53 citations · 182 across the 9 of their papers we have counts for
10 papers
Bipartite Graphs, On-Shell Diagrams, and Bipartite Field Theories: a Computational Package in Mathematica
Daniele Galloni
We present bipartiteSUSY, a Mathematica package designed to perform calculations for physical theories based on bipartite graphs. In particular, the package can employ the recently…
Stratifying On-Shell Cluster Varieties: the Geometry of Non-Planar On-Shell Diagrams
Jacob L. Bourjaily, Sebastian Franco, Daniele Galloni +1
The correspondence between on-shell diagrams in maximally supersymmetric Yang-Mills theory and cluster varieties in the Grassmannian remains largely unexplored beyond the planar li…
Positivity Sectors and the Amplituhedron
Daniele Galloni
We initiate a detailed investigation into the assembly of simple amplituhedron-like building blocks to obtain spaces of physical interest. In particular, we describe the geometric…
Non-Planar On-Shell Diagrams
Sebastian Franco, Daniele Galloni, Brenda Penante +1
We initiate a systematic study of non-planar on-shell diagrams in N=4 SYM and develop powerful technology for doing so. We introduce canonical variables generalizing face variables…
Anatomy of the Amplituhedron
Sebastian Franco, Daniele Galloni, Alberto Mariotti +1
We initiate a comprehensive investigation of the geometry of the amplituhedron, a recently found geometric object whose volume calculates the integrand of scattering amplitudes in…
Axion Monodromy Inflation on Warped Throats
Sebastian Franco, Daniele Galloni, Ander Retolaza +1
Recent models of axion monodromy inflation in string theory link the inflationary potential and the moduli stabilization potential. Realistic inflationary models require mechanisms…
Bipartite Field Theories, Cluster Algebras and the Grassmannian
Sebastian Franco, Daniele Galloni, Alberto Mariotti
We review recent progress in Bipartite Field Theories. We cover topics such as their gauge dynamics, emergence of toric Calabi-Yau manifolds as master and moduli spaces, string the…
The Geometry of On-Shell Diagrams
Sebastian Franco, Daniele Galloni, Alberto Mariotti
The fundamental role of on-shell diagrams in quantum field theory has been recently recognized. On-shell diagrams, or equivalently bipartite graphs, provide a natural bridge connec…
New Directions in Bipartite Field Theories
Sebastian Franco, Daniele Galloni, Rak-Kyeong Seong
We perform a detailed investigation of Bipartite Field Theories (BFTs), a general class of 4d N=1 gauge theories which are defined by bipartite graphs. This class of theories is co…
Towards the Continuous Limit of Cluster Integrable Systems
Sebastian Franco, Daniele Galloni, Yang-Hui He
We initiate the study of how to extend the correspondence between dimer models and (0+1)-dimensional cluster integrable systems to (1+1) and (2+1)-dimensional continuous integrable…