Vectorial AdS_5/CFT_4 duality for spin-one boundary theory

Abstract

We consider an example of vectorial AdS_5/CFT_4 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 AdS_5 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 S^1 x S^3. 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 S^3 by assuming an integer shift in the bulk theory coupling.

arXiv comment12 pages. v2: references added

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• Higher Spin Interactions in Four Dimensions: Vasiliev vs. Fronsdal
• Supergravity one-loop corrections on AdS_7 and AdS_3, higher spins and AdS/CFT
• On matter-free Higher Spin Gravities in 3d: (partially)-massless fields and general structure
• 3d Abelian Gauge Theories at the Boundary
• Formal Higher-Spin Theories and Kontsevich-Shoikhet-Tsygan Formality
• On one loop corrections in higher spin gravity
• T-Reflection
• Ambitwistors, oscillators and massless fields on $Ad{S}_5$
• One Loop Tests of Supersymmetric Higher Spin $Ad{S}_4/CF{T}_3$