Gravitational waves as string vacua. III

Details Gravitational waves as string vacua. III Gravitational waves as string vacua. III

Feb 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992czjph..42..121k&link_type=abstract

Czechoslovak Journal of Physics (ISSN 0011-4626), vol. 42, no. 2, Feb. 1992, p. 121-140.

Mathematics

Gravitational Waves, Mathematical Models, Plane Waves, String Theory, Vacuum, Equations Of Motion, Operators (Mathematics), S Matrix Theory, Shock Waves, Singularity (Mathematics)

Scientific paper

Perturbative construction of 'in' and 'out' scalar vertex operators in nonlinear sigma-models corresponding to gravitational plane wave backgrounds are described. The calculation is performed to all loops in the weak field limit and up to three loops in the usual perturbation expansion. The closed expressions for the vertex operators are given. They exhibit peculiar singularities in the target space which are closely related to the focusing phenomena in such backgrounds described in the previous parts of this review. Then the appendix is provided in which finite planar shell shock waves are studied. The review ends up with conclusions and a short list of related results published since it was written.

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