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Staggered modules of $N=2$ superconformal minimal models

High Energy Physics - Theory 2021-04-23 v2 Mathematical Physics math.MP Quantum Algebra

Abstract

We investigate a class of reducible yet indecomposable modules over the N=2N=2 superconformal algebras. These so-called staggered modules exhibit a non-diagonalisable action of the Virasoro mode L0L_{0}. Using recent results on the coset construction of N=2N=2 minimal models, we explicitly construct such modules for central charges c=1c = -1 and c=6c = -6. We also describe spectral-flow orbits and symmetries of the families of staggered modules which arise via the coset.

Keywords

Cite

@article{arxiv.2102.05193,
  title  = {Staggered modules of $N=2$ superconformal minimal models},
  author = {Christopher Raymond and David Ridout and Jorgen Rasmussen},
  journal= {arXiv preprint arXiv:2102.05193},
  year   = {2021}
}

Comments

25 pages, 10 figures, comments are welcome.V2 corrected typos, improved arguments in section 5.2

R2 v1 2026-06-23T23:00:18.855Z