Discrete theta angle from an O5-plane

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 $\theta =0,\pi$ (mod $2\pi$). 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.

v1: 45 pages, 36 figures, v2: published version, v3: a typo corrected

References in corpus (3)

• Webs of five-branes and N=2 superconformal field theories
• 5-dim Superconformal Index with Enhanced En Global Symmetry
• Equivalence of several descriptions for 6d SCFT

Cited by in corpus (2)

• Rank-3 antisymmetric matter on 5-brane webs
• Complete prepotential for 5d $\mathcal{N}=1$ superconformal field theories