Plekton–chiral conformal field theory correspondence conjecture

Let “free” plektons denote the class of free plektonic quantum field theories in $2+1$ dimensions, and let chiral conformal quantum field theories be conformal theories on a one-dimensional chiral spacetime. Plekton–chiral correspondence conjecture. “Free” $2+1$-dimensional plektons are in a one-to-one correspondence with chiral conformal quantum field theories. The source presents this as one of two conjectural statements motivated by braid-group representations, fusion laws, and chiral conformal realizations; no general proof or precise construction of the correspondence is supplied.