The matrix model representation of c = 1 matter coupled to two-dimensional quantum gravity is analyzed as a string theory. It is shown that a natural representation of the string field theory is that of free, two-dimensional Dirac fermions. One of the dimensions is that of the target space, the other arises from the space of the eigenvalues of the matrices and is identified with the zero mode of the Liouville field. The higher-order contributions to the correlation functions of the observables arise from translationally non-invariant corrections to the fermion kinetic energy. We discuss the integrability of this model and present some calculations of correlation functions using this formalism.
All Science Journal Classification (ASJC) codes
- Nuclear and High Energy Physics