TT deformation on non-Hermitian two coupled SYK model

Abstract

We investigate TT 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 TT deformation. We prove that TT 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 TT deformation. We also study the correlation function in Lorentz time and revival dynamic.

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