Abstract
Magnetic flux plays an important role in compactifications of field and string theories in two ways, it generates a multiplicity of chiral fermion zero modes and it can break supersymmetry. We derive the complete four-dimensional effective action for \( \mathcal{N} \) = 1 supersymmetric Abelian and non-Abelian gauge theories in six dimensions compactified on a torus with flux. The effective action contains the tower of charged states and it accounts for the mass spectrum of bosonic and fermionic fields as well as their level-dependent interactions. This allows us to compute quantum corrections to the mass and couplings of Wilson lines. We find that the one-loop corrections vanish, contrary to the case without flux. This can be traced back to the spontaneous breaking of symmetries of the six-dimensional theory by the background gauge field, with the Wilson lines as Goldstone bosons.
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Buchmuller, W., Dierigl, M., Dudas, E. et al. Effective field theory for magnetic compactifications. J. High Energ. Phys. 2017, 52 (2017). https://doi.org/10.1007/JHEP04(2017)052
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DOI: https://doi.org/10.1007/JHEP04(2017)052