Classification of abelian spin Chern-Simons theories

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We 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.
47 pages, 5 figures, LaTeX

Keywords

High Energy Physics - Theory, Mesoscale and Nanoscale Physics, Quantum Algebra

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/53146

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/hep-th/0505235
 http://arxiv.org/abs/hep-th/0505235

Collections

arXiv