More on doubled Hilbert space in double-scaled SYK

2024/04/03 by Kazumi Okuyama, Okuyama, Kazumi · 7 citations
Computer Science · Mathematics · #Advanced Topics in Algebra #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Matrix Theory and Algorithms

paper · pdf · doi:10.48550/arxiv.2404.02833

openalex publication_date 2024/04/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We continue our study of the doubled Hilbert space formalism of double-scaled SYK model initiated in [arXiv:2401.07403]. We show that the 1-particle Hilbert space introduced by Lin and Stanford in [arXiv:2307.15725] is related to the doubled Hilbert space H₀⊗ H₀ of the 0-particle Hilbert space H₀ by some linear isomorphism C. It turns out that the entangler and disentangler appeared in our previous study are given by the dual (or adjoint) of C^-1 and C.

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