9 papers
Lecture Notes on Statistical Physics and Neural Networks
Olaf Hohm
These lecture notes introduce some topics of classical statistical physics, particularly those that are relevant for neural networks and deep learning. Statistical physics is treat…
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}…
The Double Copy of Maximal Supersymmetry in
Roberto Bonezzi, Giuseppe Casale, Olaf Hohm
We continue the program of using homotopy algebras to obtain off-shell, local and gauge redundant derivations of the double copy relations between gauge theory and gravity. We appl…
The Double Copy of Maximal Supersymmetry in
Roberto Bonezzi, Giuseppe Casale, Olaf Hohm
We realize off-shell, local and gauge invariant supergravity in , to cubic order in fields, as the double copy of super Yang-Mills theory (SYM). Employing the homo…
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…