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arXiv · 1410.1538

Ω-deformation of B-twisted gauge theories and the 3d-3d correspondence

Yuan Luo·Meng-Chwan Tan·Junya Yagi·Qin Zhao
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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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Yuan Luo, Meng-Chwan Tan, Junya Yagi, Qin Zhao. 2015-02-07. Ω-deformation of B-twisted gauge theories and the 3d-3d correspondence. https://doi.org/10.1007/jhep02(2015)047

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