32 citations · 229 across the 23 of their papers we have counts for
23 papers
Gauge-Invariant Double-Copies via Recursion
Jacob L. Bourjaily, Nikhil Kalyanapuram, Kokkimidis Patatoukos +2
We prove that all tree-level amplitudes in pure (super-)gravity can be expressed as term-wise, gauge-invariant double-copies of those of pure (super-)Yang-Mills obtained via BCFW r…
Prescriptive Unitarity and Rigidity at Two Loops
Nikhil Kalyanapuram
We elaborate upon and consolidate various recent developments focusing on the triality of questions offered by issues of basis building, unitarity and non-polylogarithmicity in qua…
The Stratification of Rigidity
Jacob L. Bourjaily, Nikhil Kalyanapuram
We show that a master integrand basis exists for all planar, two-loop amplitudes in massless four-dimensional theories which is fully stratified by rigidity -- with each integrand…
Spin Multipole Expansion of the Memory Effect
Nikhil Kalyanapuram
Using two-dimensional duals of soft dynamics in QED and gravity, we perform an expansion of the respective memory effects in spin multipoles.
Holographic Representations of Supertranslation Eigenstates
Nikhil Kalyanapuram
We construct by direct computation holographic presentations of supertranslation vacua given a set of supermomenta. To do this, we make use of two-dimensional dual models recently…
Infrared and Holographic Aspects of the -Matrix in Gauge Theory and Gravity
Nikhil Kalyanapuram
Soft theorems in gauge theory and gravity encode the universal properties of scattering amplitudes as the zero frequency limit of one or more external states is approached. When th…
The Holographic Soft -Matrix in QED and Gravity
Nikhil Kalyanapuram
At leading order, the -matrices in QED and gravity are known to factorise, providing unambiguous determinations of the parts divergent due to infrared contributions. The soft $S…
On Chiral Splitting and the Ambitwistor String
Nikhil Kalyanapuram
Scattering amplitudes computed by superstring perturbation theory are known to holomorphically split into chiral half integrands at fixed internal loop momentum. It is established…
Ambitwistor Integrands from Tensionless Chiral Superstring Integrands
Nikhil Kalyanapuram
It is established that in the tensionless limit the chiral superstring integrand is reduced to the chiral integrand of the ambitwistor string.
Prescriptive Unitarity with Elliptic Leading Singularities
Jacob L. Bourjaily, Nikhil Kalyanapuram, Cameron Langer +1
We investigate the consequences of elliptic leading singularities for the unitarity-based representations of two-loop amplitudes in planar, maximally supersymmetric Yang-Mills theo…
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…
Stokes Polytopes and Intersection Theory
Nikhil Kalyanapuram
Intersection numbers of Stokes polytopes living in complex projective space are computed using the techniques employed to find the inverse string KLT matrix elements in terms of in…
Accordiohedra as positive geometries for generic scalar field theories
P. B. Aneesh, Mrunmay Jagadale, Nikhil Kalyanapuram
We build upon the prior works of [1-3] to study tree-level planar amplitudes for a massless scalar field theory with polynomial interactions. Focusing on a specific example, where…
Stueckelberg Bosons as an Ultralight Dark Matter Candidate
T. R. Govindarajan, Nikhil Kalyanapuram
In this letter, we propose a new model of fuzzy dark matter based on Stueckelberg theory. Dark matter is treated as a Bose-Einstein condensate of Stueckelberg particles and the res…
Infrared Effects and the Soft Photon Theorem in Massive QED
Govindarajan T R, Nikhil Kalyanapuram
Stueckelberg QED with massive photon is known to be renormalizable. But the limit of the mass going to zero is interesting because it brings the resolution to infrared questions th…
Noncommutative Cubic Scalar Field Theory and Tree Level Processes
Nikhil Kalyanapuram
In this paper, we study the corrections to tree level scattering that arise due to noncommutative deformations of cubic scalar field theory through implementation of the Groenewald…
A Statistical Analysis of Anharmonic Gases
Nikhil Kalyanapuram
In this paper, we consider an anharmonic perturbation to the harmonic oscillator in the classical and the quantum regimes. We analyse a relativistic particle subjected to such a po…
Noncommutative Spaces and the Theory of Geometrodynamics
Nikhil Kalyanapuram
This article is concerned with a generalisation of Connes' noncommutative framework. This is achieved by a general study of spectral triples, in particular through an analysis of t…