Reconstructing conformal field theoretical compositions with Transformers
Provides a new tool for bulk reconstruction in AdS/CFT, addressing a combinatorial challenge for theoretical physicists.
Transformers reconstruct compositions of 2D rational CFT tensor products from low-energy spectra with 98% accuracy, generalizing to larger central charges and unseen RCFT classes with few out-of-domain examples.
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 point towards a new tool for bulk reconstruction in AdS/CFT.