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arXiv · 2606.28783

UV completion of 2D Ising CFT:a golden E_8 massless $S$-matrix

Changrim Ahn·Minkyoo Kim
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Abstract

We present a full classification of UV complete QFTs that RG flow to the 2D Ising CFT by solving the bootstrap equations for massless right--left S-matrices. For the Ising model with E_8 spectrum, we find exactly four completions, arising from higher-T\bar T-type deformations, including a previously unknown ``golden flow'' whose UV fixed point is a diagonal su(2) coset CFT (c=25/14) along \Delta_{\rm rel}=2/7. A universal Fibonacci/E_8 structure governs the R--L adjacency matrices and the Y-system periods, so that the E_8 symmetry persists across all RG scales.

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Changrim Ahn, Minkyoo Kim. 2026-06-27. UV completion of 2D Ising CFT:a golden E_8 massless $S$-matrix. https://arxiv.org/abs/2606.28783

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