4 papers
The semi-infinite cohomology of Weyl modules with two singular points
Giorgia Fortuna, Davide Lombardo, Andrea Maffei +1
In their study of spherical representations of an affine Lie algebra at the critical level and of unramified opers, Frenkel and Gaitsgory introduced what they called the Weyl modul…
Local opers with two singularities: the case of
Giorgia Fortuna, Davide Lombardo, Andrea Maffei +1
We study local opers with two singularities for the case of the Lie algebra sl(2), and discuss their connection with a two-variables extension of the affine Lie algebra. We prove a…
Twisted global section functor for D-modules on affine Grassmannian
Tsao-Hsien Chen, Giorgia Fortuna
For each integral dominant weight , we construct a twisted global section functor from the category of critical twisted -modules on affine Grassmannian to the category…
W-algebras and chiral differential operators at the critical Level
Giorgia Fortuna
Let be the chiral algebra corresponding to the affine Kac-Moody algebra at the critical level . Let be the cen…