BPS spectra and 3-manifold invariants

Preprint English OPEN
Gukov, Sergei; Pei, Du; Putrov, Pavel; Vafa, Cumrun; (2017)
  • Subject: Mathematical Physics | High Energy Physics - Theory | Mathematics - Quantum Algebra | Mathematics - Geometric Topology

We provide a physical definition of new homological invariants $\mathcal{H}_a (M_3)$ of 3-manifolds (possibly, with knots) labeled by abelian flat connections. The physical system in question involves a 6d fivebrane theory on $M_3$ times a 2-disk, $D^2$, whose Hilbert s... View more
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