Affine opers and conformal affine Toda

• Published in: Journal of the London Mathematical Society Vol. 104; no. 5; pp. 2148 - 2207
• Main Author: Young, Charles A. S.
• Format: Journal Article
• Language: English
• Published: 01.12.2021
• Subjects: 17B67 (secondary); 17B69; 81R10; 81R12 (primary)

For g a Kac–Moody algebra of affine type, we show that there is an AutO‐equivariant identification between FunOpg(D), the algebra of functions on the space of g‐opers on the disc, and W⊂π0, the intersection of kernels of screenings inside a vacuum Fock module π0. This kernel W is generated by two st...