A NOTE ON NONCOMMUTATIVE CHERN–SIMONS MODEL ON MANIFOLDS WITH BOUNDARY

@article{Lugo2001ANO,
  title={A NOTE ON NONCOMMUTATIVE CHERN–SIMONS MODEL ON MANIFOLDS WITH BOUNDARY},
  author={Adri'an R. Lugo},
  journal={Modern Physics Letters A},
  year={2001},
  volume={17},
  pages={141-155}
}
  • A. Lugo
  • Published 7 November 2001
  • Mathematics
  • Modern Physics Letters A
We study field theories defined in regions of the spatial noncommutative (NC) plane with a boundary present delimiting them, concentrating in particular on the U(1) NC Chern–Simons theory on the upper half-plane. We find that classical consistency and gauge invariance lead necessary to the introduction of K0-space of square integrable functions null together with all their derivatives at the origin. Furthermore the requirement of closure of K0 under the *-product leads to the introduction of a… 

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