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},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2010_163_3_a4/}
}
TY - JOUR AU - D. A. Polyakov TI - Ground ring of $\alpha$-generators and a~sequence of Ramond--Neveu--Schwarz string theories JO - Teoretičeskaâ i matematičeskaâ fizika PY - 2010 SP - 391 EP - 402 VL - 163 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_2010_163_3_a4/ LA - ru ID - TMF_2010_163_3_a4 ER -
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/