# Super Chern Simons Theory and Flat Super Connections on a Torus

@article{Mikovi2000SuperCS, title={Super Chern Simons Theory and Flat Super Connections on a Torus}, author={Aleksandar Mikovi{\'c} and Roger Picken}, journal={arXiv: Mathematical Physics}, year={2000} }

We study the moduli space of a super Chern-Simons theory on a manifold with the topology ${\bf R}\times \S$, where $\S$ is a compact surface. The moduli space is that of flat super connections modulo gauge transformations on $\S$, and we study in detail the case when $\S$ is atorus and the supergroup is $OSp(m|2n)$. The bosonic moduli space is determined by the flat connections for the maximal bosonic subgroup $O(m)\times Sp(2n)$, while the fermionic moduli appear only for special parts of the…

#### 12 Citations

Parametrization of the moduli space of flat SL ( 2 , R ) connections on the torus

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