A Nonlocal Transcendental Realization of the Sugawara Operators at Arbitrary Level
R. W. Gebert (IAS, Princeton, U.S.A.)
TL;DR
This paper reviews a new free field realization of affine Sugawara operators at any level, utilizing exponentials of DDF operators from string theory, offering a novel approach to their representation.
Contribution
It introduces a nonlocal transcendental realization of Sugawara operators at arbitrary level, expanding the mathematical framework for affine Lie algebra representations.
Findings
Provides a new free field realization involving DDF operators
Enables representation of Sugawara operators at any level
Connects string theory techniques with affine algebra structures
Abstract
A recently found new free field realization of the affine Sugawara operators at arbitrary level is reviewed, which involves exponentials of the well-known DDF operators in string theory.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsDifferential Equations and Boundary Problems · Numerical methods in inverse problems · Spectral Theory in Mathematical Physics