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This in the context of the AdS/CFT correspondence. I am reading this review on AdS/CFT Aharony et. al. (The MAGOO review) The abstract can be found here

Equation (2.50) of the above paper lists the $R$-symmetry groups of extended supersymmetries in $AdS_{p+2}$. He uses the following notation for the group:

$AdS_5: SU(2,2 | {\cal N}/2),~{\cal N}=2,4,6,8$

Can anyone explain this notation to me?

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Beisert has a nice chapter on this arxiv.org/abs/1012.4004 which is part of the huge AdS/CFT-integrability review. –  Vibert Jun 14 '13 at 21:36
    
Thanks. Let me read through them and get back to you. –  Prahar Jun 15 '13 at 0:08

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