- Journal Article
Rights / licenseCreative Commons Attribution 4.0 International
The main objective of this work is to construct and classify the most general classical and quantum N = 1 W ∞-algebras generated by the same spins as the singlet algebra of N fermions and N bosons in the vector representation of O(N ) in the N → ∞ limit. This type of algebras appears in a recent N = 1 version of the minimal model holography. Our analysis strongly suggests that there is a one parameter family W ∞[μ] of such algebras at every given central charge. Relying on this assumption, we identify various truncations of W ∞[μ] with, on the one hand, (orbifolds of) the Drinfel’d-Sokolov reductions of the Lie superalgebras B(n, n), B(n − 1, n), D(n, n) and D(n + 1, n), and, on the other hand, (orbifolds of) three N = 1 cosets. After a closer inspection we show that these cosets can be realized as a Drinfel’d-Sokolov reduction of B(n, n), D(n, n) and D(n + 1, n). We then discuss the implications of our findings for the quantum version of the N = 1 minimal model holography. Show more
Journal / seriesJournal of High Energy Physics
Pages / Article No.
SubjectConformal and W Symmetry; AdS-CFT Correspondence
Organisational unit03657 - Gaberdiel, Matthias / Gaberdiel, Matthias
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