“School of Particles And Accelerator”

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Paper   IPM / Particles And Accelerator / 14548
School of Particles and Accelerator
  Title:   Scale vs Conformal invariance from Entanglement Entropy
  Author(s):  Ali Naseh
  Status:   Published
  Journal: Phys. Rev. D
  No.:  125015
  Vol.:  94
  Year:  2016
  Supported by:  IPM
For a generic conformal field theory (CFT) in four dimensions, the scale anomaly dictates that the universal part of entanglement entropy across a sphere (Cuniv(S2)) is positive. Based on this fact, we explore the consequences of assuming positive sign for Cuniv(S2) in a four dimensional scale invariant theory (SFT). In absence of a dimension two scalar operator O2 in the spectrum of a SFT, we show that this assumption suggests that SFT is a CFT. In presence of O2, we show that this assumption can fix the coefficient of the nonlinear coupling term ∫ d4xg RO2 to a conformal value

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