More on doubled Hilbert space in double-scaled SYK
Kazumi Okuyama
Abstract
We continue our study of the doubled Hilbert space formalism of double-scaled SYK model initiated in Okuyama (2024) [7]. We show that the 1-particle Hilbert space introduced by Lin and Stanford (2023) [6] 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.
Topics & Concepts
SykHilbert spaceRigged Hilbert spaceSpace (punctuation)MathematicsPure mathematicsComputer scienceReproducing kernel Hilbert spaceMedicineReceptorOperating systemInternal medicineTyrosine kinaseAdvanced Topics in AlgebraMatrix Theory and AlgorithmsBlack Holes and Theoretical Physics