Kavli Affiliate: Masahito Yamazaki
| First 5 Authors: Nezhla Aghaei, M. K. Pawelkiewicz, Masahito Yamazaki, ,
| Summary:
The quantization of the Teichm"uller theory has led to the formulation of
the so-called Teichm"uller TQFT for 3-manifolds. In this paper we initiate the
study of "supersymmetrization" of the Teichm"uller TQFT, which we call the
super Teichm"uller spin TQFT. We obtain concrete expressions for the partition
functions of the super Teichm"uller spin TQFT for a class of spin 3-manifold
geometries, by taking advantage of the recent results on the quantization of
the super Teichm"uller theory. We then compute the perturbative expansions of
the partition functions, to obtain perturbative invariants of spin 3-manifolds.
We also comment on the relations of the super Teichm"uller spin TQFT to
3-dimensional Chern-Simons theories with complex gauge groups, and to a class
of 3d N=2 theories arising from the compactifications of the M5-branes.
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