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arXiv · 2512.01177

Degenerate chords in double-scaled SYK

Kazuo Hosomichi·Masayoshi Sato
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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.

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Kazuo Hosomichi, Masayoshi Sato. 2025-12-01. Degenerate chords in double-scaled SYK. https://arxiv.org/abs/2512.01177

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