Operator analysis of physical states on magnetized T2/ZN orbifolds

We discuss an effective way for analyzing the system on the magnetized twisted orbifolds in operator formalism, especially in the complicated cases T2/Z3, T2/Z4 and T2/Z6. We can obtain the exact and analytical results which can be applicable for any larger values of the quantized magnetic flux M, a...

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Published inNuclear physics. B Vol. 890; pp. 442 - 480
Main Authors Abe, Tomo-hiro, Fujimoto, Yukihiro, Kobayashi, Tatsuo, Miura, Takashi, Nishiwaki, Kenji, Sakamoto, Makoto
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.01.2015
Elsevier
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Abstract We discuss an effective way for analyzing the system on the magnetized twisted orbifolds in operator formalism, especially in the complicated cases T2/Z3, T2/Z4 and T2/Z6. We can obtain the exact and analytical results which can be applicable for any larger values of the quantized magnetic flux M, and show that the (non-diagonalized) kinetic terms are generated via our formalism and the number of the surviving physical states are calculable in a rigorous manner by simply following usual procedures in linear algebra in any case. Our approach is very powerful when we try to examine properties of the physical states on (complicated) magnetized orbifolds T2/Z3, T2/Z4, T2/Z6 (and would be in other cases on higher-dimensional torus) and could be an essential tool for actual realistic model construction based on these geometries. (Note: This article is registered under preprint number: arXiv:1409.5421.)
AbstractList We discuss an effective way for analyzing the system on the magnetized twisted orbifolds in operator formalism, especially in the complicated cases T2/Z3, T2/Z4 and T2/Z6. We can obtain the exact and analytical results which can be applicable for any larger values of the quantized magnetic flux M, and show that the (non-diagonalized) kinetic terms are generated via our formalism and the number of the surviving physical states are calculable in a rigorous manner by simply following usual procedures in linear algebra in any case. Our approach is very powerful when we try to examine properties of the physical states on (complicated) magnetized orbifolds T2/Z3, T2/Z4, T2/Z6 (and would be in other cases on higher-dimensional torus) and could be an essential tool for actual realistic model construction based on these geometries. (Note: This article is registered under preprint number: arXiv:1409.5421.)
Author Abe, Tomo-hiro
Fujimoto, Yukihiro
Sakamoto, Makoto
Nishiwaki, Kenji
Miura, Takashi
Kobayashi, Tatsuo
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Snippet We discuss an effective way for analyzing the system on the magnetized twisted orbifolds in operator formalism, especially in the complicated cases T2/Z3,...
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Title Operator analysis of physical states on magnetized T2/ZN orbifolds
URI https://dx.doi.org/10.1016/j.nuclphysb.2014.11.022
https://doaj.org/article/ab9b18cf8a6749ebb1d02140517efed0
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