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arXiv · 1702.01016

On the Kerr-AdS/CFT correspondence

Julián Barragán Amado·Bruno Carneiro da Cunha·Elisabetta Pallante
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Abstract

We review the relation between four-dimensional global conformal blocks and field propagation in ${\rm AdS_5}$. Following the standard argument that marginal perturbations should backreact in the geometry, we turn to the study of scalar fields in the generic Kerr-${\rm AdS_5}$ geometry. On one hand, the result for scattering coefficients can be obtained exactly using the isomonodromy technique, giving exact expressions in terms of $c=1$ chiral conformal blocks. On the other hand, one can use the analogy between the scalar field equations to the Level 2 null field Ward identity in two dimensional Liouville field theory to write approximate expressions for the same coefficients in terms of semi-classical chiral Liouville conformal blocks. Surprisingly, the conformal block thus constructed has a well-behaved interpretation in terms of Liouville vertex operators.

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Julián Barragán Amado, Bruno Carneiro da Cunha, Elisabetta Pallante. 2017-02-03. On the Kerr-AdS/CFT correspondence. https://arxiv.org/abs/1702.01016

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