Magnetized orbifolds and localized flux

Buchmuller, Wilfried; Dierigl, Markus; Tatsuta, Yoshiyuki

doi:10.1016/j.aop.2018.12.006

Journal Article

PUBDB-2019-00958

Magnetized orbifolds and localized flux

Buchmuller, W. (Corresponding author)DESY* ; Dierigl, M.Extern* ; Tatsuta, Y.DESY*

2019
Elsevier Amsterdam [u.a.]

Annals of physics 401, 91 - 115 (2019) [10.1016/j.aop.2018.12.006]

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Please use a persistent id in citations: doi:10.1016/j.aop.2018.12.006 doi:10.3204/PUBDB-2019-00958

Report No.: DESY-18-167; arXiv:1810.06362

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 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.

Classification:

ddc:530

Note: © Elsevier Inc.; Final published version in progress; Post referee fulltext in progress; Embargo 12 months from publication

Contributing Institute(s):

Theorie-Gruppe (T)

Research Program(s):

611 - Fundamental Particles and Forces (POF3-611) (POF3-611)

Experiment(s):

No specific instrument

Appears in the scientific report 2019

Database coverage:
Medline

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