Classification of abelian spin Chern-Simons theories

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dc.creatorBelov, Dmitriy
dc.creatorMoore, Gregory W.
dc.date2005-05-25
dc.date.accessioned2026-07-07T04:18:21Z
dc.date.available2026-07-07T04:18:21Z
dc.descriptionWe derive a simple classification of quantum spin Chern-Simons theories with gauge group T=U(1)^N. While the classical Chern-Simons theories are classified by an integral lattice the quantum theories are classified differently. Two quantum theories are equivalent if they have the same invariants on 3-manifolds with spin structure, or equivalently if they lead to equivalent projective representations of the modular group. We prove the quantum theory is completely determined by three invariants which can be constructed from the data in the classical action. We comment on implications for the classification of fractional quantum Hall fluids.
dc.description47 pages, 5 figures, LaTeX
dc.identifierhttps://arxiv.org/abs/hep-th/0505235
dc.identifierhttp://arxiv.org/abs/hep-th/0505235
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/53146
dc.subjectHigh Energy Physics - Theory
dc.subjectMesoscale and Nanoscale Physics
dc.subjectQuantum Algebra
dc.titleClassification of abelian spin Chern-Simons theories
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