: Murugan, J. & Nastase, H. J. High Energ. Phys. 2017 2017: 1. doi:10.1007-JHEP052017159 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.

KeywordsChern-Simons Theories Duality in Gauge Field Theories Topological States of Matter ArXiv ePrint: 1606.01912

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Author: Jeff Murugan - Horatiu Nastase



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