TL;DR
This paper explores an iterative method for studying minimal surfaces in AdS space to understand the Alday-Maldacena duality, especially after challenges to the BDS conjecture, highlighting open technical problems.
Contribution
It introduces an approximate iterative approach to minimal surfaces in AdS, aiming to analyze and potentially modify the Alday-Maldacena duality post-BDS conjecture challenges.
Findings
Proposes an iterative solution to Nambu-Goto equations in AdS.
Identifies open technical problems in the study of minimal surfaces.
Provides a framework for understanding duality modifications.
Abstract
A short summary of approximate approach to the study of minimal surfaces in AdS, based on solving Nambu-Goto equations iteratively. Today, after partial denunciation of the BDS conjecture, this looks like the only constructive approach to understanding the ways of its possible modification and thus to saving the Alday-Maldacena duality. Numerous open technical problems are explicitly formulated throughout the text.
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