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

Abstract

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.

PTPTEX,17 pages

References in corpus (1)

• Dynamical Rearrangement of Theta Parameter in Presence of Mixed Chern-Simons Term

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