Reconstructing conformal field theoretical compositions with Transformers
We study the use of transformers to reconstruct the compositions of tensor products of two-dimensional rational conformal field theories (RCFTs) based on their low-energy spectra. The task is challenging due to its combinatorial nature. The constituent theories are characterized by their central charges and affine Lie algebra labels. We achieve 98% accuracy in recovering the constituents of tensor products theories constructed from Wess-Zumino-Witten models. We further demonstrate that our method generalizes to CFTs with larger central charge and unseen classes of RCFTs by adding a small number of out-of-domain examples. Our results show that transformers are effective at this task and po...
| Authors | Haotian Cao, Garrett Merz, Kyle Cranmer et al. |
|---|---|
| Primary category | hep-th |
| Published | 1 May 2026 |
| Last updated at source | 1 May 2026 |
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