Comments on higher-spin holography

Abstract

The conjectured holographic duality between vector models with quartic interaction and higher-spin field theory in the bulk is reviewed, with emphasis on some versions and generalisations (higher dimensions, beyond the singlet sector, etc) which have not been much investigated yet. The strongest form of the conjecture assumes that it holds for any (not necessarily large) number of massless scalar fields and for any value of the coupling constant. Since the quartic interaction is of double-trace type, the exact duality (for any value of the coupling constant) automatically follows from its validity at the Gaussian fixed point (for vanishing coupling constant). The validity of the latter also implies that unbroken higher spin symmetries should prevent quantum corrections in the bulk.

9 pages, expanded version of the contribution to the Proceedings of the XVII European Workshop on String Theory (Padova, 5-9 September 2011); v2: one reference added

References in corpus (7)

• Chern-Simons Theory with Vector Fermion Matter
• AdS_4/CFT_3 Construction from Collective Fields
• Effective action in a higher-spin background
• Holographic dual of free field theory
• Constraining conformal field theories with a higher spin symmetry
• Higher Spin Realization of the dS/CFT Correspondence
• Towards a gravity dual of the unitary Fermi gas

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• TASI Lectures on the Higher Spin - CFT duality
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