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Quantum Anomalies Program Seminar: Justin David (Indian Institute of Science)


Title: A universal correction to higher spin entanglement entropy
Speaker:  Justin David (Indian Institute of Science)
Date: Tuesday, May 13, 2014
Time: 4:00pm – 5:30pm
Place: Seminar Room 313, Simons Center


We consider conformal field theories in 1+1 dimensions with W-algebra symmetries, deformed by a chemical potential mu for the spin-three current. We show that the order mu^2 correction to the Re’nyi and
entanglement entropies of a single interval in the deformed theory, on the infinite spatial line and at finite temperature, is universal. The correction is completely determined by the operator product expansion of
two spin-three currents, and by the expectation values of the stress tensor, its descendants and its composites, evaluated on the n-sheeted Riemann surface branched along the interval. This explains the recently
found agreement of the order mu^2 correction across distinct free field CFTs and higher spin black hole solutions holographically dual to CFTs with W-symmetry.


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