Size of bulk fermions in the SYK model
| Autor: | Pengfei Zhang, Yuri D. Lensky, Xiao-Liang Qi |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
High Energy Physics - Theory
Physics Nuclear and High Energy Physics Distribution (number theory) 010308 nuclear & particles physics Space-Time Symmetries Boundary (topology) Duality (optimization) FOS: Physical sciences Fermion AdS-CFT Correspondence 01 natural sciences Quantum chaos AdS/CFT correspondence Operator (computer programming) High Energy Physics - Theory (hep-th) 0103 physical sciences Models of Quantum Gravity Quantum gravity lcsh:QC770-798 lcsh:Nuclear and particle physics. Atomic energy. Radioactivity 010306 general physics 2D Gravity Mathematical physics |
| Zdroj: | Journal of High Energy Physics, Vol 2020, Iss 10, Pp 1-41 (2020) Journal of High Energy Physics |
| Popis: | The study of quantum gravity in the form of the holographic duality has uncovered and motivated the detailed investigation of various diagnostics of quantum chaos. One such measure is the operator size distribution, which characterizes the size of the support region of an operator and its evolution under Heisenberg evolution. In this work, we examine the role of the operator size distribution in holographic duality for the Sachdev-Ye-Kitaev (SYK) model. Using an explicit construction of AdS$_2$ bulk fermion operators in a putative dual of the low temperature SYK model, we study the operator size distribution of the boundary and bulk fermions. Our result provides a direct derivation of the relationship between (effective) operator size of both the boundary and bulk fermions and bulk $\text{SL}(2; \mathbb{R})$ generators. Comment: References and minor clarifications added, a typo fix, updated to reflect JHEP version; 41 pages, 10 figures |
| Databáze: | OpenAIRE |
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