Landau-Ginzburg/Conformal Field Theory correspondence for x^d and module tensor categories

Ros Camacho, Ana ORCID: https://orcid.org/0000-0001-9947-203X and Wasserman, Thomas A. 2022. Landau-Ginzburg/Conformal Field Theory correspondence for x^d and module tensor categories. [Online]. arXiv. Available at: https://arxiv.org/abs/2206.01045

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Abstract

The Landau-Ginzburg/Conformal Field Theory correspondence predicts tensor equivalences between categories of matrix factorisations of certain polynomials and categories associated to the N=2 supersymmetric conformal field theories. We realise this correspondence for xd for any d, where previous results were limited to odd d. Our proof uses the fact that both sides of the correspondence carry the structure of module tensor categories over the category of Zd-graded vector spaces equipped with a non-degenerate braiding. This allows us to describe the CFT side as generated by a single object, and use this to efficiently provide a functor realising the tensor equivalence.

Item Type:	Website Content
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Publisher:	arXiv
Date of Acceptance:	2 June 2022
Last Modified:	30 Mar 2023 15:03
URI:	https://orca.cardiff.ac.uk/id/eprint/157154

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