24 citations · 138 across the 14 of their papers we have counts for
6 papers · 1 filter
An Elliptic Yangian-Invariant, `Leading Singularity'
Jacob L. Bourjaily, Nikhil Kalyanapuram, Cameron Langer +2
We derive closed formulae for the first examples of non-algebraic, elliptic `leading singularities' in planar, maximally supersymmetric Yang-Mills theory and show that they are Yan…
Gauge and Gravity Amplitudes on the Celestial Sphere
Nikhil Kalyanapuram
The analytic structures of scattering amplitudes in gauge theory and gravity are examined on the celestial sphere. The celestial amplitudes in the two theories - computed by employ…
Soft Gravity by Squaring Soft QED on the Celestial Sphere
Nikhil Kalyanapuram
We recast the soft -matrices on the celestial sphere as correlation functions of certain -dimensional models of topological defects. In pointing out the double copy structure…
On Polytopes and Generalizations of the KLT Relations
Nikhil Kalyanapuram
We combine the technology of the theory of polytopes and twisted intersection theory to derive a large class of double copy relations that generalize the classical relations due to…
Geometric Recursion from Polytope Triangulations and Twisted Homology
Nikhil Kalyanapuram
A geometric approach to understanding recursion relations for scattering amplitudes is developed. We achieve this by studying intersection numbers of triangulated accordiohedra pre…
Positive Geometries for all Scalar Theories from Twisted Intersection Theory
Nikhil Kalyanapuram, Raghav G. Jha
We show that accordiohedra furnish polytopes which encode amplitudes for all massive scalar field theories with generic interactions. This is done by deriving integral formulae for…