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| Meromorphic Open-String Vertex Algebras and Riemannian Manifolds |
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Citation： |
Yi-Zhi HUANG.Meromorphic Open-String Vertex Algebras and Riemannian Manifolds[J].Chinese Annals of Mathematics B,2026,(1):127~144 |
| Page view： 182
Net amount： 96 |
Authors： |
Yi-Zhi HUANG; |
Foundation： |
the National Science Foundation Grant (No. PHY-0901237) |
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| Abstract： |
Let M be a Riemannian manifold. For p ∈ M, the tensor algebra T(?TpM?) of the negative part of the affinization ?TpM of the tangent space TpM has a natural structure of a meromorphic open-string vertex algebra (MOSVA). The authors show that these local MOSVAs can be glued together to form a sheaf of MOSVAs over M, and they construct a canonical sheaf of left modules associated to any vector bundle with connection. This provides a geometric realization of MOSVAs in terms of Riemannian geometry. |
Keywords： |
Meromorphic open-string vertex algebra Riemannian manifold Sheaf of left modules |
Classification： |
53C20, 81T40, 17B69 |
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