Speaker
Description
In a theory with global symmetries, one can define a notion of charged entanglement entropy, which is a function of the chemical potential conjugate to the charge contained in the entangling region. In this talk, I will show that for a general d(≥3)-dimensional CFT, the leading correction to the uncharged entanglement entropy across a spherical entangling surface is quadratic in the chemical potential, positive definite, and universally controlled by the coefficients of the correlators <JJ> and <TJJ>. This result is motivated by analytic holographic calculations for a special class of higher-curvature gravities in general dimensions as well as for free fields in d=4. A proof for general theories and dimensions follows from previously known universal identities involving the magnetic response of twist operators.
