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Superfield description of 10D SYM theory with magnetized extra dimensions. (English) Zbl 1246.81347
Summary: We present a four-dimensional (4D) \(\mathcal{N}=1\) superfield description of supersymmetric Yang-Mills (SYM) theory in ten-dimensional (10D) spacetime with certain magnetic fluxes in compactified extra dimensions preserving partial \(\mathcal{N}=1\) supersymmetry out of full \(N=4\). We derive a 4D effective action in \(\mathcal{N}=1\) 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.

MSC:
81T60 Supersymmetric field theories in quantum mechanics
81T13 Yang-Mills and other gauge theories in quantum field theory
83E15 Kaluza-Klein and other higher-dimensional theories
46S60 Functional analysis on superspaces (supermanifolds) or graded spaces
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