The swampland conjectures suggest that many seemingly realistic low-energy quantum field theories cannot be extended to UV-complete theories of quantum gravity, and that supersymmetry is essential for stable AdS-vacua. However, a landscape of non-supersymmetric lines of fixed points can be defined in d=3 via Chern-Simons theory coupled to bifundamental matter, raising the question of whether these theories possess (meta)stable AdS duals.
This talk explores the stability of the quantum effective potential (generalizing the Bardeen-Moshe-Bander (BMB) phenomena) and the existence of generalized Pisarski fixed points for a theory containing bifundamental O(M)×O(N) scalars with a marginal sextic potential. Building on earlier work by Kapoor and SP (2023), we work in the large-N vector model limit where N is very large and M is finite, which allows us to use large $N$ vector model techniques to determine the stable region. We gauge the O(M) symmetry with a Chern-Simons gauge field and compute the exact 1/N beta-function of the theory. We also compute the BMB stable region and determine the fixed points of the beta function as a function of the Chern-Simons 't Hooft coupling λ=M/k. We ask whether any of these fixed points exist in the BMB stable region (i.e. the region where the effective potential is stable). Preliminary results suggest that when $M>2$, no fixed points exist in the stable region when the Chern-Simons interaction is non-zero; a result that provides non-trivial support to the swampland conjectures.
Zoom link: https://icts-res-in.zoom.us/j/88092766911?pwd=R3ZrVk9yeW96ZmQ4ZG9KRzVhenRKZz09
Meeting ID: 880 9276 6911
Passcode: 232322