Magnetized orbifolds and localized flux

Journal Article · Thu Feb 14 23:00:00 EST 2019 · Annals of Physics

DOI:https://doi.org/10.1016/J.AOP.2018.12.006· OSTI ID:22852386

Buchmuller, Wilfried ^[1]; Dierigl, Markus ^[2]; Tatsuta, Yoshiyuki ^[1]

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1. Deutsches Elektronen-Synchrotron DESY, 22607 Hamburg (Germany)
2. Institute for Theoretical Physics, Utrecht University, 3584 CC Utrecht (Netherlands)

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 T²/Z₂ 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.

• OSTI ID: 22852386
• Journal Information: Annals of Physics, Journal Name: Annals of Physics Vol. 401; ISSN 0003-4916; ISSN APNYA6
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOUNDARY CONDITIONS
CHIRALITY
FERMIONS
FIELD THEORIES
FLUX DENSITY
FLUX QUANTIZATION
GAUGE INVARIANCE
GREEN FUNCTION
MAGNETIC FLUX
SINGULARITY
STRING THEORY
SUPERSYMMETRY
SYMMETRY BREAKING
TORI
VECTOR FIELDS
WAVE FUNCTIONS