TY - JOUR
T1 - A tree-level 3-point function in the su(3)-sector of planar N = 4 SYM
AU - Foda, Omar
AU - Jiang, Yunfeng
AU - Kostov, Ivan
AU - Serban, Didina
PY - 2013/10/1
Y1 - 2013/10/1
N2 - We consider a particular case of the 3-point function of local single-trace operators in the scalar sector of planar N =4 supersymmetric Yang-Mills, where two of the fields are su(3) type, while the third one is su(2) type. We show that this tree-level 3-point function can be expressed in terms of scalar products of su(3) Bethe vectors. Moreover, if the second level Bethe roots of one of the su(3) operators is trivial (set to infinity), this 3- point function can be written in a determinant form. Using the determinant representation, we evaluate the structure constant in the semi-classical limit, when the number of roots goes to infinity.
AB - We consider a particular case of the 3-point function of local single-trace operators in the scalar sector of planar N =4 supersymmetric Yang-Mills, where two of the fields are su(3) type, while the third one is su(2) type. We show that this tree-level 3-point function can be expressed in terms of scalar products of su(3) Bethe vectors. Moreover, if the second level Bethe roots of one of the su(3) operators is trivial (set to infinity), this 3- point function can be written in a determinant form. Using the determinant representation, we evaluate the structure constant in the semi-classical limit, when the number of roots goes to infinity.
KW - AdS-CFT Correspondence
KW - Bethe Ansatz
U2 - 10.1007/JHEP10(2013)138
DO - 10.1007/JHEP10(2013)138
M3 - Article
AN - SCOPUS:84892691536
SN - 1126-6708
VL - 2013
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 10
M1 - 138
ER -