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

DOI10.1016/J.NUCLPHYSB.2015.09.014zbMATH Open1331.81184arXiv1507.02425OpenAlexW2123022893MaRDI QIDQ5964190

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Publication date: 26 February 2016

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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 $mathcalN=1$ supersymmetry out of full $mathcalN=2,3$ or $4$ in the original SYM theories. It is formulated in an $mathcalN=1$ superspace respecting the unbroken supersymmetry, and the four-dimensional effective action is written in terms of superfields representing $mathcalN=1$ vector and chiral multiplets, those arise from the higher-dimensional SYM theories. We also identify the dilaton and geometric moduli dependence of matter K"ahler 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.

Full work available at URL: https://arxiv.org/abs/1507.02425

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