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Three point functions in higher spin AdS3 supergravity ; ; Roenne, Peter Browne in Journal of High Energy Physics (2013), 2013(1), 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 ... [more ▼] 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. [less ▲] Detailed reference viewed: 99 (3 UL)N=1 supersymmetric higher spin holography on AdS3 ; ; Roenne, Peter Browne in Journal of High Energy Physics (2013), 2013(2), We propose a duality between a higher spin N=1 supergravity on AdS 3 and a large N limit of a family of N=(1,1) superconformal field theories. The gravity theory is an N=1 truncation of the N=2 ... [more ▼] We propose a duality between a higher spin N=1 supergravity on AdS 3 and a large N limit of a family of N=(1,1) superconformal field theories. The gravity theory is an N=1 truncation of the N=2 supergravity found by Prokushkin and Vasiliev, and the dual conformal field theory is defined by a supersymmetric coset model. We check this conjecture by comparing one loop partition functions and find agreement. Moreover, we study the symmetry of the dual coset model and in particular compute fields of the coset algebra of dimension 3/2, 2, 2 and 5/2 explicitly. © 2013 SISSA, Trieste, Italy. [less ▲] Detailed reference viewed: 54 (3 UL) |
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