5 papers
Which Functions Admit a Positive Geometry? From Branch Cuts to String Amplitudes
Hyungrok Kim, Jonah Stalknecht
Positive geometry provides a geometric framework where physical observables are encoded as canonical forms associated to regions of kinematic space. In this paper we consider a gen…
Integrability from Homotopy Algebras
Luigi Alfonsi, Leron Borsten, Mehran Jalali Farahani +3
Homotopy algebraic methods have become increasingly influential in studying field theories. We consider semi-holomorphic Chern-Simons theory and its relation with the principal chi…
On coefficients of operator product expansions for quantum field theories with ordinary, holomorphic, and topological spacetime dimensions
Luigi Alfonsi, Hyungrok Kim
In many quantum field theories (such as higher-dimensional holomorphic field theories or raviolo theories), operator product expansions of local operators can have as coefficients…
Full S-matrices and Witten diagrams with (relative) L-infinity algebras
Luigi Alfonsi, Leron Borsten, Hyungrok Kim +2
The -algebra approach to scattering amplitudes elegantly describes the nontrivial part of the -matrix but fails to take into account the trivial part. We argue that th…
Homotopy representations of extended holomorphic symmetry in holomorphic twists
Simon Jonsson, Hyungrok Kim, Charles Alastair Stephen Young
We argue that holomorphic twists of supersymmetric field theories naturally come with a symmetry -algebra that nontrivially extends holomorphic symmetry. This symmetry ac…