Superfield description of 10D SYM theory with magnetized extra dimensions

Abstract

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 $\mathcal{N}=4$. 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.

19pages, no figures

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Cited by in corpus (31)

• Modular Flavor Symmetry on Magnetized Torus
• $Z_N$ twisted orbifold models with magnetic flux
• Phenomenological aspects of 10D SYM theory with magnetized extra dimensions
• Classification of three-generation models on magnetized orbifolds
• Zero-modes on orbifolds : magnetized orbifold models by modular transformation
• Gaussian Froggatt-Nielsen mechanism on magnetized orbifolds
• Operator analysis of physical states on magnetized $T^2/Z_N$ orbifolds
• Comprehensive Analysis of Yukawa Hierarchies on $T^2/Z_N$ with Magnetic Fluxes
• Shifted orbifold models with magnetic flux
• Effective field theory for magnetic compactifications
• Non-Abelian discrete flavor symmetries of 10D SYM theory with magnetized extra dimensions
• Flavor landscape of 10D SYM theory with magnetized extra dimensions
• Superfield description of gravitational couplings in generic 5D supergravity
• Kähler moduli stabilization in semi-realistic magnetized orbifold models
• N=1 superfield description of vector-tensor couplings in six dimensions
• Superfield description of (4+2n)-dimensional SYM theories and their mixtures on magnetized tori
• More About Branes on a General Magnetized Torus
• Number of zero-modes on magnetized $T^4/Z_N$ orbifolds analyzed by modular transformation
• The Higgs boson mass and SUSY spectra in 10D SYM theory with magnetized extra dimensions
• Supersymmetric models on magnetized orbifolds with flux-induced Fayet-Iliopoulos terms
• Zero-modes in magnetized $T^6/{\mathbb{Z}}_N$ orbifold models through $Sp(6,\mathbb{Z})$ modular symmetry
• 4D effective action from non-Abelian DBI action with magnetic flux background
• Dynamical supersymmetry breaking on magnetized tori and orbifolds
• Probability distribution over some phenomenological models in the matrix model compactified on a torus
• Effects of localized μ-terms at the fixed points in magnetized orbifold models
• Wavefunctions on magnetized branes in the conifold
• Full diffeomorphism and Lorentz invariance in 4D $\mathcal{N}=1$ superfield description of 6D SUGRA
• Roles of electric field/time-dependent Wilson line in toroidal compactification with or without magnetic fluxes
• One-loop vacuum energy in 10D super-Yang-Mills theory on magnetized tori with/without 4D N=1 supersymmetric completion
• $\mathcal{N}=1$ superfield description of BPS solutions in 6D gauged SUGRA with 3-branes
• Magnetized Branes and the Six-Torus