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000414486 0247_ $$2arXiv$$aarXiv:1810.06362
000414486 0247_ $$2datacite_doi$$a10.3204/PUBDB-2018-03981
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000414486 041__ $$aEnglish
000414486 0881_ $$aarXiv:1810.06362; DESY-18-167
000414486 088__ $$2arXiv$$aarXiv:1810.06362
000414486 088__ $$2DESY$$aDESY-18-167
000414486 1001_ $$0P:(DE-H253)PIP1003059$$aBuchmuller, Wilfried$$b0$$eCorresponding author
000414486 245__ $$aMagnetized orbifolds and localized flux
000414486 260__ $$c2018
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000414486 520__ $$aMagnetized orbifolds play an important role in compactifications of string theories and higher-dimensional field theories to four dimensions. Magnetic flux leads to chiral fermions, it can be a source of supersymmetry breaking and it is an important ingredient of moduli stabilization. Flux quantization on orbifolds is subtle due to the orbifold singularities. Generically, Wilson line integrals around these singularities are non-trivial, which can be interpreted as localized flux. As a consequence, flux densities on orbifolds can take the same values as on tori. We determine the transition functions for the flux vector bundle on the orbifold $T^2/\mathbb{Z}_2$ and the related twisted boundary conditions of zero-mode wave functions. We also construct 'untwisted' zero-mode functions that are obtained for singular vector fields related to the Green's function on a torus, and we discuss the connection between zeros of the wave functions and localized flux. Twisted and untwisted zero-mode functions are related by a singular gauge transformation.
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000414486 650_7 $$2autogen$$aorbifold: singularity
000414486 650_7 $$2autogen$$aflux: quantization
000414486 650_7 $$2autogen$$aflux: magnetic
000414486 650_7 $$2autogen$$aflux: density
000414486 650_7 $$2autogen$$azero mode: wave function
000414486 650_7 $$2autogen$$afield theory: higher-dimensional
000414486 650_7 $$2autogen$$astring model: compactification
000414486 650_7 $$2autogen$$aboundary condition: twist
000414486 650_7 $$2autogen$$atransformation: gauge
000414486 650_7 $$2autogen$$afield theory: vector
000414486 650_7 $$2autogen$$amoduli: stability
000414486 650_7 $$2autogen$$afermion: chiral
000414486 650_7 $$2autogen$$adimension: 4
000414486 650_7 $$2autogen$$asupersymmetry: symmetry breaking
000414486 650_7 $$2autogen$$atorus
000414486 650_7 $$2autogen$$aWilson loop
000414486 693__ $$0EXP:(DE-MLZ)NOSPEC-20140101$$5EXP:(DE-MLZ)NOSPEC-20140101$$eNo specific instrument$$x0
000414486 7001_ $$aDierigl, Markus$$b1
000414486 7001_ $$0P:(DE-H253)PIP1033302$$aTatsuta, Yoshiyuki$$b2
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000414486 9141_ $$y2018
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