Physics
Scientific paper
Oct 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991czjph..41..873k&link_type=abstract
Czechoslovak Journal of Physics (ISSN 0011-4626), vol. 41, Oct. 1991, p. 873-890.
Physics
2
Gravitational Waves, Shock Wave Propagation, String Theory, Einstein Equations, Plane Waves, Quantum Theory, S Matrix Theory, Space-Time Functions
Scientific paper
Classical propagation of (super)strings through gravitational shock waves is analyzed. The exact classical solutions are used for quantization and for the identification of the exact quantum S-matrix describing string scattering by the wave. This S-matrix coincides with the S-matrix of the string-string scattering in the flat space-time for particular profile of the shock wave. This is interpreted as the generation of curved geometry from the flat space-time string theory. The quantum consistence of (super)string motion in gravitational plane wave backgrounds is then studied. For the standard dimensions D = 26 (D = 10), the vanishing of the Ricci tensor for the plane wave is sufficient condition for vanishing of the Weyl (super Weyl) anomaly. Thus, plane wave solutions of the Einstein equations are automatically the classical (super)string vacua. For particular plane waves, the anomaly can even be evaluated nonperturbatively.
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