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Algebraic quantization of the closed bosonic string

数学物理 2008-11-26 v2 高能物理 - 理论 math.MP 量子物理

摘要

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.

关键词

引用

@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}
}

备注

22 pages. Revised: minor changes as in the published version (CMP)