Particle-vortex duality in topological insulators and superconductors
By Jeff Murugan, H. Nastase. 2016
144 citations recorded by the source corpus.
A bstractWe 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.
Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics
View Paper: https://www.semanticscholar.org/paper/aa78654610c1efef2cb3713e4e28dc6c8e84a681
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In Atomic and Molecular Physics, and Optics
In Condensed Matter Physics
Citations in the corpus
- Particle-Vortex Duality from 3D Bosonization (2016, unknown): “Related work is also contained in [46].”
- Comments on global symmetries, anomalies, and duality in (2 + 1)d (2017, background): “Recently, a convergence of ideas from condensed matter physics [1-6], supersymmetric quantum field theory [7-19], and string theory [20-34] has led to a large set of new boson/fermion dualities [35-45] and new fermion/fermion dualities [46,38,39,47,45].”
- Time-reversal breaking in QCD4, walls, and dualities in 2 + 1 dimensions (2017, unknown): “Therefore, this model is within the regime where the dualities of [10-23] apply.”
- Chern-Simons-matter dualities with SO and USp gauge groups (2016, background): “The N = k = Nf = 1 versions of these dualities were analyzed and coupled to appropriate background fields in [28,29,30], and their relation to supersymmetric dualities was analyzed in [31,32], thus providing further evidence for their validity.”