4 papers · 1 filter
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…
Double Copy of 3D Chern-Simons Theory and 6D Kodaira-Spencer Gravity
Roberto Bonezzi, Felipe Diaz-Jaramillo, Olaf Hohm
We apply an algebraic double copy construction of gravity from gauge theory to three-dimensional (3D) Chern-Simons theory. The kinematic algebra is the 3D de Rham comple…
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…