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Four-Loop Cusp Anomalous Dimension From Obstructions
Freddy Cachazo, Marcus Spradlin, Anastasia Volovich
We introduce a method for extracting the cusp anomalous dimension at L loops from four-gluon amplitudes in N=4 Yang-Mills without evaluating any integrals that depend on the kinema…
Children's Drawings From Seiberg-Witten Curves
Sujay K. Ashok, Freddy Cachazo, Eleonora Dell'Aquila
We consider N=2 supersymmetric gauge theories perturbed by tree level superpotential terms near isolated singular points in the Coulomb moduli space. We identify the Seiberg-Witten…
Strebel Differentials With Integral Lengths And Argyres-Douglas Singularities
Sujay K. Ashok, Freddy Cachazo, Eleonora Dell'Aquila
Strebel differentials are a special class of quadratic differentials with several applications in string theory. In this note we show that finding Strebel differentials with integr…
Hidden Beauty in Multiloop Amplitudes
Freddy Cachazo, Marcus Spradlin, Anastasia Volovich
Planar L-loop maximally helicity violating amplitudes in N = 4 supersymmetric Yang-Mills theory are believed to possess the remarkable property of satisfying iteration relations in…
Iterative Structure Within The Five-Particle Two-Loop Amplitude
Freddy Cachazo, Marcus Spradlin, Anastasia Volovich
We find an unexpected iterative structure within the two-loop five-gluon amplitude in N = 4 supersymmetric Yang-Mills theory. Specifically, we show that a subset of diagrams contri…