Superfield description of 10D SYM theory with magnetized extra dimensions

TL;DR

This paper develops a 4D superfield framework for 10D supersymmetric Yang-Mills theory with magnetic fluxes, enabling effective model building with phenomenological applications.

Contribution

It provides a novel 4D ${ m N}=1$ superfield description of 10D SYM with magnetic fluxes, including derivation of the effective action and a concrete three-generation model.

Findings

Derived 4D ${ m N}=1$ superfield action from 10D SYM with fluxes

Identified dependence on dilaton and moduli superfields

Presented a three-generation quark and lepton model

Abstract

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.