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Communications in Mathematical Physics

, Volume 237, Issue 1–2, pp 69–85 | Cite as

Algebraic Quantization of the Closed Bosonic String

  • Catherine Meusburger
  • Karl-Henning Rehren

Abstract:

 The gauge invariant observables of the closed bosonic string are quantized in four space-time dimensions by constructing their quantum algebra in a manifestly covariant approach, respecting all symmetries of the classical observables. The quantum algebra is the kernel of a derivation on the universal enveloping algebra of an infinite-dimensional Lie algebra. The search for Hilbert space representations of this algebra is separated from its construction, and postponed.

Keywords

Hilbert Space Space Representation Bosonic String Covariant Approach Quantum Algebra 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Catherine Meusburger
    • 1
  • Karl-Henning Rehren
    • 2
  1. 1.Fakultät für Physik, Universität Freiburg, 79104 Freiburg, GermanyDE
  2. 2.Institut für Theoretische Physik, Universität Göttingen, 37073 Göttingen, Germany. E-mail: rehren@theorie.physik.uni-goe.deDE

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