TY  - JOUR
AU  - Buchmuller, Wilfried
AU  - Dierigl, Markus
AU  - Tatsuta, Yoshiyuki
TI  - Magnetized orbifolds and localized flux
JO  - Annals of physics
VL  - 401
IS  - DESY-18-167
SN  - 0003-4916
CY  - Amsterdam [u.a.]
PB  - Elsevier
M1  - PUBDB-2019-00958
M1  - DESY-18-167
M1  - arXiv:1810.06362
SP  - 91 - 115
PY  - 2019
N1  - © Elsevier Inc.; Final published version in progress; Post referee fulltext in progress; Embargo 12 months from publication
AB  - 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 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.
LB  - PUB:(DE-HGF)16
UR  - <Go to ISI:>//WOS:000460082400005
DO  - DOI:10.1016/j.aop.2018.12.006
UR  - https://bib-pubdb1.desy.de/record/419176
ER  -