Two-point functions in ABJM matrix model

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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.

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Kubo, N., & Moriyama, S. (2018). Two-point functions in ABJM matrix model. Journal of High Energy Physics, 2018(5). https://doi.org/10.1007/JHEP05(2018)181

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