期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 5, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP05(2017)159
关键词
Chern-Simons Theories; Duality in Gauge Field Theories; Topological States of Matter
资金
- CNPq [301219/2010-9]
- FAPESP [2014/18634-9]
- National Research Foundation (NRF) of South Africa [GUN 87667]
- School of Natural Sciences of the Institute for Advanced Study
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.
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