Degenerate chords in double-scaled SYK
High Energy Physics - Theory
2025-12-16 v2
Abstract
The matter operator in the double-scaled SYK model exhibits special properties when its dimension is analytically continued to -1/2. At this dimension, the operator is in a degenerate representation of the q-deformed oscillator algebra and satisfies a null vector equation. Its peculiar fusion property gives rise to recursion relations among matter correlation functions. We find that these relations allow us to determine the two-point function without having to sum over infinitely many chord diagrams.
Cite
@article{arxiv.2512.01177,
title = {Degenerate chords in double-scaled SYK},
author = {Kazuo Hosomichi and Masayoshi Sato},
journal= {arXiv preprint arXiv:2512.01177},
year = {2025}
}
Comments
1+24 pages, minor modifications. references and small paragraphs added