symmetric monoidal (∞,1)-category of spectra
algebraic quantum field theory (perturbative, on curved spacetimes, homotopical)
quantum mechanical system, quantum probability
interacting field quantization
A sheaf of vertex operator algebras.
This arises naturally in the descriptions of 2d CFTs such as the 2d (2,0)-superconformal QFT which patchwise on target space is a free field theory, but not globally so.
If the degree-0 part of a sheaf of vertex operator algebras is the structure sheaf of the base space, then one one may think of the whole sheaf as defining a “horizontal categorification” of a vertex operator algebra and hence one also speaks of a vertex operator algebroid.
Formalization of the Witten genus in terms of sheaves of vertex operator algebras is in
Last revised on March 21, 2014 at 08:51:29. See the history of this page for a list of all contributions to it.