From the 1 of 15 linked papers with an AI index.
6 papers · 1 filter
W-algebras as conformal extensions of affine VOAs
Dražen AdamoviÄ, Tomoyuki Arakawa, Thomas Creutzig +4
The paper establishes criteria for when a homomorphism from an affine vertex algebra to another vertex superalgebra is conformal and surjective, and applies these criteria to W‑alg…
Deformation rigidity of some simple affine VOAs
Andrew R. Linshaw, Fei Qi
In this paper, we prove that simple affine vertex operator algebras with positive integral levels admit only trivial first-order deformations. Therefore, the deformation rigidity c…
New universal vertex algebras as glueings of the basic ones
Thomas Creutzig, Vladimir Kovalchuk, Andrew R. Linshaw
There are three universal -parameter vertex algebras , , and which are freely gene…
Duality via convolution of W-algebras
Thomas Creutzig, Andrew R. Linshaw, Shigenori Nakatsuka +1
Feigin-Frenkel duality is the isomorphism between the principal -algebras of a simple Lie algebra and its Langlands dual Lie algebra .…
Vertex Algebras and Commutative Algebras
Bong H. Lian, Andrew R. Linshaw
This paper begins with a brief survey of the period prior to and soon after the creation of the theory of vertex operator algebras (VOAs). This survey is intended to highlight some…
Classical freeness of orthosymplectic affine vertex superalgebras
Thomas Creutzig, Andrew R. Linshaw, Bailin Song
The question of when a vertex algebra is a quantization of the arc space of its associated scheme has recently received a lot of attention in both the mathematics and physics liter…