Superfield description of 10D SYM theory with magnetized extra dimensions

Understand

We present a four-dimensional (4D) ${\cal N}=1$ superfield description of supersymmetric Yang-Mills (SYM) theory in ten-dimensional (10D) spacetime with certain magnetic fluxes in compactified extra dimensions preserving partial ${\cal N}=1$ supersymmetry out of full ${\cal N}=4$.

• We derive a 4D effective action in ${\cal N}=1$ superspace directly from the 10D superfield action via dimensional reduction, and identify its dependence on dilaton and geometric moduli superfields.
• A concrete model for three generations of quark and lepton superfields are also shown.
• Our formulation would be useful for building various phenomenological models based on magnetized SYM theories or D-branes.