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Journal of High Energy Physics

, Volume 2017, Issue 5, pp 1–50

First Online: 25 May 2017Received: 09 January 2017Accepted: 17 May 2017DOI: 10.1007-JHEP052017135

Cite this article as: Cappelli, A., Randellini, E. & Sisti, J. J. High Energ. Phys. 2017 2017: 1. doi:10.1007-JHEP052017135 Abstract

Massless excitations at the surface of three-dimensional time-reversal invariant topological insulators possess both fermionic and bosonic descriptions, originating from band theory and hydrodynamic BF theory, respectively. We analyze the corresponding field theories of the Dirac fermion and compactified boson and compute their partition functions on the three-dimensional torus geometry. We then find some non-dynamic exact properties of bosonization in 2+1 dimensions, regarding fermion parity and spin sectors. Using these results, we extend the Fu-Kane-Mele stability argument to fractional topological insulators in three dimensions.

KeywordsField Theories in Lower Dimensions Topological Field Theories Topological States of Matter ArXiv ePrint: 1612.05212

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Autor: Andrea Cappelli - Enrico Randellini - Jacopo Sisti


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