Non-abelian bosonization in two and three dimensions

DOI10.1016/S0550-3213(96)00676-1zbMath0925.81065arXivhep-th/9609202OpenAlexW2074239424MaRDI QIDQ2565126

J. C. Le Guillou, Fidel Arturo Schaposnik, Enrique F. Moreno, Carlos Nuñez

Publication date: 8 January 1997

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

Full work available at URL: https://arxiv.org/abs/hep-th/9609202

zbMATH Keywords

Dirac operatorpath-integralChern-Simons actionfermion determinantWess-Zumino-Witten action

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Model quantum field theories (81T10) Constructive quantum field theory (81T08)

Related Items (11)

Non-abelian 3\(D\) bosonization and quantum Hall states ⋮ SELF-DUAL FORMULATIONS OF d = 3 GRAVITY THEORIES IN THE PATH-INTEGRAL FRAMEWORK ⋮ Disorder operators and their descendants ⋮ Integrable noncommutative sine-Gordon model ⋮ Duality and bosonization in Schwinger–Keldysh formulation ⋮ Universal transverse conductance between quantum Hall regions and \((2+1)\)D bosonization ⋮ Duality equivalence between self-dual and topologically massive non-abelian models ⋮ Particle-vortex duality and theta terms in AdS/CMT applications ⋮ Three-dimensional fermionic determinants, Chern-Simons and nonlinear field redefinitions ⋮ Duality between Topologically Massive and Self-Dual Models ⋮ Wess-Zumino-Witten and fermion models in noncommutative space

Cites Work

• Non-Abelian bosonization in two dimensions
• Topological quantum field theory
• On holomorphic factorization of WZW and coset models
• Smooth non-abelian bosonization
• Non-abelian bosonization from factored coset models in path integrals.
• Bosonization of three-dimensional non-abelian fermion field theories
• Exactly soluble diffeomorphism invariant theories
• BRST gauge fixing and regularization
• The effective gauge field action of a system of non-relativistic electrons
• Bosonization as duality
• KAC-MOODY AND VIRASORO ALGEBRAS IN RELATION TO QUANTUM PHYSICS
• Topological Yang-Mills symmetry
• The fermion-boson mapping in three-dimensional quantum field theory

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