String Theory seminar - Pablo Bueno Seminar

The entanglement entropy in three-dimensional conformal field theories (CFTs) receives a logarithmic contribution characterized by a regulator-independent function a(θ) when the entangling surface contains a sharp corner with opening angle θ. In the smooth-surface limit, (θ → π), this corner contribution vanishes as a(θ) = σ(θ−π)^2. I will review our recent conjecture that for any three-dimensional CFT, this corner coefficient σ is determined by C_T, the coefficient appearing in the two-point function of the stress tensor through the relation σ/CT = π^2/24. I will also describe the extension of this conjecture to general Rényi entropies and higher-dimensional CFTs, and comment on the implications of our findings.