A model with bulk and brane gauge kinetic terms and SUSY breaking without hidden sector

We derive various solutions for the gauge field and the gaugino when there are both 5D bulk kinetic terms and 4D brane kinetic terms. Below the compactification scale $1/y_c$, gauge interaction by the massless mode is universal, independent of the locations of sources, but above $1/y_c$, the interaction distinguishes their locations. We consider the $S^1/(Z_2\times Z_2')$ orbifold compactification, in which N=2 SUSY and SU(2) gauge symmetry break down to N=1 and U(1), respectively. While the odd parity gauge fields under $Z_2$, $A^1_\mu$ and $A^2_\mu$, interact with the bulk gauge coupling $g^2$, $A^3_\mu$ at low energy interacts with $e^2g^2/(e^2+g^2)$ due to the brane kinetic term with the coupling $e^2$. Even if $g^2$, which is asymptotically free, blew up at the scale $1/y_c<\mu < \Lambda_{\rm cutoff}$, $e^2g^2/(e^2+g^2)$ could remain small at low energy by brane matter fields' contribution. The condensations of the gauginos $\Psi^1$ and $\Psi^2$ generate soft mass term of $\Psi^3$ by gravity mediation.