Classification of Coupled Minimal Models with Symmetry Breaking
Published:Dec 29, 2025 18:19
•1 min read
•ArXiv
Analysis
This paper explores the construction of conformal field theories (CFTs) with central charge c>1 by coupling multiple Virasoro minimal models. The key innovation is breaking the full permutation symmetry of the coupled models to smaller subgroups, leading to a wider variety of potential CFTs. The authors rigorously classify fixed points for small numbers of coupled models (N=4,5) and conduct a search for larger N. The identification of fixed points with specific symmetry groups (e.g., PSL2(N), Mathieu group) is particularly significant, as it expands the known landscape of CFTs. The paper's rigorous approach and discovery of new fixed points contribute to our understanding of CFTs beyond the standard minimal models.
Key Takeaways
- •Provides a classification of fixed points in coupled minimal models.
- •Explores symmetry breaking to generate new CFTs.
- •Identifies fixed points with specific finite group symmetries.
- •Contributes to the understanding of CFTs with c>1.
Reference
“The paper rigorously classifies fixed points with N=4,5 and identifies fixed points with finite Lie-type symmetry and a sporadic Mathieu group.”