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Journal of High Energy Physics

, 2014:113

First Online: 16 December 2014Received: 23 September 2014Revised: 29 October 2014Accepted: 30 November 2014 Abstract

We determine the asymptotic symmetry algebra for fields of low spin of the M × M matrix extended Vasiliev theories on AdS3 and find that it agrees with the \ \mathcal{W} \-algebra of their proposed coset duals. Previously it was noticed that for M = 2 the supersymmetry increases from \ \mathcal{N}=2 \ to \ \mathcal{N}=4 \. We study more systematically this type of supersymmetry enhancements and find that, although the higher spin algebra has extended supersymmetry for all M ≥ 2, the corresponding asymptotic symmetry algebra fails to be superconformal except for M = 2, when it has large \ \mathcal{N}=4 \ superconformal symmetry. Moreover, we find that the Vasiliev theories based on \ \mathfrak{s}\mathfrak{h}{\mathfrak{s}}^E\left\mathcal{N}\Big|2,\mathrm{\mathbb{R}} ight \ are special cases of the matrix extended higher spin theories, and hence have the same supersymmetry properties.

KeywordsHigher Spin Symmetry AdS-CFT Correspondence Conformal and W Symmetry Extended Supersymmetry ArXiv ePrint: 1408.5144

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Author: Constantin Candu - Cheng Peng - Carl Vollenweider

Source: https://link.springer.com/

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