“School of Particles And Accelerator”
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Paper IPM / Particles And Accelerator / 14548 |
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Abstract: | |
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 ∫ d4x√g RO2 to a conformal value
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