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Journal Articles Journal of High Energy Physics Year : 2013

A tree-level 3-point function in the su(3)-sector of planar N=4 SYM

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Abstract

We classify the 3-point functions of local gauge-invariant single-trace operators in the scalar sector of planar N=4 supersymmetric Yang-Mills involving at least one su(3) operator. In the case of two su(3) and one su(2) operators, the 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.

Dates and versions

cea-01068660 , version 1 (26-09-2014)

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Omar Foda, Yunfeng Jiang, Ivan Kostov, Didina Serban. A tree-level 3-point function in the su(3)-sector of planar N=4 SYM. Journal of High Energy Physics, 2013, 2013 (10), pp.138. ⟨10.1007/JHEP10(2013)138⟩. ⟨cea-01068660⟩
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