Bordered Riemann surfaces, Schottky groups and off-shell string amplitudes
199129 pages
Published in:
- Int.J.Mod.Phys.A 6 (1991) 1719-1747
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Abstract: (WSP)
We propose an off-shell extension of the closed bosonic string scattering amplitudes as functional integrals over bordered Riemann surfaces. The tree level off-shell N-scalars amplitude is handled with the help of Schottky groups and the Burnside θ-series. Using these tools and the asymptotic behaviour of the partition function at the boundary of the moduli space, we show that the off-shell amplitudes exhibit the tachyon mass-shell poles in the external momenta. In addition, their residues are shown to be the semi-off-shell amplitudes and the well-known Koba-Nielsen amplitudes.- string model: boson
- string: closed
- scattering amplitude: off-shell
- off-shell: scattering amplitude
- Riemann surface
- group theory: Schottky
- partition function: asymptotic behavior
- moduli space
- boundary condition
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