2 papers
math.RT2026
Center of the affine at the critical level and pseudo-differential operators
Dražen AdamoviÄ, Boris Feigin, Shigenori Nakatsuka
We prove that the center of the affine Lie algebra at the critical level is generated by the coefficients in the expansion of the pseudo-differentia…
hep-th2024
Vertex algebras with big center and a Kazhdan-Lusztig Correspondence
Boris L. Feigin, Simon D. Lentner
Certain deformable families of vertex algebras acquire at a limit of the deformation parameter a large center, similar to affine Lie algebras at critical level. Then the vertex alg…