10 citations · 15 across the 8 of their papers we have counts for
8 papers
On the deformation theory of chiral quantizations
Dylan Butson, Sujay Nair
We give an operadic approach to deformation quantization of vertex Poisson algebras, a chiral analogue of the traditional problem of deformation quantization of Poisson algebras. O…
Inverse Hamiltonian reduction for affine W-algebras in type A
Dylan Butson, Sujay Nair
We give a geometric proof of inverse Hamiltonian reduction for all affine W-algebras in type A at generic level, a certain embedding of the affine W-algebra corresponding to an arb…
Inverse Hamiltonian reduction in type A and generalized slices in the affine Grassmannian
Dylan Butson, Sujay Nair
We give a geometric proof of inverse Hamiltonian reduction for all finite W-algebras in type , a certain embedding of the finite W-algebra corresponding to an arbitrary nilpoten…
Vertex algebras from divisors on Calabi-Yau threefolds
Dylan Butson
We construct vertex algebras from divisors on toric Calabi-Yau threefolds , satisfying conjectures of Gaiotto-Rapcak and Feigin-Gukov, as the kernel of scr…
Perverse coherent extensions on Calabi-Yau threefolds and representations of cohomological Hall algebras
Dylan Butson, Miroslav Rapcak
For a toric Calabi-Yau threefold resolution and $M\in \DD^b\Coh(Y)^T$ satisfying some hypotheses, we define a stack $\mf M(Y,M)$ parameterizing \emph{perverse coherent ext…
Equivariant localization in factorization homology and applications in mathematical physics I: Foundations
Dylan Butson
We develop a theory of equivariant factorization algebras on varieties with an action of a connected algebraic group , extending the definitions of Francis-Gaitsgory [FG] and Be…
Equivariant localization in factorization homology and applications in mathematical physics II: Gauge theory applications
Dylan Butson
We give an account of the theory of factorization spaces, categories, functors, and algebras, following the approach of [Ras1]. We apply these results to give geometric constructio…
Degenerate Classical Field Theories and Boundary Theories
Dylan Butson, Philsang Yoo
We introduce a framework for degenerate classical field theories in the BV formalism, which allows us to discuss many interesting examples of theories which do not admit a Lagrangi…