We propose a duality between the 2d W\_N minimal models in the large N 't
Hooft limit, and a family of higher spin theories on AdS\_3. The 2d CFTs can be
described as WZW coset models, and include, for N=2, the usual Virasoro unitary
series. The dual bulk theory contains, in addition to the massless higher spin
fields, two complex scalars (of equal mass). The mass is directly related to
the 't Hooft coupling constant of the dual CFT. We give convincing evidence
that the spectra of the two theories match precisely for all values of the 't
Hooft coupling. We also show that the RG flows in the 2d CFT agree exactly with
the usual AdS/CFT prediction of the gravity theory. Our proposal is in many
ways analogous to the Klebanov-Polyakov conjecture for an AdS\_4 dual for the
singlet sector of large N vector models.
%0 Journal Article
%1 Gaberdiel2010AdS_3
%A Gaberdiel, Matthias R.
%A Gopakumar, Rajesh
%D 2010
%K 3dgravity, ads3-cft2, arxiv, higher-spin
%T An AdS\_3 Dual for Minimal Model CFTs
%U http://arxiv.org/abs/1011.2986
%X We propose a duality between the 2d W\_N minimal models in the large N 't
Hooft limit, and a family of higher spin theories on AdS\_3. The 2d CFTs can be
described as WZW coset models, and include, for N=2, the usual Virasoro unitary
series. The dual bulk theory contains, in addition to the massless higher spin
fields, two complex scalars (of equal mass). The mass is directly related to
the 't Hooft coupling constant of the dual CFT. We give convincing evidence
that the spectra of the two theories match precisely for all values of the 't
Hooft coupling. We also show that the RG flows in the 2d CFT agree exactly with
the usual AdS/CFT prediction of the gravity theory. Our proposal is in many
ways analogous to the Klebanov-Polyakov conjecture for an AdS\_4 dual for the
singlet sector of large N vector models.
@article{Gaberdiel2010AdS_3,
abstract = {{We propose a duality between the 2d W\_N minimal models in the large N 't
Hooft limit, and a family of higher spin theories on AdS\_3. The 2d CFTs can be
described as WZW coset models, and include, for N=2, the usual Virasoro unitary
series. The dual bulk theory contains, in addition to the massless higher spin
fields, two complex scalars (of equal mass). The mass is directly related to
the 't Hooft coupling constant of the dual CFT. We give convincing evidence
that the spectra of the two theories match precisely for all values of the 't
Hooft coupling. We also show that the RG flows in the 2d CFT agree exactly with
the usual AdS/CFT prediction of the gravity theory. Our proposal is in many
ways analogous to the Klebanov-Polyakov conjecture for an AdS\_4 dual for the
singlet sector of large N vector models.}},
added-at = {2019-02-26T10:37:35.000+0100},
archiveprefix = {arXiv},
author = {Gaberdiel, Matthias R. and Gopakumar, Rajesh},
biburl = {https://www.bibsonomy.org/bibtex/27d01a424b3642f5151cc45c5045a4f94/acastro},
citeulike-article-id = {8247934},
citeulike-linkout-0 = {http://arxiv.org/abs/1011.2986},
citeulike-linkout-1 = {http://arxiv.org/pdf/1011.2986},
day = 5,
eprint = {1011.2986},
interhash = {c59ed97de91ed62f8fe15b0fe467dd51},
intrahash = {7d01a424b3642f5151cc45c5045a4f94},
keywords = {3dgravity, ads3-cft2, arxiv, higher-spin},
month = dec,
posted-at = {2010-11-15 13:39:45},
priority = {2},
timestamp = {2019-02-26T10:37:35.000+0100},
title = {{An AdS\_3 Dual for Minimal Model CFTs}},
url = {http://arxiv.org/abs/1011.2986},
year = 2010
}