The authors derive new propagator identities that yield holographic representations for 5- and 6-point global scalar conformal blocks and obtain closed-form direct-channel decompositions of a class of higher-point AdS diagrams.
Higher Spin Gauge Theory and Holography: The Three-Point Functions
4 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
abstract
In this paper we calculate the tree level three-point functions of Vasiliev's higher spin gauge theory in AdS4 and find agreement with the correlators of the free field theory of N massless scalars in three dimensions in the O(N) singlet sector. This provides substantial evidence that Vasiliev theory is dual to the free field theory, thus verifying a conjecture of Klebanov and Polyakov. We also find agreement with the critical O(N) vector model, when the bulk scalar field is subject to the alternative boundary condition such that its dual operator has classical dimension 2.
fields
hep-th 4representative citing papers
Higher spin gravity path integral on S^4 glues to an Sp(N) or superconformal S^3 boundary theory, giving leading contribution 2^N with one-loop cancellations.
Differential contracting homotopy unifies all known disentangling solutions for dynamical and topological fields in linear 3d higher-spin theory and offers an alternative derivation.
Topological fields in 4d higher spin theory have a finite number of degrees of freedom and admit a gauge-invariant cubic action for interactions with physical higher spin fields.
citing papers explorer
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Propagator identities, holographic conformal blocks, and higher-point AdS diagrams
The authors derive new propagator identities that yield holographic representations for 5- and 6-point global scalar conformal blocks and obtain closed-form direct-channel decompositions of a class of higher-point AdS diagrams.
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dS$^4$ Metamorphosis
Higher spin gravity path integral on S^4 glues to an Sp(N) or superconformal S^3 boundary theory, giving leading contribution 2^N with one-loop cancellations.
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Differential Contracting Homotopy in the Linearized 3d Higher-Spin Theory
Differential contracting homotopy unifies all known disentangling solutions for dynamical and topological fields in linear 3d higher-spin theory and offers an alternative derivation.
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Topological Fields in $4d$ Higher Spin Theory
Topological fields in 4d higher spin theory have a finite number of degrees of freedom and admit a gauge-invariant cubic action for interactions with physical higher spin fields.