Equivalence Classes of Boundary Conditions in Gauge Theory on $Z_3$ Orbifold

Yoshiharu Kawamura, Teppei Kinami, Takeshi Miura

Published 2008-08-18, updated 2008-10-28Version 2

We study equivalence classes of boundary conditions in gauge theory on the orbifold $T^2/Z_3$. Orbifold conditions and those gauge transformation properties are given and the gauge equivalence is understood by the Hosotani mechanism. Mode expansions are carried out for six-dimensional $Z_3$ singlet fields and a $Z_3$ triplet field, and the one-loop effective potential for Wilson line phases is calculated.