Two-Point Functions in ABJM Matrix Model

Abstract

We introduce non-trivial two-point functions of the super Schur polynomials in the ABJM matrix model and study their exact values with the Fermi gas formalism. We find that, although defined non-trivially, these two-point functions enjoy two simple relations with the one-point functions. One of them is associated with the Littlewood-Richardson rule, while the other is more novel. With plenty of data, we also revisit the one-point functions and study how the diagonal BPS indices are split asymmetrically by the degree difference.

arXiv comment53 pages, 5 eps figures

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• Symmetry Breaking in Quantum Curves and Super Chern-Simons Matrix Models
• Spectral Theories and Topological Strings on del Pezzo Geometries
• Hanany-Witten Transition in Quantum Curves
• Fermi gas approach to general rank theories and quantum curves
• ABJM Matrix Model and 2D Toda Lattice Hierarchy
• Brane Transitions from Exceptional Groups
• Exact results and Schur expansions in quiver Chern-Simons-matter theories
• Duality Cascades and Affine Weyl Groups
• Duality Cascades and Parallelotopes