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- W1993323468 abstract "In a previous paper we defined a Chern–Simons action for noncommutative spaces, i.e. spectral triples. In the present paper we compute this action explicitly for the noncommutative three-torus C∞(TΘ3), a ∗-algebra generated by three unitaries, and its spectral triple constructed by D. Essouabri, B. Iochum, C. Levy, and A. Sitarz. In connection with this computation we calculate the first coefficient in the loop expansion series of the corresponding Feynman path integral with the Chern–Simons action as Lagrangian. The result does not depend on the deformation matrix Θ and is always equal to 0." @default.
- W1993323468 created "2016-06-24" @default.
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- W1993323468 date "2013-01-01" @default.
- W1993323468 modified "2023-09-26" @default.
- W1993323468 title "Chern–Simons theory for the noncommutative three-torus C∞(TΘ3)" @default.
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- W1993323468 doi "https://doi.org/10.1016/j.geomphys.2012.09.009" @default.
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