Particle-vortex duality in topological insulators and superconductors

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dc.contributor.authorMurugan, Jeff
dc.contributor.authorNastase, Horatiu
dc.date.accessioned2021-10-08T07:08:13Z
dc.date.available2021-10-08T07:08:13Z
dc.date.issued2017
dc.description.abstractWe 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.
dc.identifier.apacitationMurugan, J., & Nastase, H. (2017). Particle-vortex duality in topological insulators and superconductors. <i>Journal of High Energy Physics</i>, 2017(5), 174 - 177. http://hdl.handle.net/11427/34527en_ZA
dc.identifier.chicagocitationMurugan, Jeff, and Horatiu Nastase "Particle-vortex duality in topological insulators and superconductors." <i>Journal of High Energy Physics</i> 2017, 5. (2017): 174 - 177. http://hdl.handle.net/11427/34527en_ZA
dc.identifier.citationMurugan, J. & Nastase, H. 2017. Particle-vortex duality in topological insulators and superconductors. <i>Journal of High Energy Physics.</i> 2017(5):174 - 177. http://hdl.handle.net/11427/34527en_ZA
dc.identifier.issn1029-8479
dc.identifier.issn1126-6708
dc.identifier.ris TY - Journal Article AU - Murugan, Jeff AU - Nastase, Horatiu AB - 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. DA - 2017 DB - OpenUCT DP - University of Cape Town IS - 5 J1 - Journal of High Energy Physics LK - https://open.uct.ac.za PY - 2017 SM - 1029-8479 SM - 1126-6708 T1 - Particle-vortex duality in topological insulators and superconductors TI - Particle-vortex duality in topological insulators and superconductors UR - http://hdl.handle.net/11427/34527 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/34527
dc.identifier.vancouvercitationMurugan J, Nastase H. Particle-vortex duality in topological insulators and superconductors. Journal of High Energy Physics. 2017;2017(5):174 - 177. http://hdl.handle.net/11427/34527.en_ZA
dc.language.isoeng
dc.publisher.departmentDepartment of Mathematics and Applied Mathematics
dc.publisher.facultyFaculty of Science
dc.sourceJournal of High Energy Physics
dc.source.journalissue5
dc.source.journalvolume2017
dc.source.pagination174 - 177
dc.source.urihttps://dx.doi.org/10.1007/JHEP05(2017)159
dc.subject.otherHigh Energy Physics - Theory
dc.subject.otherCondensed Matter - Strongly Correlated Electrons
dc.titleParticle-vortex duality in topological insulators and superconductors
dc.typeJournal Article
uct.type.publicationResearch
uct.type.resourceJournal Article
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