Loading...

Path integral optimization for T T deformation path integral optimization for T T ... Ghadir Jafari, Ali Naseh, and Hamed Zolfi

Jafari, G ; Sharif University of Technology | 2020

254 Viewed
  1. Type of Document: Article
  2. DOI: 10.1103/PhysRevD.101.026007
  3. Publisher: American Physical Society , 2020
  4. Abstract:
  5. We use the path integral optimization approach of Caputa, Kundu, Miyaji, Takayanagi, and Watanabe to find the time slice of geometries dual to vacuum, primary, and thermal states in the TT-deformed two-dimensional conformal field theories (CFTs). The obtained optimized geometries actually capture the entire bulk, which fits well with the integrability and expected UV completeness of TT-deformed CFTs. When the deformation parameter is positive, these optimized solutions can be reinterpreted as geometries at finite bulk radius, in agreement with a previous proposal by McGough, Mezei, and Verlinde. We also calculate the holographic entanglement entropy and quantum state complexity for these solutions. We show that the complexity of formation for the thermofield double state in the deformed theory is UV finite, and it depends on the temperature. © 2020 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the "https://creativecommons.org/licenses/by/4.0/" Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP3
  6. Keywords:
  7. Complexity ; TT deformation ; Quantum error correction ; Entanglement entropy ; Gauge/gravity duality ; AdS/CFT correspondence
  8. Source: Physical Review D ; Volume 101, Issue 2 , January , 2020
  9. URL: https://journals.aps.org/prd/abstract/10.1103/PhysRevD.101.026007