  The Izergin-Korepin model is an integrable model with the simplest twisted
quantum affine algebra $U_q(A_2^{(2)})$ symmetry. Applying the $t-W$ method, we
derive the homogeneous zero roots Bethe ansatz equations and the corresponding
zero root patterns of the Izergin-Korepin model with generic integrable
boundaries. Based on these results, we analytically compute the surface
energies and boundary excitations in different regimes of boundary parameters
of the model. It is shown that in some regimes, correlation effect appears
between two boundary fields.
