Correlators of Giant Gravitons from dual ABJ(M) Theory

Abstract

We generalize the operators of ABJM theory, given by Schur polynomials, in ABJ theory by computing the two point functions in the free field and at finite $(N_1,N_2)$ limits. These polynomials are then identified with the states of the dual gravity theory. Further, we compute correlators among giant gravitons as well as between giant gravitons and ordinary gravitons through the corresponding correlators of ABJ(M) theory. Finally, we consider a particular non-trivial background produced by an operator with an $\mathcal{R}$-charge of $O(N^2)$ and find, in presence of this background, due to the contribution of the non-planar corrections, the large $(N_1,N_2)$ expansion is replaced by $1/(N_1+M)$ and $1/(N_2+M)$ respectively.

Latex, 32+1 pages, 2 figures, journal version

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Cited by in corpus (9)

• Giant Gravitons on AdS_4 x CP^3 and their Holographic Three-point Functions
• From Schurs to Giants in ABJ(M)
• 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
• Finite N Quiver Gauge Theory
• Heavy Operators in Superconformal Chern-Simons Theory
• Three-Point Functions in ABJM and Bethe Ansatz