Comments on spinning OPE blocks in AdS3/CFT2
| Autor: | Suchetan Das |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
High Energy Physics - Theory
Physics Nuclear and High Energy Physics Geodesic FOS: Physical sciences Field (mathematics) Conformal map lcsh:QC1-999 High Energy Physics::Theory High Energy Physics - Theory (hep-th) Product (mathematics) Anti-de Sitter space Operator product expansion Conserved current lcsh:Physics Mathematical physics Spin-½ |
| Zdroj: | Physics Letters B, Vol 792, Iss, Pp 397-405 (2019) |
| ISSN: | 0370-2693 |
| DOI: | 10.1016/j.physletb.2019.03.058 |
| Popis: | 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. Same as published version with one extra appendix is added |
| Databáze: | OpenAIRE |
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