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Quantum complexity of TT¯-deformation and its implications

Faraji Astaneh, A ; Sharif University of Technology | 2024

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  1. Type of Document: Article
  2. DOI: 10.1007/JHEP10(2024)059
  3. Publisher: 2024
  4. Abstract:
  5. We employ holography to calculate the quantum complexity of TT¯-deformation, utilizing the complexity equals volume (CV) and the complexity equals action (CA) proposals within the bulk spacetime with a finite radius cutoff. We find that the complexity of the deformed theory differs from the renormalized complexity of the original theory by a geometric functional: the bending (Willmore) energy of the time-constant slice of the base manifold. We use this result to propose an unambiguous scheme for calculating holographic quantum complexity through the CA proposal. © The Author(s) 2024
  6. Keywords:
  7. AdS-CFT Correspondence ; Gauge-Gravity Correspondence ; Scale and Conformal Symmetries
  8. Source: Journal of High Energy Physics ; Volume 2024, Issue 10 , 2024 ; 10298479 (ISSN)
  9. URL: https://link.springer.com/article/10.1007/JHEP10(2024)059