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arXiv · 1611.03798

Effective field theory for magnetic compactifications

Wilfried Buchmuller·Markus Dierigl·Emilian Dudas·Julian Schweizer
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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 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 a symmetry of the six-dimensional theory by the background gauge field, with the Wilson line as Goldstone boson.

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Wilfried Buchmuller, Markus Dierigl, Emilian Dudas, Julian Schweizer. 2017-03-31. Effective field theory for magnetic compactifications. https://doi.org/10.1007/jhep04(2017)052

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