B\"acklund transformations in 2D dilaton gravity
D. J. Navarro, J. Navarro-Salas
TL;DR
This paper introduces a Bäcklund transformation that links generic 2D dilaton gravity theories to free field theories, providing an explicit canonical transformation between them.
Contribution
It presents a novel Bäcklund transformation that explicitly connects 2D dilaton gravity to free field theories, enhancing understanding of their relationship.
Findings
Established a Bäcklund transformation for 2D dilaton gravity
Provided an explicit canonical transformation between theories
Facilitated analysis of 2D dilaton gravity models
Abstract
We give a B\"acklund transformation connecting a generic 2D dilaton gravity theory to a generally covariant free field theory. This transformation provides an explicit canonical transformation relating both theories.
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