Reference : Three point functions in higher spin AdS3 supergravity
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
Physical, chemical, mathematical & earth Sciences : Physics
Three point functions in higher spin AdS3 supergravity
Creutzig, T. [Fachbereich Mathematik, Technische Universität Darmstadt, Schloßgartenstr. 7, 64289 Darmstadt, Germany]
Hikida, Y. [Department of Physics, Research and Education Center for Natural Sciences, Keio University, Hiyoshi, Yokohama 223-8521, Japan]
Roenne, Peter Browne mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit > ; Universität zu Köln > Institut für Theoretische Physik]
Journal of High Energy Physics
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[en] AdS-CFT Correspondence ; Conformal Field Models in String Theory ; Supersymmetric gauge theory
[en] In a previous work we have proposed that the Prokushkin-Vasiliev higher spin N = 2 supergravity on AdS3 is dual to a large N limit of the N = (2,2) ℂPN Kazama- Suzuki model. There is now strong evidence supporting this proposal based on symmetry and spectrum comparison. In this paper we will give further evidence for the duality by studying correlation functions. We compute boundary three point functions with two fermionic operators and one higher spin bosonic current in terms of the bulk supergravity theory. Then we compare with the results in the dual CFT, where the supersymmetry of the theory turns out to be very helpful. In particular we use it to confirm results conjectured in the bosonic case. Moreover, correlators with a fermionic current can be obtained via supersymmetry. © 2013 SISSA, Trieste, Italy.

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