Algebraic quantization of the closed bosonic string

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.

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

References in corpus (2)

• The Nambu-Goto Theory of Closed Bosonic Strings Moving in 1+3-Dimensional Minkowski Space: The Quantum Algebra of Observables
• The Nambu-Goto Theory of Closed Bosonic Strings Moving in 1+3-Dimensional Minkowski Space: The Construction of the Quantum Algebra of Observables up to Degree Five

Cited by in corpus (14)

• The Effective Theory of Long Strings
• The LQG -- String: Loop Quantum Gravity Quantization of String Theory I. Flat Target Space
• The effective theory of strings
• The Rest-Frame Instant Form and Dirac Observables for the Open Nambu String
• From Loop Space Mechanics to Nonabelian Strings
• String quantization: Fock vs. LQG Representations
• DDF and Pohlmeyer invariants of (super)string
• Integrable String Models in Terms of Chiral Invariants of SU(n), SO(n), SP(n) Groups
• The invariant charges of the Nambu-Goto String and Canonical Quantization
• String theory deconstructed
• Pohlmeyer invariants are expressible in terms of DDF invariants
• Super-Pohlmeyer invariants and boundary states for non-abelian gauge fields
• The Algebra of Observables of the closed Bosonic String in (1+3)-dimensional Minkowski-Space: updating the structural Analysis
• Local aspects of free open bosonic string field theory