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- W4366989735 abstract "We study the existence of diagonal representatives in each equivalence class of representation matrices of boundary conditions in $SU(n)$ or $U(n)$ gauge theories compactified on the orbifolds $T^2/{mathbb Z}_N$ ($N = 2, 3, 4, 6$). We suppose that the theory has a global $G' = U(n)$ symmetry. Using constraints, unitary transformations and gauge transformations, we examine whether the representation matrices can simultaneously become diagonal or not. We show that at least one diagonal representative necessarily exists in each equivalence class on $T^2/{mathbb Z}_2$ and $T^2/{mathbb Z}_3$, but the representation matrices on $T^2/{mathbb Z}_4$ and $T^2/{mathbb Z}_6$ can contain not only diagonal matrices but also non-diagonal $2 times 2$ ones and non-diagonal $3 times 3$ and $2 times 2$ ones, respectively, as members of block-diagonal submatrices. These non-diagonal matrices have discrete parameters, which means that the rank-reducing symmetry breaking can be caused by the discrete Wilson line phases." @default.
- W4366989735 created "2023-04-27" @default.
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- W4366989735 date "2023-04-24" @default.
- W4366989735 modified "2023-09-27" @default.
- W4366989735 title "On representation matrices of boundary conditions in SU(n) gauge theories compactified on two-dimensional orbifolds" @default.
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- W4366989735 doi "https://doi.org/10.1007/jhep04(2023)113" @default.
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