Staggered modules of $N=2$ superconformal minimal models

Abstract

We investigate a class of reducible yet indecomposable modules over the $N=2$ superconformal algebras. These so-called staggered modules exhibit a non-diagonalisable action of the Virasoro mode $L_0$. Using recent results on the coset construction of $N=2$ minimal models, we explicitly construct such modules for central charges $c=-1$ and $c=-6$. We also describe spectral-flow orbits and symmetries of the families of staggered modules which arise via the coset.

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

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