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Paper   IPM / Particles / 16784
School of Particles and Accelerator
  Title:   Constraints on anisotropic RG flows from the holographic entanglement entropy
  Author(s): 
1.  Mostafa Ghasemi
2.  Shahrokh Parvizi
  Status:   Published
  Journal: Phys. Rev. D
  No.:  086028
  Vol.:  104
  Year:  2021
  Supported by:  IPM
  Abstract:
In the context of the gauge/gravity duality, using the proposed candidate c-function, which is derived from the entanglement entropy of a strip-shaped region, we investigate the RG flow for d+1-dimensional quantum field theories with broken Lorentz and rotational symmetries in the IR, but preserved conformal invariance in the UV boundary. We examine conditions of monotonicity of the c-function for holographic anisotropic theories dual to the Einstein gravity via the constraints imposed by the null energy conditions. We consider near UV and IR behaviors and identify the sufficient conditions that guarantee the c function decreases monotonically along the RG flows.

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