Algebraic quantization of the closed bosonic string

Catherine Meusburger, Karl Henning Rehren

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)69-85
Number of pages17
JournalCommunications in Mathematical Physics
Volume237
Issue number1-2
Publication statusPublished - Jun 2003

Fingerprint

algebra
strings
derivation
symmetry

Cite this

Meusburger, C., & Rehren, K. H. (2003). Algebraic quantization of the closed bosonic string. Communications in Mathematical Physics, 237(1-2), 69-85.
Meusburger, Catherine ; Rehren, Karl Henning. / Algebraic quantization of the closed bosonic string. In: Communications in Mathematical Physics. 2003 ; Vol. 237, No. 1-2. pp. 69-85.
@article{b589b89951814b61a7a53c0550c8a14c,
title = "Algebraic quantization of the closed bosonic string",
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.",
author = "Catherine Meusburger and Rehren, {Karl Henning}",
year = "2003",
month = "6",
language = "English",
volume = "237",
pages = "69--85",
journal = "Communications in Mathematical Physics",
issn = "0010-3616",
publisher = "Springer",
number = "1-2",

}

Meusburger, C & Rehren, KH 2003, 'Algebraic quantization of the closed bosonic string', Communications in Mathematical Physics, vol. 237, no. 1-2, pp. 69-85.

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

In: Communications in Mathematical Physics, Vol. 237, No. 1-2, 06.2003, p. 69-85.

Research output: Contribution to journalArticle

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 -