76 citations · 399 across the 12 of their papers we have counts for
12 papers
Double-Copying Self-Dual Yang-Mills Theory to Self-Dual Gravity on Twistor Space
Leron Borsten, Branislav Jurco, Hyungrok Kim +3
We construct a simple Lorentz-invariant action for maximally supersymmetric self-dual Yang-Mills theory that manifests colour-kinematics duality. We also show that this action doub…
Double Copy from Tensor Products of Metric BV-algebras
Leron Borsten, Branislav Jurco, Hyungrok Kim +3
Field theories with kinematic Lie algebras, such as field theories featuring colour-kinematics duality, possess an underlying algebraic structure known as BV${}^{\color{gray} \blac…
Tree-Level Color-Kinematics Duality from Pure Spinor Actions
Leron Borsten, Branislav Jurco, Hyungrok Kim +3
We prove that the tree-level scattering amplitudes for (super) Yang-Mills theory in arbitrary dimensions and for M2-brane models exhibit color-kinematics (CK) duality. Our proof fo…
Colour-kinematics duality, double copy, and homotopy algebras
Leron Borsten, Hyungrok Kim, Branislav Jurčo +3
Colour-kinematics duality is a remarkable property of Yang-Mills theory. Its validity implies a relation between gauge theory and gravity scattering amplitudes, known as double cop…
Kinematic Lie Algebras From Twistor Spaces
Leron Borsten, Branislav Jurco, Hyungrok Kim +3
We analyze theories with color-kinematics duality from an algebraic perspective and find that any such theory has an underlying BV-algebra structure…
Tree-Level Color-Kinematics Duality Implies Loop-Level Color-Kinematics Duality up to Counterterms
Leron Borsten, Branislav Jurco, Hyungrok Kim +3
Color-kinematics (CK) duality is a remarkable symmetry of gluon amplitudes that is the key to the double copy which links gauge theory and gravity amplitudes. Here we show that the…
Double Copy from Homotopy Algebras
Leron Borsten, Branislav Jurco, Hyungrok Kim +3
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 a…
BRST-Lagrangian Double Copy of Yang-Mills Theory
Leron Borsten, Branislav Jurco, Hyungrok Kim +3
We show that the double copy of gauge theory amplitudes to supergravity amplitudes extends from tree level to loop level. We first explain that color-kinematic dual…
Perturbative Quantum Field Theory and Homotopy Algebras
Branislav Jurco, Hyungrok Kim, Tommaso Macrelli +2
We review the homotopy algebraic perspective on perturbative quantum field theory: classical field theories correspond to homotopy algebras such as - and -algeb…
Loop Amplitudes and Quantum Homotopy Algebras
Branislav Jurco, Tommaso Macrelli, Christian Saemann +1
We derive a recursion relation for loop-level scattering amplitudes of Lagrangian field theories that generalises the tree-level Berends-Giele recursion relation in Yang-Mills theo…
-Algebras, the BV Formalism, and Classical Fields
Branislav Jurco, Tommaso Macrelli, Lorenzo Raspollini +2
We summarise some of our recent works on -algebras and quasi-groups with regard to higher principal bundles and their applications in twistor theory and gauge theory. In…
Scattering Amplitude Recursion Relations in BV Quantisable Theories
Tommaso Macrelli, Christian Saemann, Martin Wolf
Tree-level scattering amplitudes in Yang-Mills theory satisfy a recursion relation due to Berends and Giele which yields e.g. the famous Parke-Taylor formula for MHV amplitudes. We…