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added the full definition to factorization algebra
I added to factorization algebra today's reference from the arxiv:
By the way, I find it useful that in the links for arxiv papers the number is seen/printed.
This is quite interesting (slides, related subject):
I have briefly added at factorization algebra a pointed to Gaitsgory-Francis.
also to chiral algebra
Maybe he changed the affiliation and lost the account. Google for te search
Tsukuba Makoto site:www.ms.u-tokyo.ac.jp
still gives the above URL as the first hit, so the change must have been very recent. The title of the document Tsukuba.pdf is “Recent developments of chiral categories”. Makoto also has a blog
http://makotosakurai.blogspot.com (maybe we should list it under math blogs ? but it seems to be inactive for a while)
where at http://makotosakurai.blogspot.com/2009/07/recent-developments-of-chiral.html is an entry on this topic with the same obsolete pdf link as above.
A higher-dimensional generalization of vertex algebras is suggested in the framework of factorization algebras in
We introduce categories of weak factorization algebras and factorization spaces, and prove that they are equivalent to the categories of ordinary factorization algebras and spaces, respectively. This allows us to define the pullback of a factorization algebra or space by an 'etale morphism of schemes, and hence to define the notion of a universal factorization space or algebra. This provides a generalization to higher dimensions and to non-linear settings of the notion of a vertex algebra.
More references listed at factorization algebra.
added pointer to today’s
Relation with vertex algebras
We construct functors between the category of vertex algebras and that of Costello-Gwilliam factorization algebras on the complex plane ℂ, without analytic structures such as differentiable vector spaces, nuclear spaces, and bornological vector spaces. We prove that this pair of functors is an adjoint pair and that the functor from vertex algebras to factorization algebras is fully faithful. Also, we identify the class of factorization algebras that are categorically equivalent to vertex algebras. To illustrate, we check the compatibility with the commutative structures and the factorization algebras constructed as factorization envelopes, including the Kac-Moody factorization algebra, the quantum observables of the βγ system, and the Virasoro factorization algebra.
added pointer to today’s
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