75 citations · 104 across the 9 of their papers we have counts for
9 papers
Raviolo vertex algebras, cochains and conformal blocks
Luigi Alfonsi, Hyungrok Kim, Charles A. S. Young
Raviolo vertex algebras were introduced recently by Garner and Williams in arXiv:2308.04414. Working at the level of cochain complexes, in the present paper we construct spaces of…
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…
Extended Field Theories as higher Kaluza-Klein theories
Luigi Alfonsi
Extended Field Theories include Double Field Theory (DFT) and Exceptional Field Theory, which are respectively the T- and U-duality covariant formulations of the supergravity limit…
Towards an extended/higher correspondence -- Generalised geometry, bundle gerbes and global Double Field Theory
Luigi Alfonsi
In this short paper, we will review the proposal of a correspondence between the doubled geometry of Double Field Theory and the higher geometry of bundle gerbes. Double Field Theo…
Double Field Theory and Geometric Quantisation
Luigi Alfonsi, David S. Berman
We examine various properties of double field theory and the doubled string sigma model in the context of geometric quantisation. In particular we look at T-duality as the symplect…
The puzzle of global Double Field Theory: open problems and the case for a Higher Kaluza-Klein perspective
Luigi Alfonsi
The history of the geometry of Double Field Theory is the history of string theorists' effort to tame higher geometric structures. In this spirit, the first part of this paper will…
Topology and Wilson lines: global aspects of the double copy
Luigi Alfonsi, Chris D. White, Sam Wikeley
The Kerr-Schild double copy relates exact solutions of gauge and gravity theories. In all previous examples, the gravity solution is associated with an abelian-like gauge theory ob…
Global Double Field Theory is Higher Kaluza-Klein Theory
Luigi Alfonsi
Kaluza-Klein Theory states that a metric on the total space of a principal bundle , if it is invariant under the principal action of , naturally reduces to a met…