Discretestate moduli of string theory from the c = 1 matrix model
Abstract
We propose a new formulation of the spacetime interpretation of the c = 1 matrix model. Our formulation uses the wellknown legpole factor that relates the matrix model amplitudes to that of the 2dimensional string theory, but includes fluctuations around the Fermi vacuum on both sides of the inverted harmonic oscillator potential of the doublescaled model, even when the fluctuations are small and confined entirely within the asymptotes in the phase plane. We argue that including fluctuations on both sides of the potential is essential for a consistent interpretation of the legpole transformed theory as a theory of spacetime gravity. We reproduce the known results for the string theory treelevel scattering amplitudes for flat space and linear dilaton background as a special case. We show that the generic case corresponds to more general spacetime backgrounds. In particular, we identify the parameter corresponding to background metric perturbation in string theory (blackhole mass) in terms of the matrix model variables. Possible implications of our work for a consistent nonperturbative definition of string theory as well as for quantized gravity and blackhole physics are discussed.
 Publication:

Nuclear Physics B
 Pub Date:
 February 1995
 DOI:
 10.1016/05503213(95)00493C
 arXiv:
 arXiv:hepth/9507041
 Bibcode:
 1995NuPhB.454..541D
 Keywords:

 High Energy Physics  Theory
 EPrint:
 21 pages, latex, epsf, in 2 parts, part 2 contains 3 uuencoded figures (one reference added, some minor typos corrected and one sentence modified on page 17)