Comments on higher-spin holography

Details Comments on higher-spin holography Comments on higher-spin holography

2012-02-02

arxiv.org/abs/1202.0543v2

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, expanded version of the contribution to the Proceedings of the XVII European Workshop on String Theory (Padova, 5-9 S

Scientific paper

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.

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