Journal
PHYSICAL REVIEW D
Volume 96, Issue 9, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.96.096011
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Funding
- MEXT KAKENHI [JP17H05395]
- JSPS KAKENSHI [JP26247042]
- Grants-in-Aid for Scientific Research [17H05395, 26247042] Funding Source: KAKEN
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We study T-2/Z(N) orbifold models with magnetic fluxes. We propose a systematic way to analyze the number of zero-modes and their wave functions by use of modular transformation. Our results are consistent with the previous results, and our approach is more direct and analytical than the previous ones. The index theorem implies that the zero-mode number of the Dirac operator on T-2 is equal to the index M, which corresponds to the magnetic flux in a certain unit. Our results show that the zero-mode number of the Dirac operator on T-2/Z(N) is equal to left perpendicularM/Nright perpendicular + 1 except one case on the T-2/Z(3) orbifold.
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