Discrete State Moduli of String Theory from c=1 Matrix Model

Abstract

We propose a new formulation of the space-time interpretation of the $c=1$ matrix model. Our formulation uses the well-known leg-pole factor that relates the matrix model amplitudes to that of the 2-dimensional string theory, but includes fluctuations around the fermi vacuum on {\sl both sides} of the inverted harmonic oscillator potential of the double-scaled 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 leg-pole transformed theory as a theory of space-time gravity. We reproduce the known results for the string theory tree level scattering amplitudes for flat space and linear dilaton background as a special case. We show that the generic case corresponds to more general space-time backgrounds. In particular, we identify the parameter corresponding to background metric perturbation in string theory (black hole 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 black-hole physics are discussed.

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)

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Cited by in corpus (16)

• Tachyon Dynamics in Open String Theory
• Strings from Tachyons
• A Matrix Model Dual of Type 0B String Theory in Two Dimensions
• Fermions from Half-BPS Supergravity
• On the S-matrix of Type 0 String Theory
• Rolling Tachyon Boundary State, Conserved Charges and Two Dimensional String Theory
• Quantum quench in matrix models: Dynamical phase transitions, Selective equilibration and the Generalized Gibbs Ensemble
• Non-Perturbative String Equations for Type 0A
• Absorption and Hawking Radiation of Minimal and Fixed Scalars, and AdS/CFT correspondence
• Symmetries, Conserved Charges and (Black) Holes in Two Dimensional String Theory
• Matrix Models and 2D String Theory
• The emergence of space-time gravitational physics as an effective theory from the c=1 matrix model
• Duality between the quantum inverted harmonic oscillator and inverse square potentials
• Rolling tachyon solution of two-dimensional string theory
• Into the bulk: reconstructing spacetime from the c=1 matrix model
• Massive Fields and the 2D String