79 citations · 436 across the 28 of their papers we have counts for
32 papers
Towards non-perturbative BV-theory via derived differential geometry
Luigi Alfonsi, Charles A. S. Young
We propose a global geometric framework which allows one to encode a natural non-perturbative generalisation of usual Batalin-Vilkovisky (BV-)theory. Namely, we construct a concret…
Higher current algebras, homotopy Manin triples, and a rectilinear adelic complex
Luigi Alfonsi, Charles A. S. Young
The notion of a Manin triple of Lie algebras admits a generalization, to dg Lie algebras, in which various properties are required to hold only up to homotopy. This paper introduce…
Quartic Hamiltonians, and higher Hamiltonians at next-to-leading order, for the affine Gaudin model
Tommaso Franzini, Charles A. S. Young
In this work we will use a general procedure to construct higher local Hamiltonians for the affine Gaudin model. We focus on the first non-trivial example, the qu…
An analog of the Feigin-Frenkel homomorphism for double loop algebras
Charles A. S. Young
We prove the existence of a homomorphism of vertex algebras, from the vacuum Verma module over the loop algebra of an untwisted affine algebra, whose construction is analogous to t…
Affine opers and conformal affine Toda
Charles A. S. Young
For a Kac-Moody algebra of affine type, we show that there is an -equivariant identification between …
The solutions of Bethe ansatz equation and rational pseudodifferential operators
Chenliang Huang, Evgeny Mukhin, Benoît Vicedo +1
We describe a reproduction procedure which, given a solution of the Gaudin Bethe ansatz equation associated to a tensor product of polynomial modules, produce…