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PreprintCC BY 4.0arXiv

Supersymmetric semi--infinite cohomology and N = 2 superconformal structures

Abstract

We study supersymmetric semi-infinite cohomology and its N = 2 superconformal structure via the BRST reduction of an N = 3/2 superconformal structure on the super-affine vertex algebra associated to a super Manin pair arising from the Kazama--Suzuki N = 2 condition. Moreover, we realize super coset models in terms of relative supersymmetric semi-infinite cohomology.

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BibTeX
@misc{creutzig2026supersymmetric,
  title = {{Supersymmetric semi--infinite cohomology and $N = 2$ superconformal structures}},
  author = {Thomas Creutzig and Uhi Rinn Suh and Sangwon Yoon},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.04434},
  eprint = {2610.04434},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.04434},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Supersymmetric semi--infinite cohomology and N = 2 superconformal structures
AU  - Thomas Creutzig
AU  - Uhi Rinn Suh
AU  - Sangwon Yoon
PY  - 2026
DA  - 2026/10/03
PB  - arXiv
DO  - 10.48550/arxiv.2610.04434
UR  - https://arxiv.org/abs/2610.04434
AB  - We study supersymmetric semi-infinite cohomology and its N = 2 superconformal structure via the BRST reduction of an N = 3/2 superconformal structure on the super-affine vertex algebra associated to a super Manin pair arising from the Kazama--Suzuki N = 2 condition. Moreover, we realize super coset models in terms of relative supersymmetric semi-infinite cohomology.
ER  -