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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-Verlag

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10.1002/asna.19041671603

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1029-8479

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The coset spin4 Casimir operator and its threepo

Authors: Changhyun Ahn
Publish Date: 2012/02/10
Volume: 2012, Issue: 2, Pages: 27-
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Abstract

We find the GKO coset construction of the dimension 4 Casimir operator that contains the quartic WZW currents contracted with completely symmetric SUN invariant tensors of ranks 4 3 and 2 The requirements that the operator product expansion with the diagonal current is regular and it should be primary under the coset Virasoro generator of dimension 2 fix all the coefficients in spin4 current up to two unknown coefficients The operator product expansion of coset primary spin3 field with itself fixes them completely We compute the threepoint functions with scalars for all values of the ’t Hooft coupling in the large N limit At fixed ’t Hooft coupling these threepoint functions are dual to that found by Chang and Yin recently in the undeformed AdS3 bulk theory higher spin gravity with matter

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