Key result
The study utilized the Truncated Conformal Space Approach to analyze RG flows in non-unitary minimal models, finding that the M(3, 10) model perturbed by ϕ1,3 flows to a massive phase.
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TCSA numerics support RG flow conjectures in non-unitary models; leaves open full analytic confirmation for M(3,10).
We study RG flows between non-unitary minimal models and massive quantum theories using Truncated Conformal Space Approach (TCSA). We consider the integrable non-unitary Yang-Lee model perturbed by $iϕ$ and the D-series version of $M(3,10)$ which is a product of two Yang-Lee models, perturbing the latter by relevant operators ϕ1,3 and iϕ⁺1,5. Utilizing the quasi-primary fields we find, TCSA is performed up to the level $N=15$ for $M(2,5)+iϕ$. The conjecture about the $M(3,10)$ perturbed by ϕ1,3 is stated: this theory flows to a massive phase; its spectrum contains a kink and two breathers, whose masses we find. Our TCSA results support the conjecture.
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Andrei Katsevich (2024) studied this question. The study utilized the Truncated Conformal Space Approach to analyze RG flows in non-unitary minimal models, finding that the M(3, 10) model perturbed by ϕ1,3 flows to a massive phase.
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