Abstract
We study the ’t Hooft expansion of d = 4 mathcal{N} = 4 supersymmetric Yang-Mills (SYM) theory with the gauge group SO(N) or Sp(N). We consider the 1/N5 expansion with fixed gsN5, where gs denotes the string coupling of bulk type IIB string theory on AdS5× mathbbm{RP} 5 and N5 refers to the RR 5-form flux through mathbbm{RP} 5. N5 differs from N due to a shift coming from the RR charge of O3-plane. As an example, we consider the 1/N5 expansion of the free energy of mathcal{N} = 4 SYM on S4 and the 1/2 BPS circular Wilson loops in the fundamental representation of SO(N) or Sp(N). We find that the 1/N5 expansion is more “closed string like” than the ordinary 1/N expansion.
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