2012/10/31 by Pawel Caputa, Paweł Caputa, Badr Awad Elseid Mohammed
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Conjecture #Cosmology and Gravitation Theories #Field (mathematics) #Field theory (psychology) #Gauge theory #Gravitation #Graviton #Jacobi polynomials #Limit (mathematics) #Macdonald polynomials #Mathematical analysis #Mathematical physics #Mathematics #Orthogonal polynomials #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum mechanics #Schur polynomial #TRACE (psycholinguistics) #Theoretical physics #hep-th
paper · pdf · doi:10.1007/jhep01(2013)055
1+31 pages, 2 figures, v2: Typos fixed and ref. added
arxiv created 2012/11/19 · openalex publication_date 2013/01/01 · arxiv updated 2015/06/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.