Non-Local Charges and their Algebra in Topological Field Theory
J. C. Brunelli, A. Das
TL;DR
This paper demonstrates the existence of infinite nonlocal conserved charges in topological field theories, exemplified by the Monge-Ampère equation, and explores their algebraic structure and construction methods.
Contribution
It provides a general method for constructing nonlocal charges and analyzes their algebra in the context of topological field theories.
Findings
Infinite nonlocal conserved charges exist for the Monge-Ampère equation
A prescription for constructing these charges is established
The algebra of the charges reveals interesting structural features
Abstract
With the third order Monge-Amp\`ere equation as an example, we show that there exists an infinite number of nonlocal conserved charges associated with the Witten-Dijkgraaf-Verlinde-Verlinde equations. A general prescription for the construction of these charges is given and the charge algebra is calculated bringing out various other interesting features associated with such systems.
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