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    Supersymmetry Enhancement and Junctions in S-folds

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    We study supersymmetry enhancement from N=3{\cal N}=3 to N=4{\cal N}=4 proposed by Aharony and Tachikawa by using string junctions in S-folds. The central charges carried by junctions play a central role in our analysis. We consider planer junctions in a specific plane. Before the S-folding they carry two complex central charges, which we denote by ZZ and Zˉ\bar Z. The S-fold projection eliminates Zˉ\bar Z as well as one of the four supercharges, and when the supersymmetry is enhanced Zˉ\bar Z should be reproduced by some non-perturbative mechanism. For the models of Z3\mathbb{Z}_3 and Z4\mathbb{Z}_4 S-folds which are expected to give SU(3)SU(3) and SO(5)SO(5) N=4{\cal N}=4 theories we compare the junction spectra with those in perturbative brane realization of the same theories. We establish one-to-one correspondence so that ZZ coincides. By using the correspondence we also give an expression for the enhanced central charge Zˉ\bar Z.Comment: 30 pages, 7 figures, v2: minor corrections, version accepted for publication in JHE
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