Quartic AdS interactions in higher-spin gravity from Conformal Field Theory

By X. Bekaert, Johanna Erdmenger, Dmitry Ponomarev, C. Sleight. 2015

186 citations recorded by the source corpus.

A bstractClarifying the locality properties of higher-spin gravity is a pressing task, but notoriously difficult due to the absence of a weakly-coupled flat regime. The simplest non-trivial case where this question can be addressed is the quartic self-interaction of the AdS scalar field present in the higher-spin multiplet. We investigate this issue in the context of the holographic duality between the minimal bosonic higher-spin theory on AdS4 and the free O(N) vector model in three dimensions. In particular, we determine the exact explicit form of the derivative expansion of the bulk scalar quartic vertex. The quartic vertex is obtained from the field theory four-point function of the operator dual to the bulk scalar, by making use of our previous results for the Witten diagrams of higher-spin exchanges. This is facilitated by establishing the conformal block expansions of both the boundary four-point function and the dual bulk Witten diagram amplitudes. We show that the vertex we find satisfies a generalised notion of locality.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/4bfdf91f5aab3061042330c7138b7e57dcb692cb

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In Astronomy and Astrophysics

1. C. Sleight
2. Dmitry Ponomarev
3. E. D. Skvortsov
4. E. Pajer

In Nuclear and High Energy Physics

1. C. Sleight
2. Dmitry Ponomarev
3. E. D. Skvortsov
4. E. Pajer

In Statistical and Nonlinear Physics

1. C. Sleight
2. Dmitry Ponomarev
3. E. D. Skvortsov
4. E. Pajer

Citations in the corpus

• A Mellin space approach to cosmological correlators (2019, methodology): “8 In Euclidean anti-de Sitter space, such a representation for propagators is often referred to in the AdS/CFT literature as the “split representation”, which has proven to be an invaluable tool in the evaluation of Witten diagrams [34–36, 66–82].”
• Light-front higher-spin theories in flat space (2016, background): “Aiming at the unitary and parity preserving higher-spin theory in flat space we reconstruct the part of the quartic Hamiltonian that contains self-interactions of the scalar field, which can be regarded as the flat space counterpart of the AdS4 result [37, 38].”