The shockwave analysis and pole-skipping method are employed to compute the parameters of chaos, namely, the Lyapunov exponent \(\lambda _L\) and butterfly velocity \(v_B\) , in presence of nonconformality. Within the framework of gauge/gravity duality, nonconformality in the dual field theory is incorporated by employing a Liouville-type dilaton potential in the gravitational theory. Furthermore, the effects of chaos on the correlations and spreading of entanglement have been quantified by computing holographic thermo-mutual information and entanglement velocity \(v_E\) .

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Chaos, Nonconformality and Holography

  • Ashis Saha,
  • Sunandan Gangopadhyay

摘要

The shockwave analysis and pole-skipping method are employed to compute the parameters of chaos, namely, the Lyapunov exponent \(\lambda _L\) and butterfly velocity \(v_B\) , in presence of nonconformality. Within the framework of gauge/gravity duality, nonconformality in the dual field theory is incorporated by employing a Liouville-type dilaton potential in the gravitational theory. Furthermore, the effects of chaos on the correlations and spreading of entanglement have been quantified by computing holographic thermo-mutual information and entanglement velocity \(v_E\) .