TY - JOUR
T1 - On three-point functions in the AdS4/CFT3 correspondence
AU - Bissi, Agnese
AU - Kristjansen, Charlotte Fløe
AU - Martirosyan, Ara
AU - Orselli, Marta
PY - 2013/1/1
Y1 - 2013/1/1
N2 - We calculate planar, tree-level, non-extremal three-point functions of operators belonging to the SU(2)×SU(2) sector of ABJM theory. First, we generalize the determinant representation, found by Foda for the three-point functions of the SU(2) sector of N = 4 SYM, to the present case and find that, up to normalization factors, the ABJM result factorizes into a product of two N = 4 SYM correlation functions. Secondly, we treat the case where two operators are heavy and one is light and BPS, using a coherent state description of the heavy ones. We show that when normalized by the three-point function of three BPS operators the heavy-heavy-light correlation function agrees, in the Frolov-Tseytlin limit, with its string theory counterpart which we calculate holographically.
AB - We calculate planar, tree-level, non-extremal three-point functions of operators belonging to the SU(2)×SU(2) sector of ABJM theory. First, we generalize the determinant representation, found by Foda for the three-point functions of the SU(2) sector of N = 4 SYM, to the present case and find that, up to normalization factors, the ABJM result factorizes into a product of two N = 4 SYM correlation functions. Secondly, we treat the case where two operators are heavy and one is light and BPS, using a coherent state description of the heavy ones. We show that when normalized by the three-point function of three BPS operators the heavy-heavy-light correlation function agrees, in the Frolov-Tseytlin limit, with its string theory counterpart which we calculate holographically.
U2 - 10.1007/jhep01(2013)137
DO - 10.1007/jhep01(2013)137
M3 - Journal article
SN - 1126-6708
VL - 2013
JO - Journal of High Energy Physics (Online)
JF - Journal of High Energy Physics (Online)
IS - 1
M1 - 137
ER -