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arxiv: 1305.0291 · v3 · pith:7IN2VHM5new · submitted 2013-05-01 · ✦ hep-th

3d TQFT from 6d SCFT

Junya Yagi This is my paper
classification ✦ hep-th
keywords theoryfieldhalftwistedalongbrokenchern-simonsclosely
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We study the six-dimensional (2,0) superconformal field theory on S^1 x S^2 x M via compactification to five dimensions, where M is a three-manifold. Twisted along M, the five-dimensional theory has a half of N = (2,2) supersymmetry on S^2, the other half being broken by a superpotential. We show that in the limit where M is infinitely large, the twisted theory reduces to a three-dimensional topological quantum field theory which is closely related to Chern-Simons theory for the complexified gauge group.

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  1. Refined 3D index

    hep-th 2026-04 unverdicted novelty 7.0

    A refined 3D index is defined by adding flavor symmetry gradings to the superconformal index of T[M], yielding an explicit infinite-sum formula from Dehn surgery that is claimed to be a strictly stronger invariant tha...