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<p>We find complete solutions of <i>S</i>-matrix bootstrap equations for the scatterings of massless particles in (1+1) dimensions with <i>A</i><sub><i>n</i></sub> symmetries. We show that only three types (minimal, diagonal, and saturated cases) of these <i>S</i>-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 <i>S</i>-matrices, we derived the TBA equations and corresponding <i>Y</i>-systems that generate the RG flows between the IR and UV CFTs.</p>

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Massless S-matrix bootstraps and RG flows

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年12月12日

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  • Changrim Ahn

摘要

We find complete solutions of S-matrix bootstrap equations for the scatterings of massless particles in (1+1) dimensions with An 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.