# Factorization Conjecture and the Open/Closed String Correspondence
**Source**: https://www.maths.tcd.ie/report_series/abstracts/tcdm0423.html
**Parent**: https://www.maths.tcd.ie/research/papers/
**Factorization Conjecture and the Open/Closed String Correspondence**
We present evidence for the factorization of the world-sheet path
integrals for 2d conformal field theories on the disk into bulk and
boundary contributions. This factorization is then used to reinterpret
a shift in closed string backgrounds in terms of boundary deformations
in background independent open string field theory. We give a proof of
the factorization conjecture in the cases where the background is
represented by WZW and related models.