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arXiv · 2312.03433

$T\bar{T}$ deformation on non-Hermitian two coupled SYK model

Chenhao Zhang·Wenhe Cai
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Abstract

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.

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Chenhao Zhang, Wenhe Cai. 2023-12-06. $T\bar{T}$ deformation on non-Hermitian two coupled SYK model. https://doi.org/10.1103/physrevd.110.086016

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