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Letters in Mathematical Physics
Article
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arXiv.org e-Print Archive
Preprint . 2005
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Letters in Mathematical Physics
Article . 2006 . Peer-reviewed
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Archivio istituzionale della ricerca - Università di Trieste
Article . 2006
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https://dx.doi.org/10.48550/ar...
Article . 2005
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Letters in Mathematical Physics
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Spin-Hall Effect with Quantum Group Symmetries

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 24 Jan 2006Embargo end date: 01 Jan 2005 English Publisher:Springer Science and Business Media LLCJournal:Letters in Mathematical Physics, volume 75, pages 187-200 (issn: 0377-9017, eissn: 1573-0530, Copyright policy )
Authors: LANDI, GIOVANNI;

doi: 10.1007/s11005-005-0040-8 , 10.48550/arxiv.hep-th/0504092

arXiv: http://arxiv.org/abs/hep-th/0504092

handle: 11368/1695878

Spin-Hall Effect with Quantum Group Symmetries

Abstract

We construct a model of spin-Hall effect on a noncommutative 4 sphere with isospin degrees of freedom (coming from a noncommutative instanton) and invariance under a quantum orthogonal group. The corresponding representation theory allows to explicitly diagonalize the Hamiltonian and construct the ground state; there are both integer and fractional excitations. Similar models exist on higher dimensional noncommutative spheres and noncommutative projective spaces.

v2: 14 pages, latex. Several changes and additional material; two extra sections added. To appear in LMP. Dedicated to Rafael Sorkin with friendship and respect

Related Organizations
Keywords

High Energy Physics - Theory, Condensed Matter - Mesoscale and Nanoscale Physics, Spin-Hall effect, quantum spheres, FOS: Physical sciences, Mathematical Physics (math-ph), High Energy Physics - Theory (hep-th), Mathematics - Quantum Algebra, Mesoscale and Nanoscale Physics (cond-mat.mes-hall), FOS: Mathematics, Quantum Algebra (math.QA), quantum group, Spin-Hall effect; quantum groups; quantum spheres, Mathematical Physics

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    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
7
Average
Average
Top 10%
Green
bronze