Combinatorics of Strings and Equivalence of Witten's String Field Theory to Polyakov's String Theory
- 1 April 1988
- journal article
- Published by Oxford University Press (OUP) in Progress of Theoretical Physics
- Vol. 79 (4) , 936-952
- https://doi.org/10.1143/ptp.79.936
Abstract
It is shown that Polyakov's string theory and Witten's open bosonic string field theory give the same vacuum amplitudes with correct combinational factors in arbitrary order of perturbation expansion. The proof is based on the fact that the symmetry factor of mapping class group and the combinatorial factor of string Feynman diagram are equal. Extension to the on-shell amplitudes is also discussed.Keywords
This publication has 2 references indexed in Scilit:
- The Euler characteristic of the moduli space of curvesInventiones Mathematicae, 1986
- The virtual cohomological dimension of the mapping class group of an orientable surfaceInventiones Mathematicae, 1986