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arXiv · 2409.15751

A pedagogical introduction to restricted Schur polynomials with applications to heavy operators

Robert de Mello Koch·Minkyoo Kim·Augustine Larweh Mahu
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Abstract

Recent advances in the study of microstates for 1/16-BPS black holes have inspired renewed interest in the analysis of heavy operators. For these operators, traditional techniques that work effectively in the planar limit are no longer applicable. Methods that are sensitive to finite N effects are required. In particular, trace relations that connect different multi-trace operators must be carefully considered. A powerful approach to tackling this challenge, which utilizes the representation theory of the symmetric group, is provided by restricted Schur polynomials. In this review, we develop these methods with the goal of providing the background needed for their application to 1/16-BPS black holes.

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Robert de Mello Koch, Minkyoo Kim, Augustine Larweh Mahu. 2024-09-24. A pedagogical introduction to restricted Schur polynomials with applications to heavy operators. https://arxiv.org/abs/2409.15751

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