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Resummation of scalar correlator in higher spin black hole background · Around

2013

Resummation of scalar correlator in higher spin black hole background

Beccaria, Matteo, Macorini, Guido

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We consider the proposal that predicts holographic duality between certain 2D minimal models at large central charge and Vasiliev 3D higher spin gravity with a single complex field.

We compute the scalar correlator in the background of a higher spin black hole at order $\mathcal O(\alpha^{5})$ in the chemical potential $\alpha$ associated with the spin-3 charge.
The calculation is performed at generic values of the symmetry algebra $\mbox{hs}[\lambda]$ parameter $\lambda$ and for the scalar in three different representations.
We then study the perturbative data in the large $\lambda$ limit and discover remarkable regularities.

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