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Duality symmetric quantization of superstrings

Journal Article · · Physical Review, D
 [1]
  1. Physics Department, Stanford University, Stanford, California 94305 (United States)
A general covariant quantization of a superparticle, Green-Schwarz superstring, and a supermembrane with manifest supersymmetry and duality symmetry is proposed. This quantization provides a natural quantum-mechanical description of curved BPS-type backgrounds related to the ultrashort supersymmetry multiplets. Half-size commuting and anticommuting Killing spinors admitted by such backgrounds in quantum theory become truncated {kappa}-symmetry ghosts. The symmetry of Killing spinors under dualities transfers to the symmetry of the spectrum of states. A GS superstring in the generalized semi-light-cone gauge can be quantized consistently in the background of ten-dimensional supersymmetric gravitational waves. Upon compactification they become supersymmetric electrically charged black holes, either massive or massless. However, the generalized light-cone gauge breaks {ital S} duality. We propose a new family of gauges, which we call black hole gauges. These gauges are suitable for quantization both in flat Minkowski space and in the black hole background, and they are duality symmetric. As an example, a manifestly {ital S}-duality symmetric black hole gauge is constructed in terms of the axion-dilaton-electric-magnetic black hole hair. We also suggest the {ital U}-duality covariant class of gauges for type II superstrings.
OSTI ID:
130752
Journal Information:
Physical Review, D, Journal Name: Physical Review, D Journal Issue: 10 Vol. 52; ISSN 0556-2821; ISSN PRVDAQ
Country of Publication:
United States
Language:
English

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