Algebraic quantization of the closed bosonic string

Catherine Meusburger, Karl Henning Rehren

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)


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 Hubert space representations of this algebra is separated from its construction, and postponed.

Original languageEnglish
Pages (from-to)69-85
Number of pages17
JournalCommunications in Mathematical Physics
Issue number1-2
Publication statusPublished - Jun 2003


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