Non-critical String Field Theory with Non-orientable String Interactions

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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13 pages, INS-Rep.-1038

Scientific paper

10.1016/0370-2693(94)01651-R

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 $\Gx$ which satisfy the relation $(\Gx)^3 = G \Gx$ are introduced, where $G$ counts the number of untwisted handles of the world-sheet while $\Gx$ counts the number of cross-caps. In the case of the non-critical string theory which correspond to multicritical one matrix models (including $c=0$ case), we have succeeded in taking the continuum limit, and then have obtained the continuous string field theory.

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