A Two Dimensional Analogue of the Virasoro Algebra
Friedrich Wagemann
TL;DR
This paper discusses a two-dimensional analogue of the Virasoro algebra but admits a significant error in its proof, highlighting the challenges in extending Virasoro algebra concepts to higher dimensions.
Contribution
The paper attempts to introduce a two-dimensional analogue of the Virasoro algebra, aiming to extend its structure beyond the classical one-dimensional case.
Findings
Identification of a serious error in the original proof
Discussion of the difficulties in generalizing Virasoro algebra to two dimensions
Acknowledgment of the need for further work to establish the analogue
Abstract
The author regrets that after discussion of the results with B. L. Feigin a serious error has shown up. The proof of the results we presented in the paper is wrong. We thank B. L. Feigin for the discussion.
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