Abstract
We study a class of two-dimensional \( \mathcal{N}=\left(0,\;4\right) \) quiver gauge theories that flow to superconformal field theories. We find dualities for the superconformal field theories similar to the 4d \( \mathcal{N}=2 \) theories of class \( \mathcal{S} \), labelled by a Riemann surface \( \mathcal{C} \). The dual descriptions arise from various pair-of-pants decompositions, that involve an analog of the T N theory. Especially, we find the superconformal indices of such theories can be written in terms of a topological field theory on \( \mathcal{C} \). We interpret this class of SCFTs as the ones coming from compactifying 6d \( \mathcal{N}=\left(2,\;0\right) \) theory on \( \mathbb{C}{\mathrm{\mathbb{P}}}^1\times \mathcal{C} \). Moreover, some new dualities of (0, 2) and (2, 2) theories are also discussed.
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Putrov, P., Song, J. & Yan, W. (0,4) dualities. J. High Energ. Phys. 2016, 185 (2016). https://doi.org/10.1007/JHEP03(2016)185
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DOI: https://doi.org/10.1007/JHEP03(2016)185