SOLITONS ON NONCOMMUTATIVE TORUS AS ELLIPTIC CALOGERO–GAUDIN MODELS, BRANES AND LAUGHLIN WAVE FUNCTIONS

DOI10.1142/S0217751X03014228zbMath1026.81051arXivhep-th/0204163MaRDI QIDQ4407262

Bo-Yu Hou, Rui-Hong Yue, Kang-jie Shi, Dan-Tao Peng

Publication date: 15 December 2003

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0204163

zbMATH Keywords

Heisenberg groupquantum Hall effectnoncommutative Chern-Simons theoryLaughlin wave functionorbifoldinglattice of coherent states

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Soliton equations (35Q51) Noncommutative geometry methods in quantum field theory (81T75) Many-body theory; quantum Hall effect (81V70) Noncommutative geometry (à la Connes) (58B34)

Related Items (2)

Soliton solutions on noncommutative orbifold T2/Z4 ⋮ THE MANIFESTLY COVARIANT SOLITON SOLUTIONS ON NONCOMMUTATIVE ORBIFOLDS T²/Z₆ AND T²/Z₃

Cites Work

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• SOME PROPERTIES OF NONLINEAR σ-MODELS IN NONCOMMUTATIVE GEOMETRY
• Non-commutative solitons
• Exact noncommutative solitons

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