Open access
Date
2013-01Type
- Journal Article
ETH Bibliography
yes
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Abstract
The even spin We∞ algebra that is generated by the stress energy tensor together with one Virasoro primary field for every even spin s ≥ 4 is analysed systematically by studying the constraints coming from the Jacobi identities. It is found that the algebra is characterised, in addition to the central charge, by one free parameter that can be identified with the self-coupling constant of the spin 4 field. We show that We∞ can be thought of as the quantisation of the asymptotic symmetry algebra of the even higher spin theory on AdS3. On the other hand, We∞ is also quantum equivalent to the so(N) coset algebras, and thus our result establishes an important aspect of the even spin minimal model holography conjecture. The quantum equivalence holds actually at finite central charge, and hence opens the way towards understanding the duality beyond the leading ’t Hooft limit. Show more
Permanent link
https://doi.org/10.3929/ethz-b-000064911Publication status
publishedExternal links
Journal / series
Journal of High Energy PhysicsVolume
Pages / Article No.
Publisher
SpringerSubject
Conformal and W Symmetry; AdS-CFT CorrespondenceOrganisational unit
03657 - Gaberdiel, Matthias / Gaberdiel, Matthias
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ETH Bibliography
yes
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