3d-3d Correspondence and 2d $\mathcal{N}=(0,2)$ Boundary Conditions
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866910369777188864 |
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| author | Chung, Hee-Joong |
| author_facet | Chung, Hee-Joong |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_10125 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | 3d-3d Correspondence and 2d $\mathcal{N}=(0,2)$ Boundary Conditions Chung, Hee-Joong High Energy Physics - Theory Mathematical Physics 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. |
| title | 3d-3d Correspondence and 2d $\mathcal{N}=(0,2)$ Boundary Conditions |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2307.10125 |