Algebraic quantization of the closed bosonic string

Meusburger C, Rehren KH (2003)

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2003

Journal

Communications in Mathematical Physics Springer Verlag (Germany)

Publisher: Springer Verlag (Germany)

Book Volume: 237

Pages Range: 69-85

DOI: 10.1007/s00220-003-0816-6

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.

Authors with CRIS profile

Cathérine Meusburger Professur für Mathematik (Darstellungstheorie und Mathematische Physik)

Involved external institutions

Georg-August-Universität Göttingen DE Germany (DE)

How to cite

APA:

Meusburger, C., & Rehren, K.-H. (2003). Algebraic quantization of the closed bosonic string. Communications in Mathematical Physics, 237, 69-85. https://dx.doi.org/10.1007/s00220-003-0816-6

MLA:

Meusburger, Cathérine, and Karl-Henning Rehren. "Algebraic quantization of the closed bosonic string." Communications in Mathematical Physics 237 (2003): 69-85.

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