### 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 |
---|---|

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 |

### Fingerprint

### Cite this

*Communications in Mathematical Physics*,

*237*(1-2), 69-85.

}

*Communications in Mathematical Physics*, vol. 237, no. 1-2, pp. 69-85.

**Algebraic quantization of the closed bosonic string.** / Meusburger, Catherine; Rehren, Karl Henning.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Algebraic quantization of the closed bosonic string

AU - Meusburger, Catherine

AU - Rehren, Karl Henning

PY - 2003/6

Y1 - 2003/6

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0037972657&partnerID=8YFLogxK

M3 - Article

VL - 237

SP - 69

EP - 85

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

IS - 1-2

ER -