TY - JOUR
T1 - The large N't Hooft limit of coset minimal models
AU - Ahn, Changhyun
PY - 2011
Y1 - 2011
N2 - Recently, Gaberdiel and Gopakumar proposed that the two-dimensional WA N-1 minimal model conformal field theory in the large N't Hooft limit is dual to the higher spin theories on the three-dimensional AdS space with two complex scalars. In this paper, we examine this proposal for the WD N/2 and WBN-1/2 minimal models initiated by Fateev and Lukyanov in 1988. By analyzing the renormalization group flows on these models, we find that the gravity duals in AdS space are higher spin theories coupled to two equally massive real scalar fields. We also describe the large N't Hooft limit for the minimal model of the second parafermion theory.
AB - Recently, Gaberdiel and Gopakumar proposed that the two-dimensional WA N-1 minimal model conformal field theory in the large N't Hooft limit is dual to the higher spin theories on the three-dimensional AdS space with two complex scalars. In this paper, we examine this proposal for the WD N/2 and WBN-1/2 minimal models initiated by Fateev and Lukyanov in 1988. By analyzing the renormalization group flows on these models, we find that the gravity duals in AdS space are higher spin theories coupled to two equally massive real scalar fields. We also describe the large N't Hooft limit for the minimal model of the second parafermion theory.
KW - AdS-CFT correspondence
KW - Conformal and W symmetry
KW - Renormalization group
UR - http://www.scopus.com/inward/record.url?scp=81255177442&partnerID=8YFLogxK
U2 - 10.1007/JHEP10(2011)125
DO - 10.1007/JHEP10(2011)125
M3 - Article
AN - SCOPUS:81255177442
SN - 1029-8479
VL - 2011
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 10
M1 - 125
ER -