Jul 18 – 23, 2022
University of Vienna
Europe/Vienna timezone

Celestial Operator Product Expansions and ${\rm w}_{1+\infty}$ Symmetry

Not scheduled
4m
Audimax (University of Vienna)

Audimax

University of Vienna

Universitätsring 1, 1010 Vienna, Austria
Gong Show Talk Gong Show

Speaker

Elizabeth Himwich

Description

The Lorentz symmetry of four-dimensional (4D) scattering is isomorphic to two-dimensional (2D) global conformal symmetry. As a consequence, amplitudes in 4D momentum space can be naturally recast via a Mellin transform as correlation functions of 2D ''celestial'' conformal primary operators. In this talk, I will describe results (with M. Pate and K. Singh) on operator product expansions of massless celestial primary operators with arbitrary spin and arbitrary 4D three-point couplings. For such operators, Poincare symmetry implies a set of recursion relations on the operator product expansion coefficients of the leading singular terms at tree-level in a holomorphic limit. The symmetry constraints are solved by an Euler beta function with arguments that depend simply on the right-moving conformal weights of the operators in the product. These symmetry-derived coefficients precisely match those derived from momentum-space tree-level collinear limits, and they respect an infinite number of additional constraints associated with an underlying ${\rm w_{1+\infty}}$ algebra. I will also comment on ongoing work (with M. Pate) to generalize the ${\rm w}_{1+\infty}$ symmetry action to massive amplitudes.

Primary author

Co-authors

Kyle Singh (University of Pennsylvania) Monica Pate (Harvard University)

Presentation materials

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