$T\bar{T}$ deformation on non-Hermitian two coupled SYK model
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866929598509350912 |
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| author | Zhang, Chenhao Cai, Wenhe |
| author_facet | Zhang, Chenhao Cai, Wenhe |
| contents | We investigate $T\bar{T}$ deformation on non-Hermitian coupled Sachdev-Ye-Kitaev (SYK) model and the holographic picture. The relationship between ground state and thermofield double state is preserved under the $T\bar{T}$ deformation. We prove that $T\bar{T}$ deformed theory provides a reparameterization in large $N$ limit. These deformation effects is calculated numerically with green functions and free energy. The thermodynamic phase structures show the equivalence of the wormhole-black hole picture between non-Hermitian model and Hermitian model still holds under $T\bar{T}$ deformation. We also study the correlation function in Lorentz time and revival dynamic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_03433 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | $T\bar{T}$ deformation on non-Hermitian two coupled SYK model Zhang, Chenhao Cai, Wenhe High Energy Physics - Theory General Relativity and Quantum Cosmology We investigate $T\bar{T}$ deformation on non-Hermitian coupled Sachdev-Ye-Kitaev (SYK) model and the holographic picture. The relationship between ground state and thermofield double state is preserved under the $T\bar{T}$ deformation. We prove that $T\bar{T}$ deformed theory provides a reparameterization in large $N$ limit. These deformation effects is calculated numerically with green functions and free energy. The thermodynamic phase structures show the equivalence of the wormhole-black hole picture between non-Hermitian model and Hermitian model still holds under $T\bar{T}$ deformation. We also study the correlation function in Lorentz time and revival dynamic. |
| title | $T\bar{T}$ deformation on non-Hermitian two coupled SYK model |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2312.03433 |