• Corpus ID: 229181148

Connes fusion of spinors on loop space

@article{Kristel2020ConnesFO,
  title={Connes fusion of spinors on loop space},
  author={Peter Kristel and Konrad Waldorf},
  journal={arXiv: Operator Algebras},
  year={2020}
}
The loop space of a string manifold supports an infinite-dimensional Fock space bundle, which is an analog of the spinor bundle on a spin manifold. This spinor bundle on loop space appears in the description of 2-dimensional sigma models as the bundle of states over the configuration space of the superstring. We construct a product on this bundle covering the fusion of loops, i.e., the merging of two loops along a common segment. For this purpose, we exhibit it as a bundle of bimodules over a… 
2 Citations
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TLDR
A finite-dimensional and smooth formulation of string structures on spin bundles that enables it to prove that every string structure admits a string connection and that the possible choices form an affine space is presented.
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