Chern-Simons theory for SU_q(2)

Details Chern-Simons theory for SU_q(2) Chern-Simons theory for SU_q(2)

2012-04-02

arxiv.org/abs/1204.0418v1

Mathematics

Operator Algebras

30 pages. arXiv admin note: text overlap with arXiv:math/0209142

Scientific paper

In a previous paper we defined a noncommutative replacement of the Chern-Simons action. In the present paper we investigate and compute the action for a particular example: the quantum group SU_q(2). Two different spectral triples were constructed for SU_q(2). We investigate the Chern-Simons action in both cases and conclude the non-topological nature of the Chern-Simons action defined in our previous paper. Using the Chern-Simons action as Lagrangian we define and compute the path integral, at least conceptually.

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