From Schurs to Giants in ABJ(M)

Abstract

In this work we consider various correlators with Schur polynomials in ABJ(M) models that on the dual gravity side should correspond to processes involving giant gravitons. Our analysis imposes several constraints on the physics of the probe branes on AdS4xCP3 as well as sheds more light on giant graviton solutions in this background with additional NS B-field. Our main tool is a formula that we derive for extremal n-point functions of the single trace chiral primary operators in the free field theory limit. The formula expresses the correlators in terms of the two-point function of Schur polynomials labeled by hook diagrams and is valid for a large class of gauge theories. In particular, in N = 4 SYM, it proves the conjecture of Beisert et al.

1+31 pages, 2 figures, v2: Typos fixed and ref. added

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Cited by in corpus (17)

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• A basis for large operators in N=4 SYM with orthogonal gauge group
• Form Factors of Chiral Primary Operators at Two Loops in ABJ(M)
• BPS coherent states and localization
• Structure constants of heavy operators in ABJM/ABJ Theory
• Extremal chiral ring states in AdS/CFT are described by free fermions for a generalized oscillator algebra
• Thresholds of Large N Factorization in CFT4 : Exploring bulk spacetime in AdS5
• A giant graviton genealogy
• Finite N Quiver Gauge Theory
• Gauge Invariants and Correlators in Flavoured Quiver Gauge Theories
• Leading finite-size effects on some three-point correlators in AdS_5 x S^5
• S^2 x S^3 geometries in ABJM and giant gravitons
• Correlation functions of the ABJM model
• Heavy Operators in Superconformal Chern-Simons Theory
• Three-Point Functions in ABJM and Bethe Ansatz
• Three-point functions of semiclassical string states and conserved currents in AdS_4 x CP^3