Outputs (42)

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.

Bipartite field theories from D-branes (2014)
Journal Article
Franco, S., & Uranga, A. (2014). Bipartite field theories from D-branes. Journal of High Energy Physics, 2014(4), Article 161. https://doi.org/10.1007/jhep04%282014%29161

We develop tools for determining the gauge theory resulting from a configuration of Type IIB D3-branes probing a non-compact, toric Calabi-Yau 3-fold, in the presence of additional flavor D7-branes with general embeddings. Two main ingredients of our a... Read More about Bipartite field theories from D-branes.

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.

Cluster Transformations from Bipartite Field Theories (2013)
Journal Article
Franco, S. (2013). Cluster Transformations from Bipartite Field Theories. Physical Review D, 88(10), Article 105010. https://doi.org/10.1103/physrevd.88.105010

Bipartite field theories (BFTs) are a new class of 4D N=1 quantum field theories defined by bipartite graphs on bordered Riemann surfaces. In this paper we derive, purely in terms of the gauge theory, the cluster transformations of face weights under... Read More about Cluster Transformations from Bipartite Field Theories.

New directions in bipartite field theories (2013)
Journal Article
Franco, S., Galloni, D., & Seong, R. (2013). New directions in bipartite field theories. Journal of High Energy Physics, 2013(6), Article 32. https://doi.org/10.1007/jhep06%282013%29032

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 considerably expanded by identifying a new way of assigning gauge symm... Read More about New directions in bipartite field theories.

Bipartite Field Theories: from D-Brane Probes to Scattering Amplitudes (2012)
Journal Article
Franco, S. (2012). Bipartite Field Theories: from D-Brane Probes to Scattering Amplitudes. Journal of High Energy Physics, 2012(11), https://doi.org/10.1007/jhep11%282012%29141

We introduce and initiate the investigation of a general class of 4d, N=1 quiver gauge theories whose Lagrangian is defined by a bipartite graph on a Riemann surface, with or without boundaries. We refer to such class of theories as Bipartite Field T... Read More about Bipartite Field Theories: from D-Brane Probes to Scattering Amplitudes.

Free energy v.s. Sasaki-Einstein volume for infinite families of M2-brane theories (2012)
Journal Article
Amariti, A., & Franco, S. (2012). Free energy v.s. Sasaki-Einstein volume for infinite families of M2-brane theories. Journal of High Energy Physics, 2012(9), Article 34. https://doi.org/10.1007/jhep09%282012%29034

We investigate infinite families of 3d N=2 superconformal Chern-Simons quivers with an arbitrarily large number of gauge groups arising on M2-branes over toric CY4’s. These theories have the same matter content and superpotential of those on D3-brane... Read More about Free energy v.s. Sasaki-Einstein volume for infinite families of M2-brane theories.

Colored BPS pyramid partition functions, quivers and cluster transformations (2012)
Journal Article
Eager, R., & Franco, S. (2012). Colored BPS pyramid partition functions, quivers and cluster transformations. Journal of High Energy Physics, 2012(9), Article 38. https://doi.org/10.1007/jhep09%282012%29038

We investigate the connections between flavored quivers, dimer models, and BPS pyramids for generic toric Calabi-Yau threefolds from various perspectives. We introduce a purely field theoretic definition of both finite and infinite pyramids in terms... Read More about Colored BPS pyramid partition functions, quivers and cluster transformations.

Towards the continuous limit of cluster integrable systems (2012)
Journal Article
Franco, S., Galloni, D., & He, Y. (2012). Towards the continuous limit of cluster integrable systems. Journal of High Energy Physics, 2012(9), Article 20. https://doi.org/10.1007/jhep09%282012%29020

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 field theories, addressing various points that are necessary fo... Read More about Towards the continuous limit of cluster integrable systems.