Staggered modules of N = 2 superconformal minimal models

Staggered modules of N = 2 superconformal minimal models

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 L0. Using recent results on the coset construction of N=2 minimal models, we explicitly construct such modul...

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Main Authors: Christopher Raymond, David Ridout, Jørgen Rasmussen
Format: Article
Language:English
Published: Elsevier 2021-06-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321321000948
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spelling doaj-012bfaf403cd454396a1fd9e3f7efbf52021-05-28T04:59:54ZengElsevierNuclear Physics B0550-32132021-06-01967115397Staggered modules of N = 2 superconformal minimal modelsChristopher Raymond0David Ridout1Jørgen Rasmussen2Mathematical Sciences Institute, Australian National University, Acton, 2601, Australia; Corresponding author.School of Mathematics and Statistics, University of Melbourne, Parkville, 3010, AustraliaSchool of Mathematics and Physics, The University of Queensland, St Lucia, 4072, AustraliaWe 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 L0. 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.http://www.sciencedirect.com/science/article/pii/S0550321321000948
collection DOAJ
language English
format Article
sources DOAJ
author Christopher Raymond
David Ridout
Jørgen Rasmussen
spellingShingle Christopher Raymond
David Ridout
Jørgen Rasmussen
Staggered modules of N = 2 superconformal minimal models
Nuclear Physics B
author_facet Christopher Raymond
David Ridout
Jørgen Rasmussen
author_sort Christopher Raymond
title Staggered modules of N = 2 superconformal minimal models
title_short Staggered modules of N = 2 superconformal minimal models
title_full Staggered modules of N = 2 superconformal minimal models
title_fullStr Staggered modules of N = 2 superconformal minimal models
title_full_unstemmed Staggered modules of N = 2 superconformal minimal models
title_sort staggered modules of n = 2 superconformal minimal models
publisher Elsevier
series Nuclear Physics B
issn 0550-3213
publishDate 2021-06-01
description 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 L0. 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.
url http://www.sciencedirect.com/science/article/pii/S0550321321000948
work_keys_str_mv AT christopherraymond staggeredmodulesofn2superconformalminimalmodels
AT davidridout staggeredmodulesofn2superconformalminimalmodels
AT jørgenrasmussen staggeredmodulesofn2superconformalminimalmodels
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