Double Copy from Homotopy Algebras
Leron Borsten, Hyungrok Kim, Branislav Jurčo, Tommaso Macrelli, Christian Saemann, Martin Wolf
Abstract
Abstract We show that the BRST Lagrangian double copy construction of supergravity as the ‘square’ of Yang–Mills theory finds a natural interpretation in terms of homotopy algebras. We significantly expand on our previous work arguing the validity of the double copy at the loop level, and we give a detailed derivation of the double‐copied Lagrangian and BRST operator. Our constructions are very general and can be applied to a vast set of examples.
Topics & Concepts
MathematicsHomotopyBRST quantizationPure mathematicsInterpretation (philosophy)LagrangianSupergravitySet (abstract data type)Algebra over a fieldHomotopy lifting propertyTerm (time)Characterization (materials science)Work (physics)Black Holes and Theoretical PhysicsHomotopy and Cohomology in Algebraic TopologyNoncommutative and Quantum Gravity Theories