Superfield description of (4+2n)-dimensional SYM theories and their mixtures on magnetized tori

Abstract

We provide a systematic way of dimensional reduction for $(4+2n)$-dimensional $U(N)$ supersymmetric Yang-Mills (SYM) theories ($n=0,1,2,3$) and their mixtures compactified on two-dimensional tori with background magnetic fluxes, which preserve a partial $\mathcal{N}=1$ supersymmetry out of full $\mathcal{N}=2,3$ or $4$ in the original SYM theories. It is formulated in an $\mathcal{N}=1$ superspace respecting the unbroken supersymmetry, and the four-dimensional effective action is written in terms of superfields representing $\mathcal{N}=1$ vector and chiral multiplets, those arise from the higher-dimensional SYM theories. We also identify the dilaton and geometric moduli dependence of matter Kähler metrics and superpotential couplings as well as of gauge kinetic functions in the effective action. The results would be useful for various phenomenological/cosmological model buildings with SYM theories or D-branes wrapping magnetized tori, especially, with mixture configurations of them with different dimensionalities from each other.

37pages

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Cited by in corpus (9)

• Comprehensive Analysis of Yukawa Hierarchies on $T^2/Z_N$ with Magnetic Fluxes
• CP-violating phase on magnetized toroidal orbifolds
• Kähler moduli stabilization in semi-realistic magnetized orbifold models
• Dynamical supersymmetry breaking on magnetized tori and orbifolds
• Effects of localized μ-terms at the fixed points in magnetized orbifold models
• Nonuniversal gaugino masses in a magnetized toroidal compactification of SYM theories
• Full diffeomorphism and Lorentz invariance in 4D $\mathcal{N}=1$ superfield description of 6D SUGRA
• Quasi-localized wavefunctions on magnetized tori and tiny neutrino Yukawa couplings
• One-loop vacuum energy in 10D super-Yang-Mills theory on magnetized tori with/without 4D N=1 supersymmetric completion