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Teoreticheskaya i Matematicheskaya Fizika, 2010, Volume 163, Number 3, Pages 391–402
DOI: https://doi.org/10.4213/tmf6509 (Mi tmf6509) 		 
Ground ring of $\alpha$-generators and a sequence of Ramond–Neveu–Schwarz string theories

D. A. Polyakov

National Institute for Theoretical Physics; School of Physics, University of Witwatersrand, Johannesburg, South Africa
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DOI: https://doi.org/10.4213/tmf6509
Abstract: 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.
English version:
Theoretical and Mathematical Physics, 2010, Volume 163, Issue 3, Pages 725–733
DOI: https://doi.org/10.1007/s11232-010-0056-9
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Document Type: Article
Language: Russian
Citation: D. A. Polyakov, “Ground ring of $\alpha$-generators and a sequence of Ramond–Neveu–Schwarz string theories”, TMF, 163:3 (2010), 391–402; Theoret. and Math. Phys., 163:3 (2010), 725–733
Citation in format AMSBIB
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