The spectrum of perturbed (3, 10) minimal model

Andrei Katsevich

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arXiv · 2410.18069

The spectrum of perturbed (3, 10) minimal model

Andrei Katsevich

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

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Andrei Katsevich. 2024-10-23. The spectrum of perturbed (3, 10) minimal model. https://arxiv.org/abs/2410.18069

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