wave functions, Eq. (\[eq:KKgluon\]). The boundary conditions become b = - = - , \[eq:eigenmassbk\] indicating different admixture of the Bessel functions $J_1$ and $Y_1$ in the solutions. While there is no analytic solution for the masses, they may be easily obtained numerically. In Figure \[fig:bkm\], we show the variation of the first KK mode gluon mass and coupling to UV-localized states as a function of the magnitude of the IR brane term $\kappa r_{IR}$. In Figure \[fig:gffbkcoup\], we show the dependence of the coupling on $c$ for a few different choices of $\kappa r_{IR}$. The inclusion of the boundary terms ameliorates the strongest constraints from precision electroweak data, and opens up considerably more freedom to choose the fermion $c$’s. However, in computing properties below, we imagine a situation in which the $c$’s are as in the $SU(2)$ custodial version outlined above (for example, to explain the flavor hierarchies), with large contributions to the electroweak $T$-parameter controlled by the IR boundary kinetic terms.

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   ![\[fig:bkm\]The 1st KK gluon mass in units of $1/z_v$ and coupling of the first KK gluon to a fermion zero mode localized at UV brane as a function of brane kinetic term $\kappa r_{IR}$.](g1mass.pdf "fig:")   