The spectrum of perturbed (3, 10) minimal model
Andrei Katsevich · arXiv (Cornell University) · 2024
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 $ϕ_{1,3}$ 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 $ϕ_{1,3}$ 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.