2012/07/18 by George Jorjadze, Jan Plefka, Jonas Pollok · 16 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Conformal map #Cosmology and Gravitation Theories #Covariant transformation #Hilbert space #Mathematical analysis #Mathematical physics #Mathematics #Minkowski space #Noncommutative and Quantum Gravity Theories #Physics #Quantization (signal processing) #Quantum mechanics #hep-th
paper · pdf · doi:10.1088/1751-8113/45/48/485401
published in Journal of Physics A Mathematical and Theoretical 45(48), 485401 (Institute of Physics) · 10 pages
arxiv created 2012/07/18 · openalex publication_date 2012/11/19 · arxiv updated 2015/06/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The bosonic string in D -dimensional Minkowski space–time is quantized in a static gauge. It is shown that the system can be described by D − 1 massless free fields constrained on the surface L m = 0, for m ≠ 0, where L m are the generators of conformal transformations. The free fields are quantized and the physical states are selected by the conditions L m |Ψ ph 〉 = 0, for m > 0. The Poincaré group generators on the physical Hilbert space are constructed and the critical dimension D = 26 is recovered from the commutation relations of the boost operators. The equivalence with the covariant quantization is established. A possible generalization to the AdS string dynamics is discussed.