The Gang-Kim-Stubbs rank-0 SCFT is derived from the Dimofte-Gaiotto-Gukov construction on a punctured lens space, and a new family of theories plus a self-mirror conjecture are proposed from other lens spaces.
3d-3d correspondence and abelian flat connection
1 Pith paper cite this work. Polarity classification is still indexing.
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abstract
We realize a homological block of a knot complement in $S^3$ for $G_{\mathbb{C}}=SL(2,\mathbb{C})$ as a half-index of a 3d $\mathcal{N}=2$ theory via an expression of the homological block as an inverted Habiro series by working out some examples, which we expect to extend to general knots. Also, by choosing a certain set of poles in the integral expression of the half-index, we obtain the colored Jones polynomial.
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hep-th 1years
2026 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
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3d $\mathcal{N}=$ 4 rank-0 SCFT from punctured lens space
The Gang-Kim-Stubbs rank-0 SCFT is derived from the Dimofte-Gaiotto-Gukov construction on a punctured lens space, and a new family of theories plus a self-mirror conjecture are proposed from other lens spaces.