PIRSA:26010087

Video URL

https://pirsa.org/26010087

Coexact BV Algebras and Classical Colour-Kinematics Duality

Medina, A. (2026). Coexact BV Algebras and Classical Colour-Kinematics Duality. Perimeter Institute for Theoretical Physics. https://pirsa.org/26010087

Medina, Anibal. Coexact BV Algebras and Classical Colour-Kinematics Duality. Perimeter Institute for Theoretical Physics, Jan. 29, 2026, https://pirsa.org/26010087 

          @misc{ scivideos_PIRSA:26010087,
            doi = {10.48660/26010087},
            url = {https://pirsa.org/26010087},
            author = {Medina, Anibal},
            keywords = {Mathematical physics},
            language = {en},
            title = {Coexact BV Algebras and Classical Colour-Kinematics Duality},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2026},
            month = {jan},
            note = {PIRSA:26010087 see, \url{https://scivideos.org/pirsa/26010087}}
          }

Anibal Medina Instituto de Fisica de la Plata (IFLP)

Talk numberPIRSA:26010087
DOI10.48660/26010087
Source RepositoryPIRSA
Collection
Talk Type Scientific Series
Subject

Abstract

The search for algebraic foundations of colour-kinematics duality and the double-copy construction has brought into focus a generalization of Batalin--Vilkovisky algebras, referred to here as coexact BV-algebras and as $\textrm{BV}^\square$-algebras in other sources. While these structures capture the cubic sector, they fail to encode higher-valence phenomena, for which a homotopy-theoretic extension becomes necessary. This work introduces a conceptual notion of homotopy coexact BV-algebra, defined through the homotopical interplay of commutative and BV structures, and provides a concrete model in terms of generators and relations, obtained through an extension the theory of Koszul duality for operads.