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Seiberg-Witten curves with O7±-planes

Profile image of Futoshi YagiFutoshi Yagi

2023, Journal of High Energy Physics

https://doi.org/10.1007/JHEP11(2023)178
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67 pages

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Abstract

We construct Seiberg-Witten curves for 5d 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 P 2 theory with an adjoint.

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We construct Seiberg-Witten curves for 5d 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 D7branes. 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 P 2 theory with an adjoint.

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