Zobrazeno 1 - 10
of 44
pro vyhledávání: '"Andrew R. Linshaw"'
Publikováno v:
Journal of Algebra. 593:178-192
There is an embedding of affine vertex algebras $V^k(\mathfrak{gl}_n) \hookrightarrow V^k(\mathfrak{sl}_{n+1})$, and the coset $\mathcal{C}^k(n) = \text{Com}(V^k(\mathfrak{gl}_n), V^k(\mathfrak{sl}_{n+1}))$ is a natural generalization of the paraferm
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e195fff9d52b6bbab4baf92b0e2b1f33
https://doi.org/10.1016/j.jalgebra.2021.11.014
https://doi.org/10.1016/j.jalgebra.2021.11.014
Publikováno v:
Transformation Groups. 27:797-832
Various aspects of orbifolds and cosets of the small 𝒩 = 4 superconformal algebra are studied. First, we determine minimal strong generators for generic and specific levels. As a corollary, we obtain the vertex algebra of global sections of the ch
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4a6a07df848af41e8806f1fe86d7221b
https://doi.org/10.1007/s00031-021-09652-1
https://doi.org/10.1007/s00031-021-09652-1
Autor:
Andrew R. Linshaw
Publikováno v:
Compositio Mathematica. 157:12-82
We prove the longstanding physics conjecture that there exists a unique two-parameter ${\mathcal {W}}_{\infty }$-algebra which is freely generated of type ${\mathcal {W}}(2,3,\ldots )$, and generated by the weights $2$ and $3$ fields. Subject to some
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c8a33f2b68501cfa37922eab01353691
https://doi.org/10.1112/s0010437x20007514
https://doi.org/10.1112/s0010437x20007514
Publikováno v:
International Mathematics Research Notices. 2022:2180-2223
Coset constructions of $\mathcal{W}$-algebras have many applications, and were recently given for principal $\mathcal{W}$-algebras of $A$, $D$, and $E$ types by Arakawa together with the first and third authors. In this paper, we give coset construct
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d3913aee3aa53356fcf5f72a926b5fbd
https://doi.org/10.1093/imrn/rnaa078
https://doi.org/10.1093/imrn/rnaa078
Publikováno v:
Communications in Mathematical Physics. 374:1787-1808
We prove some conjectures about vertex algebras which emerge in gauge theory constructions associated to the geometric Langlands program. In particular, we present the conjectural kernel vertex algebra for the $S T^2 S$ duality transformation in $SU(
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e5ab8d04b2dd2839c0f306ddb6a6d23d
https://doi.org/10.1007/s00220-019-03673-4
https://doi.org/10.1007/s00220-019-03673-4
Autor:
Masoumah Al-Ali, Andrew R. Linshaw
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::27376be2f1d49b168bb0ee9e433d6bd8
Autor:
Andrew R. Linshaw, Bailin Song
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fbd7abb8148f9ee2737cf93832bdd8ab
http://arxiv.org/abs/2109.08338
http://arxiv.org/abs/2109.08338
Autor:
Thomas Creutzig, Andrew R. Linshaw
Publikováno v:
Advances in Mathematics. 409:108678
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::547e005609fde807b747119133af2d27
https://doi.org/10.1016/j.aim.2022.108678
https://doi.org/10.1016/j.aim.2022.108678
Autor:
Andrew R Linshaw, Bailin Song
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3731040d11492bb45578e57ddfe5cfec
Autor:
Thomas Creutzig, Andrew R. Linshaw
We prove the conjecture of Gaiotto and Rap\v{c}\'ak that the $Y$-algebras $Y_{L,M,N}[\psi]$ with one of the parameters $L,M,N$ zero, are simple one-parameter quotients of the universal two-parameter $\mathcal{W}_{1+\infty}$-algebra, and satisfy a sym
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::53b9b97648a9e01b5ea8f15fb14d5710
http://arxiv.org/abs/2005.10234
http://arxiv.org/abs/2005.10234