Asset Details
Do you wish to reserve the book?
The bulk Hilbert space of double scaled SYK
Hey, we have placed the reservation for you!
By the way, why not check out events that you can attend while you pick your title.
Oops! Something went wrong.
Looks like we were not able to place the reservation. Kindly try again later.
Are you sure you want to remove the book from the shelf?
The bulk Hilbert space of double scaled SYK
Do you wish to request the book?
The bulk Hilbert space of double scaled SYK
Please be aware that the book you have requested cannot be checked out. If you would like to checkout this book, you can reserve another copy
We have requested the book for you!
Your request is successful and it will be processed during the Library working hours. Please check the status of your request in My Requests.
Oops! Something went wrong.
Looks like we were not able to place your request. Kindly try again later.
Journal Article
The bulk Hilbert space of double scaled SYK
2022
Overview
A
bstract
The emergence of the bulk Hilbert space is a mysterious concept in holography. In [
1
], the SYK model was solved in the double scaling limit by summing chord diagrams. Here, we explicitly construct the bulk Hilbert space of double scaled SYK by slicing open these chord diagrams; this Hilbert space resembles that of a lattice field theory where the length of the lattice is dynamical and determined by the chord number. Under a calculable bulk-to-boundary map, states of fixed chord number map to particular entangled 2-sided states with a corresponding size. This bulk reconstruction is well-defined even when quantum gravity effects are important. Acting on the double scaled Hilbert space is a Type II
1
algebra of observables, which includes the Hamiltonian and matter operators. In the appropriate quantum Schwarzian limit, we also identify the JT gravitational algebra including the physical SL(2
,
ℝ) symmetry generators, and obtain explicit representations of the algebra using chord diagram techniques.
Publisher
Springer Berlin Heidelberg,Springer Nature B.V,SpringerOpen
