Relating Kac-Moody, Virasoro and Krichever-Novikov algebras

DOI10.1007/BF01217964zbMath0665.17011MaRDI QIDQ1115955

José Alberty, Anne Taormina, Pierre Van Baal

Publication date: 1988

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

zbMATH Keywords

Riemann surfaceVirasoro algebraKac-Moody algebraKrichever-Novikov algebrastwo-dimensional conformal field theoriesBogolyubov transformationAffine Lie algebrasstring multiloop amplitudes

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Compact Riemann surfaces and uniformization (30F10) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Infinite-dimensional Lie (super)algebras (17B65)

Related Items

A proof of polynomial identities of type sl(n̂)1⊗sl(n̂)1/sl(n̂)2 ⋮ Krichever-Novikov global operator formalism: NSR superstring in curved background ⋮ Krichever-Novikov formulation of topological conformal field theory ⋮ Algebraic structure of topological superconformal field theory on Riemann surfaces ⋮ Krichever-Novikov algebras for more than two points ⋮ Krichever-Novikov-like bases on punctured Riemann surfaces ⋮ The central extension of Kac-Moody-Malcev algebras

Cites Work

• Quantum field theory, Grassmannians, and algebraic curves
• \(c=I\) conformal field theories on Riemann surfaces
• Virasoro-type algebras, Riemann surfaces and strings in Minkowski space
• Infinite conformal symmetry in two-dimensional quantum field theory
• Unitary representations of some infinite dimensional groups
• Theta functions on Riemann surfaces