activity
20212026
most cited Scattering and the Celestial Torus

82 citations · 274 across the 16 of their papers we have counts for

collaborators

17 papers

hep-th2026

Observing Massive Scattering from Null Infinity

Walker Melton, Kyrill Michaelsen, Romain Ruzziconi

Because massive particles asymptote to timelike rather than null infinity, current flat space holographic proposals such as celestial or Carrollian holography struggle to describe…

hep-th2026

Flat Space Physics from AdS Actions

Walker Melton

Flat spacetimes are foliated by hyperbolic slices that are geometrically three-dimensional de Sitter or anti-de Sitter spaces. As such, it is possible to construct flat space holog…

hep-th2025

Conformal Field Theory with Periodic Time

Walker Melton, Andrew Strominger

It is shown that time-ordered correlation functions of a unitary CFT in 2D Minkowski space admit a single-valued, conformally-invariant extension to the Lorentzian signature to…

hep-th2025

Quantum Fields on Time-Periodic AdS

Walker Melton, Andrew Strominger, Tianli Wang

We consider a free complex massive scalar on the quotient spacetime AdS, which has the isometry group SO(2,2) rather than its universal cover. This problem is of int…

hep-th2024

No-Boundary State for Klein Space

Walker Melton, Atul Sharma, Andrew Strominger +1

Analytic continuation from signature Minkowski to signature Klein space has emerged as a useful tool for the understanding of scattering amplitudes and flat space h…

hep-th2024

A Celestial Dual for MHV Amplitudes

Walker Melton, Atul Sharma, Andrew Strominger +1

It is shown that a 2D CFT consisting of a central charge Liouville theory, a chiral level one, rank Kac-Moody algebra and a weight free fermion holographically gener…

hep-th2024

Soft Algebras for Leaf Amplitudes

Walker Melton, Atul Sharma, Andrew Strominger

Celestial MHV amplitudes are comprised of non-distributional leaf amplitudes associated to an AdS leaf of a foliation of flat spacetime. It is shown here that the leaf amplitud…

hep-th2023★ 25 cited

Celestial Leaf Amplitudes

Walker Melton, Atul Sharma, Andrew Strominger

Celestial amplitudes may be decomposed as weighted integrals of AdS-Witten diagrams associated to each leaf of a hyperbolic foliation of spacetime. We show, for the Kleinian th…

hep-th2023★ 7 cited

Celestial Gluon Amplitudes from the Outside In

Walker Melton, Sruthi A. Narayanan

We show that, given a two-dimensional realization of the celestial OPE in self-dual Yang-Mills, we can find a scalar source around which scattering amplitudes replicate correlation…

hep-th2023

Conformal Correlators on the Lorentzian Torus

Walker Melton, Atul Sharma, Andrew Strominger

The general form of a 2D conformal field theory (CFT) correlator on a Euclidean Riemann surface, Lorentzian plane or Lorentzian cylinder is well-known. This paper describes the gen…

hep-th2023★ 1 cited

Hyperbolic Vacua in Minkowski Space

Walker Melton, Filip Niewinski, Andrew Strominger +1

Families of Lorentz, but not Poincare, invariant vacua are constructed for a massless scalar field in 4D Minkowski space. These are generalizations of the Rindler vacuum with a lar…

hep-th2022★ 31 cited

Deforming Soft Algebras for Gauge Theory

Walker Melton, Sruthi A. Narayanan, Andrew Strominger

Symmetry algebras deriving from towers of soft theorems can be deformed by a short list of higher-dimension Wilsonian corrections to the effective action. We study the simplest of…

hep-th2022★ 55 cited

Celestial Amplitudes as AdS-Witten Diagrams

Eduardo Casali, Walker Melton, Andrew Strominger

Both celestial and momentum space amplitudes in four dimensions are beset by divergences resulting from spacetime translation and sometimes scale invariance. In this paper we consi…

hep-th2021

Celestial Feynman Rules for Scalars

Walker Melton

Off-shell celestial amplitudes with both time-like and space-like external legs are defined. The Feynman rules for scalar amplitudes, viewed as a set of recursion relations for off…

hep-th2021★ 72 cited

Conformal Block Expansion in Celestial CFT

Alexander Atanasov, Walker Melton, Ana-Maria Raclariu +1

The 4D 4-point scattering amplitude of massless scalars via a massive exchange is expressed in a basis of conformal primary particle wavefunctions. This celestial amplitude is expa…

astro-ph.EP2021★ 1 cited

Eigenstates of Quasi-Keplerian Self-Gravitating Particle Discs

Walker Melton, Konstantin Batygin

Although quasi-Keplerian discs are among the most common astrophysical structures, computation of secular angular momentum transport within them routinely presents a considerable p…

hep-th2021★ 82 cited

Scattering and the Celestial Torus

Alexander Atanasov, Adam Ball, Walker Melton +2

Analytic continuation from Minkowski space to split signature spacetime has proven to be a powerful tool for the study of scattering amplitudes. Here we show that, under th…