Riemann surfaces, Clifford algebras and infinite dimensional groups

DOI10.1007/BF02473351zbMath0721.30034OpenAlexW2019600729MaRDI QIDQ2640732

Michael G. Eastwood, Alan L. Carey, Keith C. Hannabuss

Publication date: 1990

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02473351

zbMATH Keywords

Riemann surfacesKac-Moody algebrasFock representationsoliton solutionsLandau-Lifshitz equationvertex operatorline bundlesprojective representationfixed point free involutiongauge group of meromorphic functionsinfinite dimensional Clifford algebra

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Functions of hypercomplex variables and generalized variables (30G35) Applications of Lie (super)algebras to physics, etc. (17B81) Simple, semisimple, reductive (super)algebras (17B20) Riemann surfaces (30F99)

Related Items (4)

The Krichever map, vector bundles over algebraic curves, and Heisenberg algebras ⋮ Infinite dimensional groups and Riemann surface field theories ⋮ Operator formalism on general algebraic curves ⋮ The Landau-Lifshitz equation, elliptic curves and the Ward transform

Cites Work

• Unnamed Item
• Infinite complex spin groups
• The Riemann boundary problem on Riemann surfaces and the inverse scattering problem for the Landau-Lifschitz equation
• On fermionic gauge groups, current algebras and Kac-Moody algebras
• Products in spin representations
• Automorphisms of the canonical anticommutation relations and index theory
• Quasi-free 'second quantization'
• On quasifree states of CAR and Bogoliubov automorphisms
• Landau-Lifshitz equation: solitons, quasi-periodic solutions and infinite-dimensional Lie algebras

This page was built for publication: Riemann surfaces, Clifford algebras and infinite dimensional groups