Reconstructing Conformal Field Theoretical Composition with Transformers

We study the use of transformers to decompose tensor product of Rational Conformal Field Theories (RCFTs) based on their low-lying spectra. We achieve 98% in-domain performance and show that our method generalizes to RCFTs with larger central charge and unseen classes of RCFTs by adding a small number of out-domain examples. Our works shows that transformers can exploit the structure of RCFT data, which has applications from statistical physics to string theory.