Osp(1|2) Chern-Simons gauge theory as 2D N=1 Induced Supergravity
Abstract
We demonstrate the close relationship between Chern-Simons gauge theory with gauge group Osp(1|2) and N=1 induced supergravity in two dimensions. More precisely, the inner product of the physical states in the former yields the partition function of the latter evaluated in the Wess-Zumino supergauge. It is also shown that the moduli space of flat Osp(1|2) connections naturally includes super Teichm\"uller space of super Riemann surfaces.
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