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We investigate the hybrid exotic meson with $J^{PC}=1^{-+}$ within theframework of an AdS/QCD model. Introducing a holographic field dual to theoperator for hybrid exotic meson, we obtain the eigen-value equation for itsmass. Fixing all free parameters by QCD observables such as the $\rho$-mesonmass, we predict the masses of the hybrid exotic meson. The results turn out tobe $1476 \mathrm{MeV}$ for the ground state, and $2611 \mathrm{MeV}$ for thefirst excited one. Being compared with the existing experimental data for the$\pi_1(1400)$, which is known to be $m_{\pi_1} = 1351\pm30 \mathrm{MeV}$, thepresent result seems to be qualitative in agreement with it. We also predictthe decay constant of $\pi_1$(1400): $F_{\pi_1}= 10.6$ MeV.

Hybrid exotic meson with J^{PC}=1^{-+} in AdS/QCD