Abstract
We study equivalence classes of boundary conditions in an SU(N) gauge theory on six-dimensional space-time including two-dimensional orbifolds. For five types of two-dimensional orbifolds S1/Z2 × S1/Z2 and T2/Zm (m = 2,3,4,6), orbifold conditions and their gauge transformation properties are given and the equivalence relations among boundary conditions are derived. The classification of boundary conditions related to diagonal representatives is carried out using the equivalence relations.
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