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Antipodal Self-Duality for a Four-Particle Form Factor.

Lance J Dixon¹, Ömer Gürdoğan², Yu-Ting Liu^1,3

¹SLAC National Accelerator Laboratory, Stanford University, Stanford, California 94309, USA.

Physical Review Letters

|March 31, 2023

Summary

This summary is machine-generated.

We determined the symbol for a key component in planar N=4 super-Yang-Mills theory. This symbol exhibits an antipodal self-duality, revealing new connections within the theory.

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Area of Science:

Theoretical physics
High-energy physics
Quantum field theory

Background:

Planar N=4 super-Yang-Mills theory is a crucial model in theoretical physics.
Understanding its properties, like form factors, is essential for advancements.
Previous studies hinted at dualities within this theory.

Purpose of the Study:

To bootstrap the symbol of the maximal-helicity-violating four-particle form factor.
To analyze its properties, including Steinmann relations and potential dualities.
To connect findings with existing dualities in the theory.

Main Methods:

Symbol bootstrapping techniques were employed.
Minimal normalization was applied to the symbol.
Analysis of the remainder function for antipodal self-duality was performed.

Main Results:

The symbol for the specific form factor was successfully bootstrapped.
It was found to contain only 34 letters and obey extended Steinmann relations.
An antipodal self-duality was discovered in the remainder function.

Conclusions:

The bootstrapped symbol and its properties provide new insights into planar N=4 super-Yang-Mills theory.
The observed antipodal self-duality implies a deeper connection between different scattering amplitudes and form factors.
This work contributes to the understanding of symmetries and structures in quantum field theories.