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Equivalence classes of boundary conditions in $$\mathrm{SU}(N)$$ gauge theory on 2-dimensional orbifolds. (English) Zbl 1181.81115
Summary: 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 $$S^1/Z_2 \times S^1/Z_2$$ and $$T^2/Z_m$$ $$(m = 2,3,4,6)$$, 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.

##### MSC:
 81V22 Unified quantum theories 57R18 Topology and geometry of orbifolds 81V17 Gravitational interaction in quantum theory
GUT
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