Vectorial AdS_5/CFT_4 duality for spin-one boundary theory

• Published in: arXiv.org
• Main Authors: Beccaria, M, Tseytlin, A A
• Format: Paper Journal Article
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 24.10.2014
• Subjects: Partitions; Partitions (mathematics); Physics - High Energy Physics - Theory; Yang-Mills theory
• ISSN: 2331-8422
• DOI: 10.48550/arxiv.1410.4457

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.