The \(C^*\)-algebra of bosonic strings

DOI10.1007/BF02100031zbMath0741.46036MaRDI QIDQ1174228

Hans-Werner Wiesbrock

Publication date: 25 June 1992

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

zbMATH Keywords

bosonic stringssemi-infinite formsKähler foliationsfermionic algebra structureFredholm module representationWitten's \(C^*\)-string algebra

Mathematics Subject Classification ID

Applications of selfadjoint operator algebras to physics (46L60)

Related Items

A note on the construction of the C*-algebra of bosonic strings, The construction of the sh-Lie-algebra of closed bosonic strings, Universal Teichmüller space in geometry and physics, Introduction to sh Lie algebras for physicists, The operator quantization of the open bosonic string: Field algebra

Cites Work

• Some remarks on BRS transformations, anomalies and the cohomology of the Lie algebra of the group of gauge transformations
• Determinants of Cauchy-Riemann operators on a Riemann surface
• Measures on infinite dimensional Grassmann manifolds
• String quantization on group manifolds and the holomorphic geometry of Diff \(S^ 1/S^ 1\)
• Unitary representations of some infinite dimensional groups
• Implementation of automorphisms and derivations of the CAR-algebra
• Semi-infinite cohomology and string theory
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