TY - JOUR

T1 - The primary spin-4 Casimir operators in the holographic SO(N) coset minimal models

AU - Ahn, Changhyun

PY - 2012

Y1 - 2012

N2 - Starting from SO(N) current algebra, we construct two lowest primary higher spin-4 Casimir operators which are quartic in spin-1 fields. For N is odd, one of them corresponds to the current in the WBN-1/2 minimal model. For N is even, the other corresponds to the current in the WDN/2 minimal model. These primary higher spin currents, the generators of wedge subalgebra, are obtained from the operator product expansion of fermionic (or bosonic) primary spin-N/2 field with itself in each minimal model respectively. We obtain, indirectly, the three-point functions with two real scalars, in the large N 't Hooft limit, for all values of the 't Hooft coupling which should be dual to the three-point functions in the higher spin AdS 3 gravity with matter.

AB - Starting from SO(N) current algebra, we construct two lowest primary higher spin-4 Casimir operators which are quartic in spin-1 fields. For N is odd, one of them corresponds to the current in the WBN-1/2 minimal model. For N is even, the other corresponds to the current in the WDN/2 minimal model. These primary higher spin currents, the generators of wedge subalgebra, are obtained from the operator product expansion of fermionic (or bosonic) primary spin-N/2 field with itself in each minimal model respectively. We obtain, indirectly, the three-point functions with two real scalars, in the large N 't Hooft limit, for all values of the 't Hooft coupling which should be dual to the three-point functions in the higher spin AdS 3 gravity with matter.

KW - AdS-CFT correspondence

KW - Conformal and W symmetry

UR - http://www.scopus.com/inward/record.url?scp=84861899873&partnerID=8YFLogxK

U2 - 10.1007/JHEP05(2012)040

DO - 10.1007/JHEP05(2012)040

M3 - Article

AN - SCOPUS:84861899873

SN - 1029-8479

VL - 2012

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 5

M1 - 40

ER -