MS Seminar (Mathematics - String Theory)

Speaker: Leonardo Senatore (ETH Zurich)
Title: Positivity bounds on effective field theories with spontaneously broken Lorentz invariance
Date (JST): Tue, Oct 04, 2022, 15:00 - 16:30
Place: Zoom
Abstract: We derive positivity bounds on EFT coefficients in theories where boosts are spontaneously broken. We employ the analytic properties of the retarded Green’s function of conserved currents (or of the stress-energy tensor) and assume the theory becomes conformal in the UV. The method is general and applicable to both cosmology and condensed matter systems. As a concrete example, we look at the EFT of conformal superfluids which describes the universal low-energy dynamics of CFT’s at large chemical potential and we derive inequalities on the coefficients of the operators, in three dimensions, at NLO and NNLO.