Algebraic Quantization of the Closed Bosonic String
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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 Hilbert space representations of this algebra is separated from its construction, and postponed.
KeywordsHilbert Space Space Representation Bosonic String Covariant Approach Quantum Algebra
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