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We consider an example of vectorial AdS_5/CFT_4 duality when the boundarytheory is described by N free complex or real Maxwell fields. It is dual to aparticular ("type C") higher spin theory in AdS_5 containing fields in specialmixed-symmetry representations. We extend the study of this theory inarXiv:1410.3273 by deriving the expression for the large N limit of thecorresponding singlet-sector partition function on S^1 x S^3. We find that inboth complex U(N) and real O(N) invariant cases the form of the one-particlepartition function is as required by the AdS/CFT duality. We also demonstratethe matching of the Casimir energy on S^3 by assuming an integer shift in thebulk theory coupling.

Vectorial AdS_5/CFT_4 duality for spin-one boundary theory