Speaker
Tommaso Macrelli
(University of Surrey)
Description
Higher algebraic structures are ubiquitous in fundamental physics. For instance, $A_\infty$- and $L_\infty$-algebras emerge in the context of string field theory. Importantly, via the Batalin-Vilkovisky formalism, any Lagrangian field theory admits an $L_\infty$-algebra that governs all of its physics including field equations, symmetries, and Noether identities. In this talk, I will explain the connection between higher algebraic structures and tree-level scattering amplitudes. In particular, I will prove that powerful recursive methods, such as the Berends-Giele gluon scattering recursion relation, emerge very naturally and straightforwardly in any Lagrangian field theory when using the $L_\infty$-algebra language.
Primary authors
Tommaso Macrelli
(University of Surrey)
Dr
Christian Saemann
(Heriot–Watt University)
Dr
Martin Wolf
(University of Surrey)
