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

TL;DR

This paper develops a non-critical string field theory incorporating non-orientable interactions using transfer matrix formalism, applicable for any matter central charge, and successfully derives a continuum limit for multicritical models.

Contribution

It introduces a novel non-orientable string field theory framework at the discrete level for arbitrary central charge and constructs its continuum limit for multicritical models.

Findings

Constructed non-orientable string field theory for any central charge.

Defined coupling constants G and Gx satisfying (Gx)^3 = G Gx.

Achieved continuum limit for multicritical models including c=0.

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 $\Gx$ 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.