Higher Spin Holography and AdS String Sigma-Model

TL;DR

This paper investigates cubic spin 3 interactions in AdS space through a higher spin string sigma-model, revealing how correlators match dual vector model structures and exploring holographic cancellations related to Liouville background charge.

Contribution

It introduces a higher spin extension of the string sigma-model in AdS, demonstrating the reproduction of dual correlator structures and analyzing holographic cancellations.

Findings

Spin 3 correlator matches dual vector model structure

Holographic cancellations linked to Liouville background charge

Leading order cosmological constant reproduces expected correlators

Abstract

We analyze cubic spin 3 interaction in AdS space using the higher spin extension of string-theoretic sigma-model constructed in our previous work, which low energy limit is described by AdS vacuum. We find that, in the leading order of the cosmological constant, the spin 3 correlator on the AdS4 string theory side reproduces the structure of 3 point function of composite operators, quadratic in free fields, in the dual vector model. The cancellation of terms violating higher spin holography is related to the value of the Liouville background charge in four dimensions.