1. Structure constants of heavy operators in ABJM and ABJ theory
- Author
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Gaoli Chen, Hendrik J.R. Van Zyl, Robert de Mello Koch, and Minkyoo Kim
- Subjects
Physics ,High Energy Physics - Theory ,Pure mathematics ,Structure constants ,010308 nuclear & particles physics ,Computation ,FOS: Physical sciences ,01 natural sciences ,Schur polynomial ,Loop (topology) ,Projection (relational algebra) ,Identity (mathematics) ,Character (mathematics) ,Orthogonality ,High Energy Physics - Theory (hep-th) ,0103 physical sciences ,010306 general physics - Abstract
Efficient and powerful approaches to the computation of correlation functions involving determinant, sub-determinant and permanent operators, as well as traces, have recently been developed in the setting of ${\cal N}=4$ super Yang-Mills theory. In this article we show that they can be extended to ABJM and ABJ theory. After making use of a novel identity which follows from character orthogonality, an integral representation of certain projection operators used to define Schur polynomials is given. This integral representation provides an effective description of the correlation functions of interest. The resulting effective descriptions have ${1\over N}$ as the loop counting parameter, strongly suggesting their relevance for holography., 1+22 pages, 3 Figures
- Published
- 2019