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Operator analysis of physical states on magnetized $T^{2}/Z_{N}$ orbifolds

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arxiv 1409.5421 v2 pith:TYYED7QI submitted 2014-09-18 hep-th hep-ph

classification hep-thhep-ph
keywords magnetizedorbifoldsphysicalstatescasescomplicatedformalismoperator
verification ladder T0 review T1 audit T2 compute T3 formal

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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 $T^{2}/Z_{3}$, $T^{2}/Z_{4}$ and $T^{2}/Z_{6}$. 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 $T^{2}/Z_{3}$, $T^{2}/Z_{4}$, $T^{2}/Z_{6}$ (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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. On discrete gauging and non-invertible selection rules

    hep-th 2025-07 conditional novelty 6.0 of 10

    Fields labeled by conjugacy classes of Z3- and S3-gauged finite groups obey non-invertible fusion selection rules with residual automorphism symmetries.

  2. Quantum aspects of non-invertible flavor symmetries in intersecting/magnetized D-brane models

    hep-th 2024-12 conditional novelty 6.0 of 10

    In magnetized and intersecting D-brane models on T^2/Z2, the D4 symmetry from a non-invertible flavor symmetry survives loop corrections and instanton-generated n-point couplings for even fluxes with trivial Scherk-Sc...

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