Correlator correspondences for subregular W $$ \mathcal{W} $$ -algebras and principal W $$ \mathcal{W} $$ -superalgebras
Abstract We examine a strong/weak duality between a Heisenberg coset of a theory with sl $$ \mathfrak{sl} $$ n subregular W $$ \mathcal{W} $$ -algebra symmetry and a theory with a sl $$ \mathfrak{sl} $$ n|1-structure. In a previous work, two of the current authors provided a path integral derivation...
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doaj-9690ee8e47b4411e89f388410e85d2d22021-10-10T11:52:28ZengSpringerOpenJournal of High Energy Physics1029-84792021-10-0120211012910.1007/JHEP10(2021)032Correlator correspondences for subregular W $$ \mathcal{W} $$ -algebras and principal W $$ \mathcal{W} $$ -superalgebrasThomas Creutzig0Yasuaki Hikida1Devon Stockal2Department of Mathematical and Statistical Sciences, University of AlbertaCenter for Gravitational Physics, Yukawa Institute for Theoretical Physics, Kyoto UniversityDepartment of Mathematical and Statistical Sciences, University of AlbertaAbstract We examine a strong/weak duality between a Heisenberg coset of a theory with sl $$ \mathfrak{sl} $$ n subregular W $$ \mathcal{W} $$ -algebra symmetry and a theory with a sl $$ \mathfrak{sl} $$ n|1-structure. In a previous work, two of the current authors provided a path integral derivation of correlator correspondences for a series of generalized Fateev-Zamolodchikov-Zamolodchikov (FZZ-)duality. In this paper, we derive correlator correspondences in a similar way but for a different series of generalized duality. This work is a part of the project to realize the duality of corner vertex operator algebras proposed by Gaiotto and Rapčák and partly proven by Linshaw and one of us in terms of two dimensional conformal field theory. We also examine another type of duality involving an additional pair of fermions, which is a natural generalization of the fermionic FZZ-duality. The generalization should be important since a principal W $$ \mathcal{W} $$ -superalgebra appears as its symmetry and the properties of the superalgebra are less understood than bosonic counterparts.https://doi.org/10.1007/JHEP10(2021)032Conformal and W SymmetryConformal Field TheoryString Duality |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Thomas Creutzig Yasuaki Hikida Devon Stockal |
spellingShingle |
Thomas Creutzig Yasuaki Hikida Devon Stockal Correlator correspondences for subregular W $$ \mathcal{W} $$ -algebras and principal W $$ \mathcal{W} $$ -superalgebras Journal of High Energy Physics Conformal and W Symmetry Conformal Field Theory String Duality |
author_facet |
Thomas Creutzig Yasuaki Hikida Devon Stockal |
author_sort |
Thomas Creutzig |
title |
Correlator correspondences for subregular W $$ \mathcal{W} $$ -algebras and principal W $$ \mathcal{W} $$ -superalgebras |
title_short |
Correlator correspondences for subregular W $$ \mathcal{W} $$ -algebras and principal W $$ \mathcal{W} $$ -superalgebras |
title_full |
Correlator correspondences for subregular W $$ \mathcal{W} $$ -algebras and principal W $$ \mathcal{W} $$ -superalgebras |
title_fullStr |
Correlator correspondences for subregular W $$ \mathcal{W} $$ -algebras and principal W $$ \mathcal{W} $$ -superalgebras |
title_full_unstemmed |
Correlator correspondences for subregular W $$ \mathcal{W} $$ -algebras and principal W $$ \mathcal{W} $$ -superalgebras |
title_sort |
correlator correspondences for subregular w $$ \mathcal{w} $$ -algebras and principal w $$ \mathcal{w} $$ -superalgebras |
publisher |
SpringerOpen |
series |
Journal of High Energy Physics |
issn |
1029-8479 |
publishDate |
2021-10-01 |
description |
Abstract We examine a strong/weak duality between a Heisenberg coset of a theory with sl $$ \mathfrak{sl} $$ n subregular W $$ \mathcal{W} $$ -algebra symmetry and a theory with a sl $$ \mathfrak{sl} $$ n|1-structure. In a previous work, two of the current authors provided a path integral derivation of correlator correspondences for a series of generalized Fateev-Zamolodchikov-Zamolodchikov (FZZ-)duality. In this paper, we derive correlator correspondences in a similar way but for a different series of generalized duality. This work is a part of the project to realize the duality of corner vertex operator algebras proposed by Gaiotto and Rapčák and partly proven by Linshaw and one of us in terms of two dimensional conformal field theory. We also examine another type of duality involving an additional pair of fermions, which is a natural generalization of the fermionic FZZ-duality. The generalization should be important since a principal W $$ \mathcal{W} $$ -superalgebra appears as its symmetry and the properties of the superalgebra are less understood than bosonic counterparts. |
topic |
Conformal and W Symmetry Conformal Field Theory String Duality |
url |
https://doi.org/10.1007/JHEP10(2021)032 |
work_keys_str_mv |
AT thomascreutzig correlatorcorrespondencesforsubregularwmathcalwalgebrasandprincipalwmathcalwsuperalgebras AT yasuakihikida correlatorcorrespondencesforsubregularwmathcalwalgebrasandprincipalwmathcalwsuperalgebras AT devonstockal correlatorcorrespondencesforsubregularwmathcalwalgebrasandprincipalwmathcalwsuperalgebras |
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1716829446277693440 |