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## Joint Theory Seminar: Riccardo Rattazzi

Recent Papers of Riccardo Rattazzi

Description: Joint Theory Seminar

Speaker: Riccardo Rattazzi (EPFL)

Title: Semiclassics, Goldstone Bosons and CFT data

Host: Markus Luty

Room: 432

Abstract: Hellerman et al. (arXiv:1505.01537) have shown that in a generic CFT the spectrum of operators carrying a large U(1) charge can be analyzed semiclassically in an expansion in inverse powers of the charge. The key is the operator state correpondence by which such operators are associated with a finite density

superfluid phase for the theory quantized on the cylinder. The dynamics is dominated by the corresponding Goldstone hydrodynamic mode and the derivative expansion coincides with the inverse charge expansion. I illustrate and hopefully clarify this situation by considering simple quantum mechanical analoques. I then systematize the approach by employing the coset construction for non-linearly realized space-time symmetries. Focussing on CFT3 I illustrate the case of higher rank and non-abelian groups and the computation of higher point functions. Three point function coefficients turn out to satisfy universal scaling laws and correlations as the charge and spin are varied.Date: Monday, November 14, 2016 Time: 1:30pm-2:30pm Duration: 60 minutes Access: Public Created by: High-Energy Seminars Updated: Monday, November 7, 2016 1:23pm Send Reminder: Yes - 3 days 4 hours before event

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