Lattice BF theory, dumbbells, and composite fermions

DOI10.1016/j.nuclphysb.2022.115877zbMath1500.81064arXiv2112.08316OpenAlexW4226301088MaRDI QIDQ2155280

Tom Banks, Bingnan Zhang

Publication date: 15 July 2022

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.08316

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Many-body theory; quantum Hall effect (81V70) Topological field theories in quantum mechanics (81T45) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35) Fermionic systems in quantum theory (81V74)

Related Items (1)

Lattice Chern-Simons model for FQHE

Cites Work

• Topological gauge theories and group cohomology
• Chern-Simons theory on the lattice
• Quantum field theories of vortices and anyons
• Anyonization of lattice Chern-Simons theory
• On pure lattice Chern-Simons gauge theories.

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