Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1992-10-20
Nucl.Phys. B404 (1993) 483-516
Physics
High Energy Physics
High Energy Physics - Theory
33 pages, UCB-PTH-92/30 Includes 8 Postscript figures
Scientific paper
10.1016/0550-3213(93)90488-B
A topological procedure for computing correlation functions for any (1,q) model is presented. Our procedure can be used to compute any correlation function on the sphere as well as some correlation functions at higher genus. We derive new and simpler recursion relations that extend previously known results based on W constraints. In addition, we compute an effective contact algebra with multiple contacts that extends Verlindes' algebra. Computational techniques based on the KdV approach are developed and used to compute the same correlation functions. A simple and elegant proof of the puncture equation derived directly from the KdV equations is included. We hope that this approach can lead to a deeper understanding of D=1 quantum gravity and non-critical string theory. (Paper uses tex TeX macro package jytex and includes 8 Postscript figures in the text using dvips (and epsf). Instructions for processing are included.)
Montano David
Rivlis Gil
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