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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Main Authors: Tomo-hiro Abe, Yukihiro Fujimoto, Tatsuo Kobayashi, Takashi Miura, Kenji Nishiwaki, Makoto Sakamoto
Format: Article
Language:English
Published: Elsevier 2015-01-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321314003666
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spelling doaj-ab9b18cf8a6749ebb1d02140517efed02020-11-24T22:25:31ZengElsevierNuclear Physics B0550-32132015-01-01890442480Operator analysis of physical states on magnetized T2/ZN orbifoldsTomo-hiro Abe0Yukihiro Fujimoto1Tatsuo Kobayashi2Takashi Miura3Kenji Nishiwaki4Makoto Sakamoto5Department of Physics, Kyoto University, Kyoto 606-8502, JapanDepartment of Physics, Osaka University, Toyonaka 560-0043, Japan; Corresponding author.Department of Physics, Hokkaido University, Sapporo 060-0810, JapanDepartment of Physics, Kobe University, Kobe 657-8501, JapanRegional Centre for Accelerator-based Particle Physics, Harish-Chandra Research Institute, Allahabad 211 019, India; School of Physics, Korea Institute for Advanced Study, Seoul 130 722, Republic of KoreaDepartment of Physics, Kobe University, Kobe 657-8501, JapanWe 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.)http://www.sciencedirect.com/science/article/pii/S0550321314003666
collection DOAJ
language English
format Article
sources DOAJ
author Tomo-hiro Abe
Yukihiro Fujimoto
Tatsuo Kobayashi
Takashi Miura
Kenji Nishiwaki
Makoto Sakamoto
spellingShingle Tomo-hiro Abe
Yukihiro Fujimoto
Tatsuo Kobayashi
Takashi Miura
Kenji Nishiwaki
Makoto Sakamoto
Operator analysis of physical states on magnetized T2/ZN orbifolds
Nuclear Physics B
author_facet Tomo-hiro Abe
Yukihiro Fujimoto
Tatsuo Kobayashi
Takashi Miura
Kenji Nishiwaki
Makoto Sakamoto
author_sort Tomo-hiro Abe
title Operator analysis of physical states on magnetized T2/ZN orbifolds
title_short Operator analysis of physical states on magnetized T2/ZN orbifolds
title_full Operator analysis of physical states on magnetized T2/ZN orbifolds
title_fullStr Operator analysis of physical states on magnetized T2/ZN orbifolds
title_full_unstemmed Operator analysis of physical states on magnetized T2/ZN orbifolds
title_sort operator analysis of physical states on magnetized t2/zn orbifolds
publisher Elsevier
series Nuclear Physics B
issn 0550-3213
publishDate 2015-01-01
description 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.)
url http://www.sciencedirect.com/science/article/pii/S0550321314003666
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AT tatsuokobayashi operatoranalysisofphysicalstatesonmagnetizedt2znorbifolds
AT takashimiura operatoranalysisofphysicalstatesonmagnetizedt2znorbifolds
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