Abstract
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 \( \mathcal{O} \)(α 5) in the chemical potential α associated with the spin-3 charge. The calculation is performed at generic values of the symmetry algebra hs[λ] parameter λ and for the scalar in three different representations. We then study the perturbative data in the Bergshoeff-Blencowe-Stelle limit where λ is taken large and discover remarkable regularities. This leads to formulate a conjectured closed formula for the resummation of the various subleading terms at large λ up to the order \( \mathcal{O} \)(α nλ2n−3).
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ArXiv ePrint: 1311.5450
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Beccaria, M., Macorini, G. Resummation of scalar correlator in higher spin black hole background. J. High Energ. Phys. 2014, 71 (2014). https://doi.org/10.1007/JHEP02(2014)071
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DOI: https://doi.org/10.1007/JHEP02(2014)071