Academic Journal
Matching partition functions of deformed Jackiw-Teitelboim gravity and the complex SYK model
| Τίτλος: | Matching partition functions of deformed Jackiw-Teitelboim gravity and the complex SYK model |
|---|---|
| Συγγραφείς: | Jan C. Louw, Sizheng Cao, Xian-Hui Ge |
| Πηγή: | Physical Review D. 108(8) |
| Στοιχεία εκδότη: | APS, 2023. |
| Έτος έκδοσης: | 2023 |
| Συλλογή: | Physical Review D |
| Περιγραφή: | Motivated by recent analogies between the large-q complex Sachdev-Ye-Kitaev (cSYK) model and charged black holes, we aim to find a concrete gravitation theory with a matching partition function. Our main focus is to match the thermodynamics of the (0+1)-dimensional cSYK model, with that of a (1+1)-dimensional gravitational model. We focus on a model of deformed Jackiw-Teitelboim gravity, characterized by some unknown dilaton potential function and unknown dilaton-to-Maxwell field coupling. By finding the general solutions, we are able to find the Lagrangian which produces the same partition function and equation of state as that of the considered SYK model. We go beyond showing that the thermodynamics overlaps by also showing that the Lyapunov exponents, characterizing the degree of chaos, overlap close to the second-order phase transition. In the low-temperature rescaled regime, there remain open questions about the Lyapunov exponents, given that our analysis ignores the black hole backaction which can be large in this regime. |
| Original Identifier: | 2305.05394 |
| Γλώσσα: | English |
| DOI: | 10.1103/PhysRevD.108.086014 |
| Σύνδεσμος πρόσβασης: | https://doi.org/10.1103/PhysRevD.108.086014 |
| Rights: | CC-BY-4.0 URL: http://creativecommons.org/licenses/by/4.0/ |
| Αριθμός Καταχώρησης: | edscop.80798 |
| Βάση Δεδομένων: | SCOAP3 |
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