On Polyakov's basic variational formula for loop spaces
Ioannis P. Zois (Mathematical Institute, Oxford University)
TL;DR
This paper provides a rigorous proof of Polyakov's fundamental variational formula for loop spaces using homological algebra, clarifying the mathematical foundations of the formula.
Contribution
It introduces a homological algebra framework to rigorously prove Polyakov's basic variational formula for loop spaces.
Findings
Rigorous proof of Polyakov's variational formula
Application of homological algebra to loop space analysis
Enhanced mathematical understanding of loop space variational principles
Abstract
We use the homological algebra context to give a more rigorous proof of Polyakov's basic variational formula for loop spaces.
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