Abstract
We study the non-critical string field theory with non-orientable string interactions by using the transfer matrix formalism in the dynamical triangulation. For any value of c (total central charge of matter), we have constructed the non-orientable string field theory at the discrete level. Two coupling constants G and G′ which satisfy the relation ( G′) 3 = GG′ are introduced, where G counts the number of untwisted handles of the world-sheet while G′ counts the number of cross-caps. In the case of the non-critical string theory which corresponds to multicritical one matrix models (including the c=0 case), we have succeeded in taking the continuum limit, and then have obtained the continuous string field theory.
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