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TMF, 2010 Volume 163, Number 3, Pages 391–402 (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

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.

DOI: 10.4213/tmf6509


 English version:
Theoretical and Mathematical Physics, 2010, 163:3, 725–733

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© Steklov Math. Inst. of RAS, 2025