Vectorial AdS₅/CFT₄ duality for spin-one boundary theory

الأصل · EN

We consider an example of vectorial AdS₅/CFT₄ duality when the boundary theory is described by N free complex or real Maxwell fields. It is dual to a particular ("type C") higher spin theory in AdS₅ containing fields in special mixed-symmetry representations. We extend the study of this theory in arXiv:1410.3273 by deriving the expression for the large N limit of the corresponding singlet-sector partition function on S¹ x S³. We find that in both complex U(N) and real O(N) invariant cases the form of the one-particle partition function is as required by the AdS/CFT duality. We also demonstrate the matching of the Casimir energy on S³ by assuming an integer shift in the bulk theory coupling.