Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1993-01-27
Nucl.Phys.B414:239-266,1994
Physics
High Energy Physics
High Energy Physics - Theory
(Slight corrections to title, text, terminology and references. Note added. No change in physics.) , 30pp, IASSNS--HEP--93/5
Scientific paper
10.1016/0550-3213(94)90430-8
The integrable structure of open--closed string theories in the $(p,q)$ conformal minimal model backgrounds is presented. The relation between the $\tau$--function of the closed string theory and that of the open--closed string theory is uncovered. The resulting description of the open--closed string theory is shown to fit very naturally into the framework of the $sl(q,{\rm C})$ KdV hierarchies. In particular, the twisted bosons which underlie and organise the structure of the closed string theory play a similar role here and may be employed to derive loop equations and correlation function recursion relations for the open--closed strings in a simple way.
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