11 papers
Universal quadratic field equations via homotopy algebras
Christoph Chiaffrino, Raji Ashenafi Mamade, Barton Zwiebach
We explain how the 'bar-cobar' construction for homotopy algebras reformulates the equations of motion of arbitrary gauge theories as gauge-covariant quadratic equations for an ext…
Color-kinematics duality from an algebra of superforms
Roberto Bonezzi, Christoph Chiaffrino, Olaf Hohm +1
Color-kinematics duality states that the kinematic numerators of the cubic tree-level Yang-Mills scattering amplitudes obey the same symmetry properties that the color factors obey…
Yang-Mills kinematic algebra via homotopy transfer from a worldline operator algebra
Roberto Bonezzi, Christoph Chiaffrino, Olaf Hohm +1
The homotopy Lie or algebra encoding Yang-Mills theory is the tensor product of a color Lie algebra with the kinematic algebra. We derive this $C_{\infty}…
Off-Shell Quantum Mechanics as Factorization Algebras on Intervals
Christoph Chiaffrino, Noah Hassan, Olaf Hohm
We present, for the harmonic oscillator and the spin- system, an alternative formulation of quantum mechanics that is `off-shell': it is based on classical off-shell c…
Vertex operators for the kinematic algebra of Yang-Mills theory
Roberto Bonezzi, Christoph Chiaffrino, Olaf Hohm
The kinematic algebra of Yang-Mills theory can be understood in the framework of homotopy algebras: the algebra of Yang-Mills theory is the tensor product of the color…
Tree-level Scattering Amplitudes via Homotopy Transfer
Roberto Bonezzi, Christoph Chiaffrino, Felipe Diaz-Jaramillo +1
We formalize the computation of tree-level scattering amplitudes in terms of the homotopy transfer of homotopy algebras, illustrating it with scalar and Yang-Mills theory. Th…