Geometrising Gauge Theory Feynman Diagrams Using AdS/CFT

Abstract

In this thesis, with the goal of showing a Gross-Mende like behaviour of string worldsheets moving in the tensionless limit of an AdS 5 × S 5 geometry as the guiding north star, we attempt to develop a framework to relate the string worldsheet to the free boundary CFT. Utilising the tools of twistor geometry and Strebel differentials, we chart a path towards achieving this goal. In the process, we relate the goal with the broader search for mechanisms to demonstrate how QFTs organise themselves as string theories.