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arXiv · 1707.07181

Discrete theta angle from an O5-plane

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

We consider 5d $\mathcal{N}=1$ $Sp(1)$ gauge theory based on a brane configuration with an O5-plane. At the UV fixed point, the theory with no matter enjoys enhanced global symmetry $SU(2)$ or $U(1)$ depending on the discrete theta angle $θ=0, π$ (mod $2π$). A naive brane configuration with an O5-plane, however, does not distinguish two different theories, as it describes the weak coupling region. We devise a technique for computing 5d Seiberg-Witten curve of the two theories from the brane web with an O5-plane. Their Seiberg-Witten curves show that their M5 configurations under the presence of OM5-planes are different. The decompactification limit of each Seiberg-Witten curve also shows distinct phase structures in their Coulomb branch leading to significantly different $(p,q)$ 5-brane configurations with an O5-plane in the strong coupling region.

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Hirotaka Hayashi, Sung-Soo Kim, Kimyeong Lee, Futoshi Yagi. 2017-11-13. Discrete theta angle from an O5-plane. https://doi.org/10.1007/jhep11(2017)041

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