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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.

Dimer models, integrable systems and quantum Teichmuller space (2011)
Journal Article
Franco, S. (2011). Dimer models, integrable systems and quantum Teichmuller space. Journal of High Energy Physics, 2011(9), Article 57. https://doi.org/10.1007/jhep09%282011%29057

We introduce a correspondence between dimer models (and hence superconformal quivers) and the quantum Teichmüller space of the Riemann surfaces associated to them by mirror symmetry. Via the untwisting map, every brane tiling gives rise to a tiling o... Read More about Dimer models, integrable systems and quantum Teichmuller space.

Gauge theories from D7-branes over vanishing 4-cycles (2011)
Journal Article
Franco, S., & Torroba, G. (2011). Gauge theories from D7-branes over vanishing 4-cycles. Journal of High Energy Physics, 2011(01), Article 17. https://doi.org/10.1007/jhep01%282011%29017

We study quiver gauge theories on D7-branes wrapped over vanishing holomorphic 4-cycles. We investigate how to incorporate O7-planes and/or flavor D7-branes, which are necessary to cancel anomalies. These theories are chiral, preserve four supercharg... Read More about Gauge theories from D7-branes over vanishing 4-cycles.

Phenomenological models of holographic superconductors and Hall currents (2010)
Journal Article
Aprile, F., Franco, S., Rodrıguez-Gomez, D., & Russo, J. G. (2010). Phenomenological models of holographic superconductors and Hall currents. Journal of High Energy Physics, 2010(05), Article 102. https://doi.org/10.1007/jhep05%282010%29102

We study general models of holographic superconductivity parametrized by four arbitrary functions of a neutral scalar field of the bulk theory. The models can accommodate several features of real superconductors, like arbitrary critical temperatures... Read More about Phenomenological models of holographic superconductors and Hall currents.

Single-sector supersymmetry breaking in supersymmetric QCD (2010)
Journal Article
Franco, S., & Kachru, S. (2010). Single-sector supersymmetry breaking in supersymmetric QCD. Physical Review D, Particles and fields, 81(9), Article 095020. https://doi.org/10.1103/physrevd.81.095020

We construct examples of single-sector supersymmetry breaking based on simple deformations of supersymmetric QCD with (weakly) gauged flavor group. These theories are calculable in a weakly coupled Seiberg dual description. In these models, some of t... Read More about Single-sector supersymmetry breaking in supersymmetric QCD.

A general class of holographic superconductors (2010)
Journal Article
Franco, S., García-García, A., & Rodriguez-Gómez, D. (2010). A general class of holographic superconductors. Journal of High Energy Physics, 2010(4), Article 92. https://doi.org/10.1007/jhep04%282010%29092

We introduce a simple generalization of the basic holographic superconductor model in which the spontaneous breaking of a global U(1) symmetry occurs via the Stückelberg mechanism. This more general setting allows tuning features such as the order of... Read More about A general class of holographic superconductors.

Dynamical supersymmetry breaking, with flavor (2010)
Journal Article
Craig, N., Essig, R., Franco, S., Kachru, S., & Torroba, G. (2010). Dynamical supersymmetry breaking, with flavor. Physical Review D, 81(7), Article 075015. https://doi.org/10.1103/physrevd.81.075015

We explore calculable models with low-energy supersymmetry where the flavor hierarchy is generated by quark and lepton compositeness, and where the composites emerge from the same sector that dynamically breaks supersymmetry. The observed pattern of... Read More about Dynamical supersymmetry breaking, with flavor.

Holographic approach to phase transitions (2010)
Journal Article
Franco, S., García-García, A. M., & Rodríguez-Gómez, D. (2010). Holographic approach to phase transitions. Physical Review D, 81(4), Article 041901(R). https://doi.org/10.1103/physrevd.81.041901

We provide a description of phase transitions at finite temperature in strongly coupled field theories using holography. For this purpose, we introduce a general class of gravity duals to superconducting theories that exhibit various types of phase t... Read More about Holographic approach to phase transitions.

Holographic Gauge Mediation (2009)
Journal Article
Benini, F., Dymarsky, A., Franco, S., Kachru, S., Simic, D., & Verlinde, H. (2009). Holographic Gauge Mediation. Journal of High Energy Physics, 2009(12), Article 031. https://doi.org/10.1088/1126-6708/2009/12/031

We discuss gravitational backgrounds where supersymmetry is broken at the end of a warped throat, and the SUSY-breaking is transmitted to the Standard Model via gauginos which live in (part of) the bulk of the throat geometry. We find that the leadin... Read More about Holographic Gauge Mediation.

M2-branes on orbifolds of the cone over Q^{1,1,1} (2009)
Journal Article
Franco, S., Klebanov, I. R., & Rodriguez-Gómez, D. (2009). M2-branes on orbifolds of the cone over Q^{1,1,1}. Journal of High Energy Physics, 2009(08), Article 033. https://doi.org/10.1088/1126-6708/2009/08/033

We study the = 2 supersymmetric Chern-Simons quiver gauge theory recently introduced in arXiv:0809.3237 to describe M2-branes on a cone over the well-known Sasaki-Einstein manifold Q1,1,1. For Chern-Simons levels (k,k,−k,−k) we argue that this theory... Read More about M2-branes on orbifolds of the cone over Q^{1,1,1}.

N-ification of Forces: A Holographic Perspective on D-brane Model Building (2009)
Journal Article
Franco, S., Rodriguez-Gómez, D., & Verlinde, H. (2009). N-ification of Forces: A Holographic Perspective on D-brane Model Building. Journal of High Energy Physics, 2009(06), Article 030. https://doi.org/10.1088/1126-6708/2009/06/030

We study geometric aspects of extensions of the supersymmetric standard model that exhibit a periodic duality cascade. Via the holographic correspondence, the growth of the gauge group rank towards the UV is interpreted as a gradual decompactificatio... Read More about N-ification of Forces: A Holographic Perspective on D-brane Model Building.