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Paper   IPM / Particles / 15858
School of Particles and Accelerator
  Title:   Path Integral Optimization for TTbar Deformation
1.  Ghadir Jafari
2.  Ali Naseh
3.  Hamed Zolfi
  Status:   Published
  Journal: Phys. Rev. D
  No.:  026007
  Vol.:  101
  Year:  2020
  Supported by:  IPM
We use the path integral optimization approach of Caputa, kundu, Miyaji, Takayanagi and Watanabe to find the time slice of geometries dual to vacuum, primary and thermal states in the TT- deformed two dimensional CFTs. The obtained optimized geometries actually capture the entire bulk which fits well with the integrability and expected UV-completeness of TT- deformed CFTs. When deformation parameter is positive, these optimized solutions can be reinterpreted as geometries at finite bulk radius, in agreement with a previous proposal by McGough, Mezei and Verlinde. We also calculate the holographic entanglement entropy and quantum state complexity for these solutions. We show that the complexity of formation for the thermofield double state in the deformed theory is UV finite and it depends to the temperature.

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