Algebraic quantization of the closed bosonic string

Details Algebraic quantization of the closed bosonic string Algebraic quantization of the closed bosonic string

2002-02-26

arxiv.org/abs/math-ph/0202041v2

Commun.Math.Phys.237:69-85,2003

Physics

Mathematical Physics

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

Scientific paper

10.1007/s00220-003-0816-6

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.

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