Massless S-matrix Bootstraps and RG Flows
High Energy Physics - Theory
2025-09-26 v1
Abstract
We find complete solutions of S-matrix bootstrap equations for the scatterings of massless particles in (1+1) dimensions with A_n symmetries. We show that only three types (minimal, diagonal, and saturated cases) of these S-matrices can generate RG flows that lead to UV-complete theories, and other RG flows predicted in [11] are inconsistent with the bootstrap equations. Using these S-matrices, we derived the TBA equations and corresponding Y-systems that generate the RG flows between the IR and UV CFTs.
Cite
@article{arxiv.2509.20740,
title = {Massless S-matrix Bootstraps and RG Flows},
author = {Changrim Ahn},
journal= {arXiv preprint arXiv:2509.20740},
year = {2025}
}
Comments
15 pages, 4 figures