Classifications of magnetized $T^4$ and $T^4/Z_2$ orbifold models

Abstract

We study constructions and classifications of three-generation models based on magnetized $T^4$ and $T^4/Z_2$ orbifold as candidates of the compact space. We focus on chiral fermion zero-mode wave functions in the extra dimensions. Freedoms of constant gauge fields, called Scherk-Schwarz phases are taken into account. Infinite number of three-generation models are yielded, corresponding to the ways in which the magnetic flux can be turned on. We classify them in a systematic manner, clarifying the relationship between different models. The Higgs sector is also studied by analyzing possible assignments of the magnetic flux and Scherk-Schwarz phases, etc. to left- and right-handed fermions.

46 pages, 4 figures

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Cited by in corpus (5)

• Index theorem on magnetized blow-up manifold of $T^2/{\mathbb{Z}}_N$
• Number of zero-modes on magnetized $T^4/Z_N$ orbifolds analyzed by modular transformation
• Zero-modes in magnetized $T^6/{\mathbb{Z}}_N$ orbifold models through $Sp(6,\mathbb{Z})$ modular symmetry
• Three-generation solutions of equations of motion in heterotic supergravity
• Modular flavored dark matter