论文标题
走向超级teichmüller旋转TQFT
Towards Super Teichmüller Spin TQFT
论文作者
论文摘要
Teichmüller理论的量化导致了3个manifolds所谓的TeichmüllerTQFT的表述。在本文中，我们启动了TeichmüllerTQFT的“超对称性”的研究，我们称之为超级Teichmüller旋转TQFT。我们通过利用有关超级Teichmüller理论的量化结果，为一类Spin 3型几何形状的SuperTeichmüller自旋TQFT的分区函数提供了混凝土表达。然后，我们计算分区函数的扰动膨胀，以获得自旋3个序列的扰动不变性。我们还评论了超级teichmüller旋转TQFT与复杂量规组的3维Chern-Simons理论的关系，以及由M5-BRANES的压缩产生的3D N = 2类。
The quantization of the Teichmüller theory has led to the formulation of the so-called Teichmüller TQFT for 3-manifolds. In this paper we initiate the study of "supersymmetrization" of the Teichmüller TQFT, which we call the super Teichmüller spin TQFT. We obtain concrete expressions for the partition functions of the super Teichmüller spin TQFT for a class of spin 3-manifold geometries, by taking advantage of the recent results on the quantization of the super Teichmüller 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 Teichmüller 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.
