Superfield description of 10D SYM theory with magnetized extra dimensions

Details Superfield description of 10D SYM theory with magnetized extra dimensions Superfield description of 10D SYM theory with magnetized extra dimensions

2012-04-24

arxiv.org/abs/1204.5327v1

Physics

High Energy Physics

High Energy Physics - Theory

19pages, no figures

Scientific paper

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.

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