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We report measurements of the photon beam asymmetry $\Sigma$ for the reaction$\vec{\gamma} p\to K^+\Sigma^0$(1193) using the GlueX spectrometer in Hall D atJefferson Lab. Data were collected using a linearly polarized photon beam inthe energy range of 8.2-8.8 GeV incident on a liquid hydrogen target. The beamasymmetry $\Sigma$ was measured as a function of the Mandelstam variable $t$,and a single value of $\Sigma$ was extracted for events produced in the$u$-channel. These are the first exclusive measurements of the photon beamasymmetry $\Sigma$ for the reaction in this energy range. For the $t$-channel,the measured beam asymmetry is close to unity over the $t$-range studied,$-t=(0.1-1.4)~$(GeV/$c$)$^{2}$, with an average value of $\Sigma = 1.00\pm0.05$. This agrees with theoretical models that describe the reaction via thenatural-parity exchange of the $K^{*}$(892) Regge trajectory. A value of$\Sigma = 0.41 \pm 0.09$ is obtained for the $u$-channel integrated up to$-u=2.0$~(GeV/$c$)$^{2}$.

Measurement of the Photon Beam Asymmetry in $\vec{\gamma} p\to K^+\Sigma^0$ at $E_{\gamma} = 8.5$ GeV