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@ARTICLE{Buchmuller:414486,
author = {Buchmuller, Wilfried and Dierigl, Markus and Tatsuta,
Yoshiyuki},
title = {{M}agnetized orbifolds and localized flux},
reportid = {PUBDB-2018-03981, arXiv:1810.06362. DESY-18-167},
year = {2018},
abstract = {Magnetized orbifolds play an important role in
compactifications of string theories and higher-dimensional
field theories to four dimensions. Magnetic flux leads to
chiral fermions, it can be a source of supersymmetry
breaking and it is an important ingredient of moduli
stabilization. Flux quantization on orbifolds is subtle due
to the orbifold singularities. Generically, Wilson line
integrals around these singularities are non-trivial, which
can be interpreted as localized flux. As a consequence, flux
densities on orbifolds can take the same values as on tori.
We determine the transition functions for the flux vector
bundle on the orbifold $T^2/\mathbb{Z}_2$ and the related
twisted boundary conditions of zero-mode wave functions. We
also construct 'untwisted' zero-mode functions that are
obtained for singular vector fields related to the Green's
function on a torus, and we discuss the connection between
zeros of the wave functions and localized flux. Twisted and
untwisted zero-mode functions are related by a singular
gauge transformation.},
keywords = {orbifold: singularity (autogen) / flux: quantization
(autogen) / flux: magnetic (autogen) / flux: density
(autogen) / zero mode: wave function (autogen) / field
theory: higher-dimensional (autogen) / string model:
compactification (autogen) / boundary condition: twist
(autogen) / transformation: gauge (autogen) / field theory:
vector (autogen) / moduli: stability (autogen) / fermion:
chiral (autogen) / dimension: 4 (autogen) / supersymmetry:
symmetry breaking (autogen) / torus (autogen) / Wilson loop
(autogen)},
cin = {T},
cid = {I:(DE-H253)T-20120731},
pnm = {611 - Fundamental Particles and Forces (POF3-611)},
pid = {G:(DE-HGF)POF3-611},
experiment = {EXP:(DE-MLZ)NOSPEC-20140101},
typ = {PUB:(DE-HGF)25 / PUB:(DE-HGF)29},
eprint = {1810.06362},
howpublished = {arXiv:1810.06362},
archivePrefix = {arXiv},
SLACcitation = {$\%\%CITATION$ = $arXiv:1810.06362;\%\%$},
doi = {10.3204/PUBDB-2018-03981},
url = {https://bib-pubdb1.desy.de/record/414486},
}