String quantization on group manifolds and the holomorphic geometry of Diff \(S^ 1/S^ 1\)

DOI10.1007/BF01225379zbMath0629.58035MaRDI QIDQ1093970

Jouko Mickelsson

Publication date: 1987

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

zbMATH Keywords

string moving on a group manifoldstring quantization

Mathematics Subject Classification ID

Applications of global analysis to the sciences (58Z05) Applications of global differential geometry to the sciences (53C80) Geometric quantization (53D50)

Related Items (14)

Current algebra representation for the \(3+1\) dimensional Dirac-Yang-Mills theory ⋮ Complexity measures from geometric actions on Virasoro and Kac-Moody orbits ⋮ A note on the construction of the C*-algebra of bosonic strings ⋮ Berry phases on Virasoro orbits ⋮ Virasoro model space ⋮ The \(C^*\)-algebra of bosonic strings ⋮ The construction of the sh-Lie-algebra of closed bosonic strings ⋮ Fractional loop group and twisted \(K\)-theory ⋮ Twistor quantization of loop spaces of compact Lie groups ⋮ Some comments on Chern-Simons gauge theory ⋮ The Ricci curvature of Diff S1/SL(2, R) ⋮ Universal Teichmüller space in geometry and physics ⋮ The operator quantization of the open bosonic string: Field algebra ⋮ Anomalies and curvature of \(W\) manifolds

Cites Work

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• Kac-Moody groups, topology of the Dirac determinant bundle, and fermionization
• Non-Abelian bosonization in two dimensions
• Structure and unitary cocycle representations of loop groups and the group of diffeomorphisms of the circle.
• Semi-infinite cohomology and string theory
• KAC-MOODY AND VIRASORO ALGEBRAS IN RELATION TO QUANTUM PHYSICS
• The inverse function theorem of Nash and Moser

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