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

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.

13 pages, INS-Rep.-1038

References in corpus (4)

• Transfer Matrix Formalism for Two-Dimensional Quantum Gravity and Fractal Structures of Space-time
• String Field Theory of Noncritical Strings
• String Field Theory of $c\le 1$ Noncritical Strings
• Scaling Functions for Baby Universes in Two-Dimensional Quantum Gravity

Cited by in corpus (5)

• The quantum space-time of c=-2 gravity
• Dynamical Triangulations, a Gateway to Quantum Gravity ?
• The Hausdorff Dimension of Surfaces in Two-Dimensional Quantum Gravity Coupled to Ising Minimal Matter
• A model for emergence of space and time
• Numerical study for the c-dependence of fractal dimension in two-dimensional quantum gravity