UV completion of 2D Ising CFT:a golden E8 massless S-matrix
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 E8 spectrum, we find exactly four completions, arising from higher-T T-type deformations, including a previously unknown ``golden flow'' whose UV fixed point is a diagonal su(2) coset CFT (c=25/14) along Δ rel=2/7. A universal Fibonacci/E8 structure governs the R--L adjacency matrices and the Y-system periods, so that the E8 symmetry persists across all RG scales.
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