English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We examine a strong/weak duality between a Heisenberg coset of a theory with$\mathfrak{sl}_n$ subregular $\mathcal{W}$-algebra symmetry and a theory with a$\mathfrak{sl}_{n|1}$-structure. In a previous work, two of the current authorsprovided a path integral derivation of correlator correspondences for a seriesof generalized Fateev-Zamolodchikov-Zamolodchikov (FZZ-)duality. In this paper,we derive correlator correspondences in a similar way but for a differentseries of generalized duality. This work is a part of the project to realizethe duality of corner vertex operator algebras proposed by Gaiotto andRap\v{c}\'ak and partly proven by Linshaw and one of us in terms of twodimensional conformal field theory. We also examine another type of dualityinvolving an additional pair of fermions, which is a natural generalization ofthe fermionic FZZ-duality. The generalization should be important since aprincipal $\mathcal{W}$-superalgebra appears as its symmetry and the propertiesof the superalgebra are less understood than bosonic counterparts.

Correlator correspondences for subregular $\mathcal{W}$-algebras and principal $\mathcal{W}$-superalgebras