Equivalence Classes of Boundary Conditions in SU(N) Gauge Theory on 2-dimensional Orbifolds

Details Equivalence Classes of Boundary Conditions in SU(N) Gauge Theory on 2-dimensional Orbifolds Equivalence Classes of Boundary Conditions in SU(N) Gauge Theory on 2-dimensional Orbifolds

2009-05-26

arxiv.org/abs/0905.4123v2

Prog.Theor.Phys.122:847-864,2010

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, 4 figures, revised version for publication in PTP

Scientific paper

10.1143/PTP.122.847

We study equivalence classes of boundary conditions in an SU(N) gauge theory on six-dimensional space-time including two-dimensional orbifold. For five kinds 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 those 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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