Davydov, Alexei, Ros Camacho, Ana  ORCID: https://orcid.org/0000-0001-9947-203X and Runkel, Ingo
2018.
N=2 minimal conformal field theories and matrix bifactorisations of xd.
Communications in Mathematical Physics
357
, pp. 597-629.
10.1007/s00220-018-3086-z
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Abstract
We establish an action of the representations of N = 2-superconformal symmetry on the category of matrix factorisations of the potentials xd and xd−yd, for d odd. More precisely we prove a tensor equivalence between (a) the category of Neveu–Schwarz-type representations of the N = 2 minimal super vertex operator algebra at central charge 3–6/d, and (b) a full subcategory of graded matrix factorisations of the potential xd−yd. The subcategory in (b) is given by permutation-type matrix factorisations with consecutive index sets. The physical motivation for this result is the Landau–Ginzburg/conformal field theory correspondence, where it amounts to the equivalence of a subset of defects on both sides of the correspondence. Our work builds on results by Brunner and Roggenkamp [BR], where an isomorphism of fusion rules was established.
| Item Type: | Article |
|---|---|
| Date Type: | Publication |
| Status: | Published |
| Schools: | Schools > Mathematics |
| Publisher: | Springer Verlag |
| ISSN: | 0010-3616 |
| Date of First Compliant Deposit: | 14 February 2020 |
| Date of Acceptance: | 15 November 2017 |
| Last Modified: | 26 Nov 2024 03:00 |
| URI: | https://orca.cardiff.ac.uk/id/eprint/129662 |
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