Duality Symmetric Quantization of Superstring

Abstract

A general covariant quantization of 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 ultra-short 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. 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 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 S-duality symmetric black hole gauge is constructed in terms of the axion-dilaton-electric-magnetic black hole hair. We also suggest the U-duality covariant class of gauges for type II superstrings.

49 pages, LaTeX

References in corpus (24)

• String Theory Dynamics In Various Dimensions
• Unity of Superstring Dualities
• String Solitons
• Massless Black Holes and Conifolds in String Theory
• Duality in the Type--II Superstring Effective Action
• EXTREMAL BLACK HOLES AND ELEMENTARY STRING STATES
• Supersymmetry as a Cosmic Censor
• Duality Symmetries of 4D Heterotic Strings
• A New Class of Exact Solutions in String Theory
• On S-Duality in Abelian Gauge Theory
• Charge Quantization of Axion-Dilaton Black Holes
• Supersymmetric String Waves
• Exact Duality in String Effective Action
• Electric-Magnetic Duality and Supersymmetry in Stringy Black Holes
• Extremal black holes as exact string solutions
• SL(2, Z) Duality and Magnetically Charged Strings
• Sl(2,R)-Duality Covariance of Killing Spinors in Axion-Dilaton Black Holes
• Exact SU(2)*U(1) Stringy Black Holes
• Black-Hole-Wave Duality in String Theory
• The 10-D chiral null model and the relation to 4-D string solutions
• FERMION ZERO MODES AND BLACK-HOLE HYPERMULTIPLETS WITH RIGID SUPERSYMMETRY
• BLACK HOLE MULTIPLETS AND SPONTANEOUS BREAKING OF LOCAL SUPERSYMMETRY
• k-Anomalies and Space-Time Supersymmetry in the Green-Schwarz Heterotic Superstring
• String k-anomalies and D=10 Supergravity constraints: the solution of a puzzle

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• An index for the Dirac operator on D3 branes with background fluxes
• Superconformal Actions in Killing Gauge
• Massless BPS-Saturated States on the Two-Torus Moduli Sub-Space of Heterotic String
• Supersymmetric Balance of Forces and Condensation of BPS States
• Particle Growth and BPS Saturated States
• Massless Black Holes as Black Diholes and Quadruholes
• Generalized action principle and extrinsic geometry for N=1 superparticle
• Black Hole Superpartners and Fixed Scalars
• F & H Monopoles
• Supersymmetric dyonic black holes of IIA string on Six Torus
• Non-Perturbative States in Superstring Theories