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arXiv · 2306.11631

Seiberg-Witten curves with O7$^\pm$-planes

Hirotaka Hayashi·Sung-Soo Kim·Kimyeong Lee·Futoshi Yagi
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Abstract

We construct Seiberg-Witten curves for 5d $\mathcal{N}=1$ gauge theories whose Type IIB 5-brane configuration involves an O7-plane and discuss an intriguing relation between theories with an O7$^+$-plane and those with an O7$^-$-plane and 8 D7-branes. We claim that 5-brane configurations with an O7$^+$-plane can be effectively understood as 5-brane configurations with a set of an O7$^-$-plane and eight D7-branes with some special tuning of their masses such that the D7-branes are frozen at the O7$^-$-plane. We check this equivalence between SU($N$) gauge theory with a symmetric hypermultiplet and SU($N$) gauge theory with an antisymmetric with 8 fundamentals, and also between SO($2N$) gauge theory and Sp($N$) gauge theory with eight fundamentals. We also compute the Seiberg-Witten curves for non-Lagrangian theories with a symmetric hypermultiplet, which includes the local $\mathbb{P}^2$ theory with an adjoint.

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Hirotaka Hayashi, Sung-Soo Kim, Kimyeong Lee, Futoshi Yagi. 2023-06-20. Seiberg-Witten curves with O7$^\pm$-planes. https://doi.org/10.1007/jhep11(2023)178

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