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Zero-modes on orbifolds : Magnetized orbifold models by modular transformation
| Title: | Zero-modes on orbifolds : Magnetized orbifold models by modular transformation |
| Authors: | Kobayashi, Tatsuo Browse this author →KAKEN DB | | Nagamoto, Satoshi Browse this author |
| Issue Date: | 14-Nov-2017 |
| Publisher: | American Physical Society (APS) |
| Journal Title: | Physical Review D |
| Volume: | 96 |
| Issue: | 9 |
| Start Page: | 96011 |
| Publisher DOI: | 10.1103/PhysRevD.96.096011 |
| Abstract: | 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. |
| Rights: | ©2017 American Physical Society |
| Type: | article |
| URI: | http://hdl.handle.net/2115/67915 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 小林 達夫
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