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- W4310429339 abstract "We analyze the number of independent chiral zero modes and the winding numbers at the fixed points on $T^2/{mathbb{Z}}_N$ ($N=2,3,4,6$) orbifolds with magnetic flux. In the case of $N=2$, we derive the index formula $n_{+}-n_{-}=M/2+(-V_{+}+V_{-})/4=M/2-V_{+}/2+1$ by using the trace formula, where $n_{pm}$ are the numbers of the $pm$ chiral zero modes and $V_{pm}$ are the sums of the winding numbers at the fixed points on $T^2/{mathbb{Z}}_2$. We also obtain the formula $n_{+}-n_{-}=M/N+(-V_{+}+V_{-})/(2N)=M/N-V_{+}/N+1$ for $N=3,4,6$ under an assumption." @default.
- W4310429339 created "2022-12-10" @default.
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- W4310429339 date "2022-11-28" @default.
- W4310429339 modified "2023-10-14" @default.
- W4310429339 title "Index and winding numbers on $T^2/mathbb{Z}_N$ orbifolds with magnetic flux" @default.
- W4310429339 doi "https://doi.org/10.48550/arxiv.2211.15541" @default.
- W4310429339 hasPublicationYear "2022" @default.
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