
Open access
Date
2012-03-30Type
- Journal Article
Citations
Cited 35 times in
Web of Science
Cited 35 times in
Scopus
ETH Bibliography
yes
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Abstract
The λ = 0 ’t Hooft limit of the 2d WN minimal models is shown to be equivalent to the singlet sector of a free boson theory, thus paralleling exactly the structure of the free theory in the Klebanov-Polyakov proposal. In 2d, the singlet sector does not describe a consistent theory by itself since the corresponding partition function is not modular invariant. However, it can be interpreted as the untwisted sector of a continuous orbifold, and this point of view suggests that it can be made consistent by adding in the appropriate twisted sectors. We show that these twisted sectors account for the ‘light states’ that were not included in the original ’t Hooft limit. We also show that, for the Virasoro minimal models (N = 2), the twisted sector of our orbifold agrees precisely with the limit theory of Runkel & Watts. In particular, this implies that our construction satisfies crossing symmetry. Show more
Permanent link
https://doi.org/10.3929/ethz-b-000041327Publication status
publishedExternal links
Journal / series
Journal of High Energy PhysicsVolume
Pages / Article No.
Publisher
SpringerSubject
AdS-CFT Correspondence; Conformal and W SymmetryOrganisational unit
03657 - Gaberdiel, Matthias / Gaberdiel, Matthias
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Show all metadata
Citations
Cited 35 times in
Web of Science
Cited 35 times in
Scopus
ETH Bibliography
yes
Altmetrics