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 Tools annual

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 monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

We derive correspondences of correlation functions among dual conformal fieldtheories in two dimensions by developing a "first order formulation" of cosetmodels. We examine several examples, and the most fundamental one may be aconjectural equivalence between a coset $(SL(n)_k \otimesSL(n)_{-1})/SL(n)_{k-1}$ and $\mathfrak{sl}(n)$ Toda field theory with genericlevel $k$. Among others, we also complete the derivation of higher rankFZZ-duality involving a coset $SL(n+1)_k /(SL(n)_{k} \otimes U(1))$, whichcould be done only for $n=2,3$ in our previous paper. One obstacle in theprevious work was our poor understanding of a first order formulation of cosetmodels. In this paper, we establish such a formulation using the BRSTformalism. With our better understanding, we successfully derive correlatorcorrespondences of dual models including the examples mentioned above. Thedualities may be regarded as conformal field theory realizations of some of theGaiotto-Rap\v{c}\'ak dualities of corner vertex operator algebras.

Correlator correspondences for Gaiotto-Rap\v{c}\'ak dualities and first order formulation of coset models