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Effective field theory for magnetic compactifications. (English) Zbl 1378.83081
Summary: 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.

83E30 String and superstring theories in gravitational theory
81T10 Model quantum field theories
81R40 Symmetry breaking in quantum theory
81T60 Supersymmetric field theories in quantum mechanics
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