Exact Large R-charge Correlators in ABJM Theory

Details Exact Large R-charge Correlators in ABJM Theory Exact Large R-charge Correlators in ABJM Theory

2011-05-01

arxiv.org/abs/1105.0218v2

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, 1 figure, revised version, large N expansion is corrected, to appear JHEP

Scientific paper

We construct a class of operators, given by Schur polynomials, in ABJM theory. By computing two point functions at finite $N$ we confirm these are diagonal for this class of operators in the free field limit. We also calculate exact three and multi point correlators in the zero coupling limit. Finally, we consider a particular nontrivial background produced by an operator with an $R$-charge of $O(N^2$. We show that the nonplanar corrections (which can no longer be neglected, even at large $N$) can be resummed to give a $1/(N+M)$ expansion for correlators computed in this background.

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