Three point functions in higher spin AdS3 supergravity

被引:27
作者
Creutzig, Thomas [1 ]
Hikida, Yasuaki [2 ,3 ]
Ronne, Peter B. [4 ]
机构
[1] Tech Univ Darmstadt, Fachbereich Math, Schlossgarternstr 7, D-64289 Darmstadt, Germany
[2] Keio Univ, Dept Phys, Yokohama, Kanagawa 2238521, Japan
[3] Keio Univ, Res & Educ Ctr Nat Sci, Yokohama, Kanagawa 2238521, Japan
[4] Univ Cologne, Inst Theoret Phys, D-50937 Cologne, Germany
关键词
Supersymmetric gauge theory; AdS-CFT Correspondence; Conformal Field Models in String Theory; FIELDS;
D O I
10.1007/JHEP01(2013)171
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
in a previous work we have proposed that the Prokushkin-Vasiliev higher spin N = 2 supergravity on AdS(3) 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.
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页数:49
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