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… 
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References

SHOWING 1-10 OF 34 REFERENCES
Quantum Holonomies in (2+1)-Dimensional Gravity
Abstract We describe an approach to the quantisation of (2+1)-dimensional gravity with topology R ×T 2 and negative cosmological constant, which uses two quantum holonomy matrices satisfying a
Quantum Gravity in 2+1 Dimensions
1. Why (2+1)-dimensional gravity? 2. Classical general relativity in 2+1 dimensions 3. A field guide to the (2+1)-dimensional spacetimes 4. Geometric structures and Chern-Simons theory 5. Canonical
The holonomy of gerbes with connections
In this paper we study the holonomy of gerbes with connections. If the manifold, M, on which the gerbe is defined is 1-connected, then the holonomy defines a group homomorphism. Furthermore we show
Geometry and physics of knots
KNOTS are usually categorized in terms of topological properties that are invariant under changes in a knot's spatial configuration1–4. Here we approach knot identification from a different angle, by
"J."
however (for it was the literal soul of the life of the Redeemer, John xv. io), is the peculiar token of fellowship with the Redeemer. That love to God (what is meant here is not God’s love to men)
Mod
  • Phys. Lett. A 29
  • 1992
Annals Phys
  • 282
  • 2000
J. Math. Phys
  • J. Math. Phys
  • 1995
Phys
  • 35
  • 1995
Class. Quant. Grav
  • Class. Quant. Grav
  • 1994
...
1
2
3
4
...