Exact Large R-charge Correlators in ABJM Theory

Abstract

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.

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

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• On the Regularization of Extremal Three-point Functions Involving Giant Gravitons
• Beyond the Planar Limit in ABJM
• Structure constants of heavy operators in ABJM/ABJ Theory
• On Three-point Functions in the AdS_4/CFT_3 Correspondence
• Extremal chiral ring states in AdS/CFT are described by free fermions for a generalized oscillator algebra
• Correlators of Giant Gravitons from dual ABJ(M) Theory
• Finite N Quiver Gauge Theory
• Gauge Invariants and Correlators in Flavoured Quiver Gauge Theories
• S^2 x S^3 geometries in ABJM and giant gravitons
• Heavy Operators in Superconformal Chern-Simons Theory
• Three-Point Functions in ABJM and Bethe Ansatz