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Generalisation of affine Lie algebras on compact real manifolds
by R. Campoamor-Stursberg, M. de Montigny, M. Rausch de Traubenberg
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Submission summary
| Authors (as registered SciPost users): | Rutwig Campoamor-Stursberg · Michel Rausch de Traubenberg |
| Submission information | |
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| Preprint Link: | scipost_202212_00027v1 (pdf) |
| Date submitted: | 2022-12-14 20:01 |
| Submitted by: | Campoamor-Stursberg, Rutwig |
| Submitted to: | SciPost Physics Proceedings |
| Proceedings issue: | 34th International Colloquium on Group Theoretical Methods in Physics (GROUP2022) |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
We report on recent work concerning a new type of generalised Kac-Moody algebras based on the spaces of differentiable mappings from compact manifolds or homogeneous spaces onto compact Lie groups.
Current status:
Reports on this Submission
Report #1 by Anonymous (Referee 1) on 2023-1-27 (Invited Report)
- Cite as: Anonymous, Report on arXiv:scipost_202212_00027v1, delivered 2023-01-27, doi: 10.21468/SciPost.Report.6621
Report
In this paper the author propose a generalised Kac-Moody algebras based on the spaces of differentiable maps from compact manifolds to compact Lie groups. This implies generating the corresponding generalized Kac-Moody algebras. In particular these results can apply in the context of Kaluza-Klein compactifications of higher dimensional spaces naturally appearing in the context of supergravity and string theory.
Though the analysis of this class of compactification is far from being complete, in this article, the contribution is valuable for future developments, including mathematical formalization and physical applications.
The paper is well written and clear.
For these reasons I recommend the publication of this article.
Requested changes
In Eqn. 4 the notation <X,Y>_0 is not explained.