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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.

MSC:
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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