Geodesic
Geometric quantization of~strings and reparametrization invariance
Teoretičeskaâ i matematičeskaâ fizika, Tome 83 (1990) no. 3, pp. 384-398

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The structure of the phase space of closed bosonic strings in $R^{d-1,1}$ and its geometric quantization are investigated. It is shown that the critical dimension $d=26$ for bosonic strings arises as a condition of integrability of the quantum connection on the fibers of a bundle of complex structures over a loop space. The connection with BRST (Becchi–Rouet–Stora–Tyutin) string quantization is considered. 
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     author = {A. D. Popov},
     title = {Geometric quantization of~strings and reparametrization invariance},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {384--398},
     publisher = {mathdoc},
     volume = {83},
     number = {3},
     year = {1990},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1990_83_3_a6/}
}
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A. D. Popov. Geometric quantization of~strings and reparametrization invariance. Teoretičeskaâ i matematičeskaâ fizika, Tome 83 (1990) no. 3, pp. 384-398. http://geodesic.mathdoc.fr/item/TMF_1990_83_3_a6/