Holomorphicity, vortex attachment, gauge invariance and the fractional quantum Hall effect

DOI10.1088/1751-8121/ac3d67zbMath1499.81100arXiv2106.10793OpenAlexW3216545568MaRDI QIDQ5049508

Abhishek Agarwal

Publication date: 11 November 2022

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.10793

zbMATH Keywords

fractional quantum Hall effectcomposite bosonscomposite fermionsfield theories in \(D = 2 + 1\)

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Many-body theory; quantum Hall effect (81V70)

Cites Work

• Quantum Hall effect in higher dimensions
• The Hamiltonian analysis for Yang-Mills theory on
• Planar Yang-Mills theory: Hamiltonian, regulators and mass gap
• The Hamiltonian approach to Yang-Mills (2+1): expansion scheme and corrections to string tension
• \(W_ \infty\) algebras in the quantum Hall effect.
• Anyons on the sphere: analytic states and spectrum
• Hamiltonian theories of the fractional quantum Hall effect
• A FIELD THEORY FOR THE READ OPERATOR
• Quantum Hall effect in higher dimensions, matrix models and fuzzy geometry
• Fermions, mass-gap and Landau levels: gauge invariant Hamiltonian for QCD in D = 2+1
• Quantum Field Theory and Condensed Matter
• Composite Fermions
• Ground state wave functions for the quantum Hall effect on a sphere and the Atiyah–Singer index theorem

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