3d-3d Correspondence and 2d $\mathcal{N}=(0,2)$ Boundary Conditions

Hee-Joong Chung

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arXiv · 2307.10125

3d-3d Correspondence and 2d $\mathcal{N}=(0,2)$ Boundary Conditions

Hee-Joong Chung

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Abstract

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.

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Hee-Joong Chung. 2024-03-18. 3d-3d Correspondence and 2d $\mathcal{N}=(0,2)$ Boundary Conditions. https://arxiv.org/abs/2307.10125

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