Zobrazeno 1 - 10
of 168
pro vyhledávání: '"LINSHAW, ANDREW R."'
The universal $2$-parameter vertex algebra $W_{\infty}$ of type $W(2,3,4,\dots)$ serves as a classifying object for vertex algebras of type $W(2,3,\dots,N)$ for some $N$ in the sense that under mild hypothesis, all such vertex algebras arise as quoti
Externí odkaz:
http://arxiv.org/abs/2409.03465
We formulate and prove examples of a conjecture which describes the W-algebras in type A as successive quantum Hamiltonian reductions of affine vertex algebras associated with several hook-type nilpotent orbits. This implies that the affine coset sub
Externí odkaz:
http://arxiv.org/abs/2403.08212
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 literature. This property was first studied by Tomoyuki Arakawa and Anne Mo
Externí odkaz:
http://arxiv.org/abs/2211.15032
Autor:
Al-Ali, Masoumah, Linshaw, Andrew R.
Publikováno v:
J. Algebra 625 (2023), 1-27
The universal two-parameter ${\mathcal W}_{\infty}$-algebra is a classifying object for vertex algebras of type ${\mathcal W}(2,3,\dots, N)$ for some $N$. Gaiotto and Rap\v{c}\'ak recently introduced a large family of such vertex algebras called $Y$-
Externí odkaz:
http://arxiv.org/abs/2208.10037
Autor:
Linshaw, Andrew R., Song, Bailin
Publikováno v:
In Journal of Algebra 15 February 2025 664 Part B:289-327
Feigin-Frenkel duality is the isomorphism between the principal $\mathcal{W}$-algebras of a simple Lie algebra $\mathfrak{g}$ and its Langlands dual Lie algebra ${}^L\mathfrak{g}$. A generalization of this duality to a larger family of $\mathcal{W}$-
Externí odkaz:
http://arxiv.org/abs/2203.01843
Autor:
Linshaw, Andrew R., Song, Bailin
Using the invariant theory of arc spaces, we find minimal strong generating sets for certain cosets of affine vertex algebras inside free field algebras that are related to classical Howe duality. These results have several applications. First, for a
Externí odkaz:
http://arxiv.org/abs/2109.09050
Autor:
Linshaw, Andrew R., Song, Bailin
Publikováno v:
Comm. Math. Phys. 399 (2023), 189-202
We give a complete description of the vertex algebra of global sections of the chiral de Rham complex of an arbitrary compact Ricci-flat K\"ahler manifold.
Comment: Minor corrections, final version to appear in Comm. Math. Phys
Comment: Minor corrections, final version to appear in Comm. Math. Phys
Externí odkaz:
http://arxiv.org/abs/2109.08338
Autor:
Linshaw, Andrew R., Song, Bailin
Publikováno v:
Journal of Algebra, Volume 664, (2025), Pages 289-327
This is the third in a series of papers on standard monomial theory and invariant theory of arc spaces. For any algebraically closed field $K$, we prove the arc space analogue of the first and second fundamental theorems of invariant theory for the s
Externí odkaz:
http://arxiv.org/abs/2108.08991
Autor:
Linshaw, Andrew R., Song, Bailin
This is the second in a series of papers on standard monomial theory and invariant theory of arc spaces. For any algebraically closed field $K$, we construct a standard monomial basis for the arc space of the Pfaffian variety over $K$. As an applicat
Externí odkaz:
http://arxiv.org/abs/2108.08989