
We construct a string field Hamiltonian for a noncritical string theory with the continuum limit of the Ising model or its generalization as the matter theory on the worldsheet. It consists of only three string vertices as in the case for $c=0$. We also discuss a general consistency condition that should be satisfied by this kind of string field Hamiltonian.
17 pages, LaTex file, KEK-TH-378
Applications of differential geometry to physics, High Energy Physics - Theory, High Energy Physics - Theory (hep-th), FOS: Physical sciences, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics, Continuum limits in quantum field theory
Applications of differential geometry to physics, High Energy Physics - Theory, High Energy Physics - Theory (hep-th), FOS: Physical sciences, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics, Continuum limits in quantum field theory
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