Tachyon Backgrounds in 2D String Theory

Abstract

We consider the construction of tachyonic backgrounds in two-dimensional string theory, focusing on the Sine-Liouville background. This can be studied in two different ways, one within the context of collective field theory and the other via the formalism of Toda integrable systems. The two approaches are seemingly different. The latter involves a deformation of the original inverted oscillator potential while the former does not. We perform a comparison by explicitly constructing the Fermi surface in each case, and demonstrate that the two apparently different approaches are in fact equivalent.

25 pages, no figures

References in corpus (2)

• Spacelike boundaries from the c=1 Matrix Model
• On The Problem of Particle Production in c=1 Matrix Model

Cited by in corpus (5)

• Physics of the Inverted Harmonic Oscillator: From the lowest Landau level to event horizons
• Inverted Oscillator
• Quasinormal Modes and Hawking-Unruh effect in Quantum Hall Systems: Lessons from Black Hole Phenomena
• Classical Propagation in the Quantum Inverted Oscillator
• Integrable Deformations of $\hat{c}=1$ Strings in Flux Backgrounds