%0 Journal Article %1 Gaberdiel2011Limits %A Gaberdiel, Matthias R. %A Suchanek, Paulina %D 2011 %K 2d-cft, ads3-cft2, higher-spin, vasiliev, wn-algebras %T Limits of minimal models and continuous orbifolds %U http://arxiv.org/abs/1112.1708 %X The lambda=0 't Hooft limit of the 2d W\_N 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.

@article{Gaberdiel2011Limits, abstract = {{The lambda=0 't Hooft limit of the 2d W\_N 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.}}, added-at = {2019-02-26T10:37:35.000+0100}, archiveprefix = {arXiv}, author = {Gaberdiel, Matthias R. and Suchanek, Paulina}, biburl = {https://www.bibsonomy.org/bibtex/2c86e17f2be983abeed132b6f4f678e0c/acastro}, citeulike-article-id = {10108034}, citeulike-linkout-0 = {http://arxiv.org/abs/1112.1708}, citeulike-linkout-1 = {http://arxiv.org/pdf/1112.1708}, day = 7, eprint = {1112.1708}, interhash = {1498ce8e88c59ba3cac1d7cd217dce69}, intrahash = {c86e17f2be983abeed132b6f4f678e0c}, keywords = {2d-cft, ads3-cft2, higher-spin, vasiliev, wn-algebras}, month = dec, posted-at = {2011-12-09 02:47:13}, priority = {2}, timestamp = {2019-02-26T10:37:35.000+0100}, title = {{Limits of minimal models and continuous orbifolds}}, url = {http://arxiv.org/abs/1112.1708}, year = 2011 }