The spectrum of perturbed (3, 10) minimal model

Abstract

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 $i\varphi$ and the $D$-series version of $M(3,10)$ which is a product of two Yang-Lee models, perturbing the latter by relevant operators ${\varphi }_{1,3}$ and $i{\varphi }_{1,5}^{+}$. Utilizing the quasi-primary fields we find, TCSA is performed up to the level $N=15$ for $M(2,5)+i\varphi$. The conjecture about the $M(3,10)$ perturbed by ${\varphi }_{1,3}$ 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.

26 pages, 18 figures and 7 tables. v2: minor improvements