Andrei Grekov - Kapranov's 3d dg-Virasoro algebra from ambitwistor space
Автор: Anomalology
Загружено: 2024-05-01
Просмотров: 77
Tuesday, April, 30, 2024
Full title: Kapranov's 3d dg-Virasoro algebra from ambitwistor space in terms of generators and relations
In a recent paper, M. Kapranov proposed an infinite dimensional derived analog of the conformal algebra in higher dimensions, which ties together both infinitesimal symmetries and deformations of the conformal structure. Concretely, consider the sheaf of holomorphic contact Hamiltonian vector fields on the ambitwistor space of an n-dimensional complex plane. Kapranov's higher dimensional Virasoro algebra is a derived functor of the global sections of this sheaf. It is endowed with the structure of the dg-algebra through Dold-Kan/Thom-Sullivan correspondence. I will write this algebra down explicitly in terms of generators and relations in the n=3 case.
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