Ground ring of $\alpha$-generators and a~sequence of Ramond--Neveu--Schwarz string theories
Teoretičeskaâ i matematičeskaâ fizika, Tome 163 (2010) no. 3, pp. 391-402

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We construct a sequence of new nilpotent BRST charges in the Ramond–Neveu–Schwarz superstring theory based on the hierarchy of found local gauge symmetries. These gauge symmetries are in turn related to global $\alpha$-symmetries in the space–time forming a noncommutative ring. The constructed BRST charges are presumably connected with the superstring dynamics in a curved space–time with an AdS-type geometry.
Keywords: Ramond–Neveu–Schwarz string, BRST cohomology, $\alpha$-symmetry.
@article{TMF_2010_163_3_a4,
     author = {D. A. Polyakov},
     title = {Ground ring of $\alpha$-generators and a~sequence of {Ramond--Neveu--Schwarz} string theories},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {391--402},
     publisher = {mathdoc},
     volume = {163},
     number = {3},
     year = {2010},
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     url = {http://geodesic.mathdoc.fr/item/TMF_2010_163_3_a4/}
}
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D. A. Polyakov. Ground ring of $\alpha$-generators and a~sequence of Ramond--Neveu--Schwarz string theories. Teoretičeskaâ i matematičeskaâ fizika, Tome 163 (2010) no. 3, pp. 391-402. http://geodesic.mathdoc.fr/item/TMF_2010_163_3_a4/