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3d-3d Correspondence and 2d mathcal{N}=(0,2) Boundary Conditions
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3d-3d Correspondence and 2d mathcal{N}=(0,2) Boundary Conditions
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We consider quiver forms that appear in the motivic Donaldson-Thomas generating series or characters of conformal field theories and relate them to 3d $\mathcal{N}=2$ theories on $D^2 \times_q S^1$ with certain boundary conditions preserving 2d $\mathcal{N}=(0,2)$ supersymmetry. We apply this to the 3d-3d correspondence and provide a Lagrangian description of 3d $\mathcal{N}=2$ theories $T[M_3]$ with 2d $\mathcal{N}=(0,2)$ boundary conditions for 3-manifolds $M_3$ in several contexts.
Forward citations
Cited by 3 Pith papers
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3d-3d correspondence for knot complements with finite and large $N$
The SU(N) homological block in inverted-Habiro form equals a half-index of an explicit 3d N=2 theory for the figure-eight and the two trefoil knots, with a conjectural all-knot extension.
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3d-3d correspondence and abelian flat connection
The homological block of a knot complement is realized as a half-index of a 3d N=2 theory via a contour enclosing z=q^k poles, and the same integral at z=q^-k poles gives the colored Jones polynomial.
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$c_{\rm eff}$ from Resurgence at the Stokes Line
Resurgent cyclic orbits' algebraic structure plus the leading q-series term determines the asymptotic growth exponent of dual q-series coefficients, which equals an effective central charge c_eff in a related 3d N=2 QFT.
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