TY - JOUR
T1 - Superfield description of (4+2n)-dimensional SYM theories and their mixtures on magnetized tori
AU - Abe, Hiroyuki
AU - Horie, Tomoharu
AU - Sumita, Keigo
N1 - Funding Information:
H.A. was supported in part by the Grant-in-Aid for Scientific Research No. 25800158 from the Ministry of Education, Culture, Sports, Science and Technology ( MEXT ) in Japan. K.S. was supported in part by a Grant-in-Aid for JSPS Fellows No. 25⋅4968 from the MEXT in Japan.
Publisher Copyright:
© 2015 The Authors.
PY - 2015/11/1
Y1 - 2015/11/1
N2 - 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 N=1 supersymmetry out of full N=2,3 or 4 in the original SYM theories. It is formulated in an N=1 superspace respecting the unbroken supersymmetry, and the four-dimensional effective action is written in terms of superfields representing 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.
AB - 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 N=1 supersymmetry out of full N=2,3 or 4 in the original SYM theories. It is formulated in an N=1 superspace respecting the unbroken supersymmetry, and the four-dimensional effective action is written in terms of superfields representing 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.
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U2 - 10.1016/j.nuclphysb.2015.09.014
DO - 10.1016/j.nuclphysb.2015.09.014
M3 - Article
AN - SCOPUS:84943646642
VL - 900
SP - 331
EP - 365
JO - Nuclear Physics B
JF - Nuclear Physics B
SN - 0550-3213
ER -