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PreprintCC BY 4.0arXiv

Root systems and Minimal RG flows to c=1 CFTs

  • Changrim Ahn
  • Sara Kostadinovic
  • Francesco Ravanini
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Abstract

We derive exact massless S-matrices from algebraic root-system geometry and derive thermodynamic Bethe ansatz (TBA) equations that generate minimal renormalization group (RG) flows. We show how P. Dorey's geometric construction, originally developed for massive S-matrices, can be extended to massless cases and prove that these new S-matrices straightforwardly satisfy the bootstrap equations. We focus on minimal D_n coset CFTs, which are c=1 free-boson CFTs with compactification radius \sqrt{n/2}, and find their UV completions by analyzing the TBA.

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Cite

BibTeXRIS
BibTeX
@misc{ahn2026root,
  title = {{Root systems and Minimal RG flows to c=1 CFTs}},
  author = {Changrim Ahn and Sara Kostadinovic and Francesco Ravanini},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.08938},
  eprint = {2610.08938},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.08938},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Root systems and Minimal RG flows to c=1 CFTs
AU  - Changrim Ahn
AU  - Sara Kostadinovic
AU  - Francesco Ravanini
PY  - 2026
DA  - 2026/10/06
PB  - arXiv
DO  - 10.48550/arxiv.2610.08938
UR  - https://arxiv.org/abs/2610.08938
AB  - We derive exact massless S-matrices from algebraic root-system geometry and derive thermodynamic Bethe ansatz (TBA) equations that generate minimal renormalization group (RG) flows. We show how P. Dorey's geometric construction, originally developed for massive S-matrices, can be extended to massless cases and prove that these new S-matrices straightforwardly satisfy the bootstrap equations. We focus on minimal D_n coset CFTs, which are c=1 free-boson CFTs with compactification radius \sqrt{n/2}, and find their UV completions by analyzing the TBA.
ER  -