Geometrical aspects of Amplitudes and Correlators in N=4 SYM

TL;DR

This thesis explores the geometric structures underlying superamplitudes and supercorrelators in planar N=4 SYM, advancing the understanding of their mathematical properties and symmetries.

Contribution

It introduces new geometric frameworks for describing superamplitudes and supercorrelators in N=4 SYM, enhancing the theoretical understanding of their structure.

Findings

Development of positive geometry descriptions for superamplitudes.

New insights into the geometric nature of supercorrelators.

Progress in understanding the mathematical structure of N=4 SYM amplitudes.

Abstract

This thesis describes progresses made by the author and collaborators in the positive geometry description of superamplitudes and supercorrelators in planar N = 4 SYM.