Contributor info: Dr Satoshi Nawata

Jiaqun Jiang, Satoshi Nawata, Jiahao Zheng

SciPost Phys. 18, 180 (2025) · published 6 June 2025 | Toggle abstract · pdf

We find new $\mathcal{N}=(2,2)$ and $\mathcal{N}=(0,2)$ dualities through the twisted compactifications of 4d supersymmetric theories on $S^2$. Our findings include dualities for both $\mathcal{N}=(2,2)$ and $\mathcal{N}=(0,2)$ non-Abelian gauge theories, as well as $\mathcal{N}=(0,2)$ Gauge/Landau-Ginzburg duality.

Satoshi Nawata, Marcus Sperling, Hao Ellery Wang, Zhenghao Zhong

SciPost Phys. 15, 033 (2023) · published 27 July 2023 | Toggle abstract · pdf

The study of 3d mirror symmetry has greatly enhanced our understanding of various aspects of 3d $\mathcal{N}=4$ theories. In this paper, starting with known mirror pairs of 3d $\mathcal{N}=4$ quiver gauge theories and gauging discrete subgroups of the flavour or topological symmetry, we construct new mirror pairs with non-trivial 1-form symmetry. By providing explicit quiver descriptions of these theories, we thoroughly specify their symmetries (0-form, 1-form, and 2-group) and the mirror maps between them.