Swampland Conditions from CFT

Abstract: There are effective field theories that cannot be embedded in any UV complete theory. I will discuss precise bounds on the IR coupling constants of higher derivative interactions from UV consistency. In particular, I will explain how to systematically derive constraints on higher derivative coupling of scalar effective field theories, with and without dynamical gravity, in anti-de Sitter spacetime with large radius by only requiring that the dual CFT obeys the well-established conformal bootstrap axioms. Hence, this set-up avoids many of the loopholes of flat space S-matrix based arguments that lead to similar bounds. As an application, I will use this framework to impose constraints on the low energy effective action associated with unitary RG flows in 4d with a broken global U(1) symmetry in the UV.

other condensed mattersoft condensed matterstatistical mechanicsstrongly correlated electronssuperconductivitygeneral relativity and quantum cosmologyHEP - theorymathematical physicschaotic dynamicsfluid dynamicsquantum physics

Audience: researchers in the topic

Kadanoff seminars