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

It is an important open problem to understand the landscape of non-Abelianfractional quantum Hall phases which can be obtained starting from physicallymotivated theories of Abelian composite particles. We show that progress onthis problem can be made using recently proposed non-Abelian bosonizationdualities in 2+1 dimensions, which morally relate $U(N)_k$ and $SU(k)_{-N}$Chern-Simons-matter theories. The advantage of these dualities is that regionsof the phase diagram which may be obscure on one side of the duality can beaccessed by condensing local operators on the other side. Starting from parentAbelian states, we use this approach to construct Landau-Ginzburg theories ofnon-Abelian states through a pairing mechanism. In particular, we obtain thebosonic Read-Rezayi sequence at fillings $\nu=k/(kM+2)$ by starting from $k$layers of bosons at $\nu=1/2$ with $M$ Abelian fluxes attached. The Read-Rezayistates arise when $k$-clusters of the dual non-Abelian bosons condense. Weextend this construction by showing that $N_f$-component generalizations of theHalperin $(2,2,1)$ bosonic states have dual descriptions in terms of$SU(N_f+1)_1$ Chern-Simons-matter theories, revealing an emergent globalsymmetry in the process. Clustering $k$ layers of these theories yields anon-Abelian $SU(N_f)$-singlet state at filling $\nu = kN_f / (N_f + 1 +kMN_f)$.

Landau-Ginzburg Theories of Non-Abelian Quantum Hall States from Non-Abelian Bosonization