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Paper   IPM / Particles / 15581
School of Particles and Accelerator
  Title:   Complexity growth with Lifshitz scaling and hyperscaling violation
1.  Mohsen Alishahiha
2.  Amin Faraji Astaneh
3.  Mohammad Reza Mohammadi Mozaffar
4.  Ali Mollabashi
  Status:   Published
  Journal: JHEP
  No.:  042
  Vol.:  07
  Year:  2018
  Supported by:  IPM
Using "complexity=action" proposal we study the growth rate of holographic complexity for Lifshitz and hyperscaling violating geometries. We will consider both one and two sided black branes in an Einstein-Maxwell-Dilaton gravitational theory. We find that in either case Lloyds bound is violated and the rate of growth of complexity saturate to a value which is greater than twice the mass of the corresponding black brane. This value reduces to the mass of the black brane in the isotropic case. We show that in two sided black brane the saturation happens from above while for one sided black brane it happens from below.

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