Comments on spinning OPE blocks in AdS\(_{3}\)/CFT\(_{2}\)

We extend the work of \cite{Ferrara:1971vh},\cite{Ferrara:1973vz}, to obtain an integral expression of OPE blocks for spinning primaries in CFT\(_{2}\). We observe, when the OPE blocks are made out of conserved spinning primaries, the integral becomes a product of two copies of weighted AdS\(_{2}\)...

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Veröffentlicht in:arXiv.org 2019-04
1. Verfasser: Das, Suchetan
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Sprache:eng
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Zusammenfassung:We extend the work of \cite{Ferrara:1971vh},\cite{Ferrara:1973vz}, to obtain an integral expression of OPE blocks for spinning primaries in CFT\(_{2}\). We observe, when the OPE blocks are made out of conserved spinning primaries, the integral becomes a product of two copies of weighted AdS\(_{2}\) fields, smeared along geodesics. In this way, conserved current OPE blocks in CFT\(_{2}\) have a different representation in terms of AdS\(_{2}\) geodesic operators, in stead of viewing them as AdS\(_{3}\) geodesic operators. We also show, how this representation can be related to AdS\(_{3}\) massless higher spin fields through HKLL bulk field reconstruction. Using this picture, we consistently obtain the closed form expression of four point spinning conformal block as a product of two AdS\(_{2}\) Geodesic Witten diagrams.
ISSN:2331-8422
DOI:10.48550/arxiv.1811.09375