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Non-planar on-shell diagrams (2015)
Journal Article
Franco, S., Galloni, D., Penante, B., & Wen, C. (2015). Non-planar on-shell diagrams. Journal of High Energy Physics, 2015(6), Article 199. https://doi.org/10.1007/jhep06%282015%29199

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, which make the d log form of the on-shell form explicit. We make sig... Read More about Non-planar on-shell diagrams.

Anatomy of the amplituhedron (2015)
Journal Article
Franco, S., Galloni, D., Mariotti, A., & Trnka, J. (2015). Anatomy of the amplituhedron. Journal of High Energy Physics, 2015(3), Article 128. https://doi.org/10.1007/jhep03%282015%29128

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 planar N = 4 SYM theory. We do so by introducing and studying its stra... Read More about Anatomy of the amplituhedron.

On axion monodromy inflation in warped throats (2015)
Journal Article
Franco, S., Galloni, D., Retolaza, A., & Uranga, A. (2015). On axion monodromy inflation in warped throats. Journal of High Energy Physics, 2015(2), Article 86. https://doi.org/10.1007/jhep02%282015%29086

Recent models of axion monodromy inflation in string theory link the inflationary potential and the moduli stabilization potential. Realistic inflationary models require mechanisms to moderately suppress the inflaton mass with respect to the moduli s... Read More about On axion monodromy inflation in warped throats.

The geometry of on-shell diagrams (2014)
Journal Article
Franco, S., Galloni, D., & Mariotti, A. (2014). The geometry of on-shell diagrams. Journal of High Energy Physics, 2014(8), Article 38. https://doi.org/10.1007/jhep08%282014%29038

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 connecting gauge theory to powerful mathematical structures such as the Gras... Read More about The geometry of on-shell diagrams.