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A Note on Vectorial AdS$_5$/CFT$_4$ Duality for Spin-$j$ Boundary Theory

High Energy Physics - Theory 2017-02-01 v2

Abstract

The vectorial holographic correspondences between higher-spin theories in AdS5_5 and free vector models on the boundary are extended to the cases where the latter is described by free massless spin-jj field. The dual higher-spin theory in the bulk does not include gravity and can only be defined on rigid AdS5_5 background with S4S^4 boundary. We discuss various properties of these rather special higher-spin theories and calculate their one-loop free energies. We show that the result is proportional to the same quantity for spin-jj doubleton treated as if it is a AdS5_5 field. Finally, we consider even more special case where the boundary theory itself is given by an infinite tower of massless higher-spin fields.

Keywords

Cite

@article{arxiv.1611.00112,
  title  = {A Note on Vectorial AdS$_5$/CFT$_4$ Duality for Spin-$j$ Boundary Theory},
  author = {Jin-Beom Bae and Euihun Joung and Shailesh Lal},
  journal= {arXiv preprint arXiv:1611.00112},
  year   = {2017}
}

Comments

27 pages, version to appear in JHEP

R2 v1 2026-06-22T16:38:20.257Z