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PreprintCC BY 4.0arXiv

New RG flows between non-Unitary CFTs from exact massless scattering theories

Abstract

We construct complete solutions of the massless S-matrix bootstrap equations describing a new infinite family of integrable RG flows from the higher-fusion-level minimal models M(3,2n+3;n) to the non-unitary Virasoro minimal models M(2,2n+3), including a flow from M(3,5) to the Yang--Lee CFT M(2,5) when n=1. We provide strong evidence for this identification by matching conformal perturbation theory around the UV fixed points with the small-volume expansion of the corresponding thermodynamic Bethe ansatz equations. We further show that a family of non-invertible Verlinde defect lines is preserved along the flows.

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BibTeX
@misc{ahn2026flows,
  title = {{New RG flows between non-Unitary CFTs from exact massless scattering theories}},
  author = {Changrim Ahn and Zoltan Bajnok and Soma Elek},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2608.24385},
  eprint = {2608.24385},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.24385},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - New RG flows between non-Unitary CFTs from exact massless scattering theories
AU  - Changrim Ahn
AU  - Zoltan Bajnok
AU  - Soma Elek
PY  - 2026
DA  - 2026/09/29
PB  - arXiv
DO  - 10.48550/arxiv.2608.24385
UR  - https://arxiv.org/abs/2608.24385
AB  - We construct complete solutions of the massless S-matrix bootstrap equations describing a new infinite family of integrable RG flows from the higher-fusion-level minimal models M(3,2n+3;n) to the non-unitary Virasoro minimal models M(2,2n+3), including a flow from M(3,5) to the Yang--Lee CFT M(2,5) when n=1. We provide strong evidence for this identification by matching conformal perturbation theory around the UV fixed points with the small-volume expansion of the corresponding thermodynamic Bethe ansatz equations. We further show that a family of non-invertible Verlinde defect lines is preserved along the flows.
ER  -