Talk page
Title:
Emergence of Clustered non-Abelian Quantum Hall States from non-Abelian duality
Speaker:
Abstract:
The vast majority of experimentally observed fractional quantum Hall states can be reliably explained within the framework of composite fermion and composite boson field theories. However, such composite particle theories have proved less successful in describing the emergence of exotic non-Abelian FQH states, such as the Read-Rezayi sequence. In this talk, I will show how Landau-Ginzburg theories for a large class of non-Abelian FQH states, including the Read-Rezayi and non-Abelian spin singlet sequences, can be formulated by making use of recently proposed Chern-Simons-matter theory dualities. These dualities roughly take the form of a non-Abelian version of flux attachment and allow for accessing regions of the FQH phase diagram which are not so easily seen in the standard composite fermion and boson pictures. Our construction employs the condensation of clusters of composite vortex objects in parent multilayer Abelian states. As I will emphasize, this closely mirrors the structure of ideal wave functions proposed for these states. To conclude, I will briefly discuss how an extension of our analysis to the formulation of an effective field theory for a novel Fibonacci FQH state can be used to motivate a trial wave function for this state.
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