Quantum Complexity of $T\bar{T}$-deformation and Its Implications
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866917800345337856 |
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| author | Astaneh, Amin Faraji |
| author_facet | Astaneh, Amin Faraji |
| contents | We employ holography to calculate the quantum complexity of $T\bar{T}$-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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_06055 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantum Complexity of $T\bar{T}$-deformation and Its Implications Astaneh, Amin Faraji High Energy Physics - Theory General Relativity and Quantum Cosmology We employ holography to calculate the quantum complexity of $T\bar{T}$-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. |
| title | Quantum Complexity of $T\bar{T}$-deformation and Its Implications |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2408.06055 |