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Title of Journal: J High Energ Phys

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Abbravation: Journal of High Energy Physics

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Springer Berlin Heidelberg

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10.1016/j.bbrc.2016.05.039

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1029-8479

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Spin5 Casimir operator its threepoint functions

Authors: Changhyun Ahn Hyunsu Kim
Publish Date: 2014/01/07
Volume: 2014, Issue: 1, Pages: 12-
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Abstract

By calculating the secondorder pole in the operator product expansion OPE between the spin3 Casimir operator and the spin4 Casimir operator known previously the spin5 Casimir operator is obtained in the coset model based on left A N11oplus A N11 A N11 right at level k 1 This spin5 Casimir operator consisted of the quintic quartic with one derivative and cubic with two derivatives WZW currents contracted with SUN invariant tensors The threepoint functions with two scalars for all values of ’t Hooft coupling in the large N limit were obtained by analyzing the zeromode eigenvalue equations carefully These threepoint functions were dual to those in AdS 3 higher spin gravity theory with matter Furthermore the exact threepoint functions that hold for any finite N and k are obtained The zero mode eigenvalue equations for the spin5 current in CFT coincided with those of the spin5 field in asymptotic symmetry algebra of the higher spin theory on the AdS 3 This paper also describes the structure constant appearing in the spin4 Casimir operator from the OPE between the spin3 Casimir operator and itself for N = 4 5 in the more general coset minimal model with two arbitrary levels k 1 k 2This article is published under an open access license Please check the Copyright Information section for details of this license and what reuse is permitted If your intended use exceeds what is permitted by the license or if you are unable to locate the licence and reuse information please contact the Rights and Permissions team

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