Free field realisation of boundary vertex algebras for Abelian gauge theories in three dimensions

C Beem, AEV Ferrari - arXiv preprint arXiv:2304.11055, 2023 - arxiv.org
We study the boundary vertex algebras of $ A $-twisted $\mathcal {N}= 4$ Abelian gauge
theories in three dimensions. These are identified with the BRST quotient (semi-infinite …

OF CONICAL SYMPLECTIC RESOLUTIONS Quantizations of conical symplectic resolutions I: local and global structure

T Braden, N Proudfoot, B Webster - Astérisque, 2016 - smf.emath.fr
The dazzling success of algebraic geometry... has so much reorientated the field that one
particular protagonist has suggested, no doubt with much justification, that enveloping …

Quantizations of conical symplectic resolutions I: local and global structure

T Braden, N Proudfoot, B Webster - arXiv preprint arXiv:1208.3863, 2012 - arxiv.org
We re-examine some topics in representation theory of Lie algebras and Springer theory in
a more general context, viewing the universal enveloping algebra as an example of the …

A survey of hypertoric geometry and topology

NJ Proudfoot - arXiv preprint arXiv:0705.4236, 2007 - arxiv.org
Hypertoric varieties are quaternionic analogues of toric varieties, important for their
interaction with the combinatorics of matroids as well as for their prominent place in the …

Intersection cohomology of hypertoric varieties

N Proudfoot, B Webster - arXiv preprint math/0411350, 2004 - arxiv.org
A hypertoric variety is a quaternionic analogue of a toric variety. Just as the topology of toric
varieties is closely related to the combinatorics of polytopes, the topology of hypertoric …

Homological mirror symmetry for hypertoric varieties I

M McBreen, B Webster - arXiv preprint arXiv:1804.10646, 2018 - arxiv.org
We consider homological mirror symmetry in the context of hypertoric varieties, showing that
appropriate categories of B-branes (that is, coherent sheaves) on an additive hypertoric …

A Superconformal Index for HyperK\"{a} hler Cones

AE Barns-Graham, N Dorey - arXiv preprint arXiv:1812.04565, 2018 - arxiv.org
We define an index for $\mathfrak {osp}(4^{*}| 4) $ superconformal quantum mechanics on a
hyperK\"{a} hler cone. The index is defined on an equivariant symplectic resolution of the …

Parallels between moduli of quiver representations and vector bundles over curves

V Hoskins - SIGMA. Symmetry, Integrability and Geometry: Methods …, 2018 - emis.de
This is a review article exploring similarities between moduli of quiver representations and
moduli of vector bundles over a smooth projective curve. After describing the basic …

[PDF][PDF] Hamiltonian symmetries and reduction in generalized geometry

S Hu - 2009 - scholars.wlu.ca
A closed 3-form H∈ Ω 3 0 (M) defines an extension of Γ (TM) by Ω2 0 (M). This fact leads to
the definition of the group of H-twisted Hamiltonian symmetries Ham (M, J; H) as well as …

[PDF][PDF] Dualities and Categorical Structures from 2D Up

V Pasquarella - arXiv preprint arXiv:2406.11964, 2024 - arxiv.org
arXiv:2406.11964v1 [hep-th] 17 Jun 2024 Page 1 Dualities and Categorical Structures from
2D Up Veronica Pasquarella Department of Applied Mathematics and Theoretical Physics (DAMTP) …