Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-05-29
Int.J.Mod.Phys.A24:5897-5924,2009
Physics
High Energy Physics
High Energy Physics - Theory
31 pages, typos corrected
Scientific paper
10.1142/S0217751X09047417
We construct a sequence of nilpotent BRST charges in RNS superstring theory, based on new gauge symmetries on the worldsheet, found in this paper. These new local gauge symmetries originate from the global nonlinear space-time $\alpha$-symmetries, shown to form a noncommutative ground ring in this work. The important subalgebra of these symmetries is $U(3)\times{X_6}$, where $X_6$ is solvable Lie algebra consisting of 6 elements with commutators reminiscent of the Virasoro type. We argue that the new BRST charges found in this work describe the kinetic terms in string field theories around curved backgrounds of the $AdS\times{CP}_n$-type, determined by the geometries of hidden extra dimensions induced by the global $\alpha$-generators. The identification of these backgrounds is however left for the work in progress.
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