General Solution of the WZNW System and 2D Induced Gravity in Curved Space-time
B. Sazdovic
TL;DR
This paper derives the general solutions for the WZNW system and 2D induced gravity equations in curved space-time, revealing their interconnectedness and providing explicit solutions for these complex systems.
Contribution
It presents the first general solutions for the WZNW system and 2D induced gravity in curved space-time, establishing a direct link between them.
Findings
General solutions for WZNW equations in curved space-time
Explicit solutions for 2D induced gravity equations
Confirmation of the connection between WZNW system and 2D gravity
Abstract
We find the general solution of the equations of motion for the WZNW system in curved space-time for arbitrary external gauge fields. Using the connection between the WZNW system for group and 2D induced gravity we obtain the general solution of the equations of motion for 2D induced gravity in curved space-time from that of the WZNW system. We independently presented the direct solution of 2D induced gravity equations of motion and obtain the same result.
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