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

Original language | English |
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Pages (from-to) | 69-85 |

Number of pages | 17 |

Journal | Communications in Mathematical Physics |

Volume | 237 |

Issue number | 1-2 |

Publication status | Published - Jun 2003 |

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## Cite this

Meusburger, C., & Rehren, K. H. (2003). Algebraic quantization of the closed bosonic string.

*Communications in Mathematical Physics*,*237*(1-2), 69-85.