# Discrete θ and the 5d superconformal index

Journal of High Energy Physics, Jan 2014

5d Yang-Mills theory with an Sp(N) gauge group admits a discrete analog of the θ parameter. We describe the origin of this parameter in $\mathcal{N}$ = 1 theories from Type I’ string theory, and study its effect on the 5d superconformal fixed point theories with an Sp(1) = SU(2) gauge group by computing the superconformal index. Our result confirms the lack of global symmetry enhancement in the so-called ${{\widetilde{E}}_1}$ theory.

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Oren Bergman, Diego Rodríguez-Gómez, Gabi Zafrir. Discrete θ and the 5d superconformal index, Journal of High Energy Physics, 2014, 79, DOI: 10.1007/JHEP01(2014)079