Massless S-matrix Bootstraps and RG Flows

2025/09/25 by Ahn, Changrim
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2509.20740

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.

Citations

• Infinitely many new renormalization group flows between Virasoro minimal models from non-invertible symmetries
• New Integrable RG flows with Parafermions

Related

• New Integrable RG flows with Parafermions
• Snowmass White Paper: S-matrix Bootstrap
• RG flows and resonance scattering amplitudes
• An Analytical Toolkit for the S-matrix Bootstrap
• Scattering of Massless Particles: Scalars, Gluons and Gravitons