# Non-Abelian fermionization and the landscape of quantum Hall phases

@article{Goldman2020NonAbelianFA, title={Non-Abelian fermionization and the landscape of quantum Hall phases}, author={Hart Goldman and Raman Sohal and Eduardo Fradkin}, journal={arXiv: Strongly Correlated Electrons}, year={2020} }

The recent proposal of non-Abelian boson-fermion dualities in 2+1 dimensions, which morally relate $U(k)_N$ to $SU(N)_{-k}$ Chern-Simons-matter theories, presents a new platform for exploring the landscape of non-Abelian quantum Hall states accessible from theories of Abelian composite particles. Here we focus on dualities relating theories of Abelian quantum Hall states of bosons or fermions to theories of non-Abelian "composite fermions" partially filling Landau levels. We show that these…

## One Citation

Lowest Landau level theory of the bosonic Jain states

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Quantum Hall systems offer the most familiar setting where strong inter-particle interactions combine with the topology of single particle states to yield novel phenomena. Despite our mature…

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