Abstract
We study Ω-deformation of B-twisted gauge theories in two dimensions. As an application, we construct an Ω-deformed, topologically twisted five-dimensional maximally supersymmetric Yang-Mills theory on the product of a Riemann surface Σ and a three-manifold M, and show that when Σ is a disk, this theory is equivalent to analytically continued Chern-Simons theory on M. Based on these results, we establish a correspondence between three-dimensional \( \mathcal{N} \) = 2 superconformal theories and analytically continued Chern-Simons theory. Furthermore, we argue that there is a mirror symmetry between Ω-deformed two-dimensional theories.
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In memory of Tan See Hong.
ArXiv ePrint: 1410.1538
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Luo, Y., Tan, MC., Yagi, J. et al. Ω-deformation of B-twisted gauge theories and the 3d-3d correspondence. J. High Energ. Phys. 2015, 47 (2015). https://doi.org/10.1007/JHEP02(2015)047
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DOI: https://doi.org/10.1007/JHEP02(2015)047