Algebraic quantization of the closed bosonic string
Mathematical Physics
2008-11-26 v2 High Energy Physics - Theory
math.MP
Quantum Physics
Abstract
The gauge invariant observables of the closed bosonic string are quantized without anomalies in four space-time dimensions by constructing their quantum algebra in a manifestly covariant approach. The quantum algebra is the kernel of a derivation on the universal envelopping algebra of an infinite-dimensional Lie algebra. The search for Hilbert space representations of this algebra is separated from its construction, and postponed.
Cite
@article{arxiv.math-ph/0202041,
title = {Algebraic quantization of the closed bosonic string},
author = {C. Meusburger and K. -H. Rehren},
journal= {arXiv preprint arXiv:math-ph/0202041},
year = {2008}
}
Comments
22 pages. Revised: minor changes as in the published version (CMP)