Energy Quantisation in Bulk Bouncing Tachyon

Abstract

We argue that the closed string energy in the bulk bouncing tachyon background is to be quantised in a simple manner as if strings were trapped in a finite time interval. We discuss it from three different viewpoints; (1) the timelike continuation of the sinh-Gordon model, (2) the dual matrix model description of the (1+1)-dimensional string theory with the bulk bouncing tachyon condensate, (3) the c_L=1 limit of the timelike Liouville theory with the dual Liouville potential turned on. There appears to be a parallel between the bulk bouncing tachyon and the full S-brane of D-brane decay. We find the critical value λ_c of the bulk bouncing tachyon coupling which is analogous to λ_o=1/2 of the full S-brane coupling, at which the system is thought to be at the bottom of the tachyon potential.

25 pages, minor changes, one reference added

References in corpus (5)

• Boundary Liouville theory at c=1
• Spacelike boundaries from the c=1 Matrix Model
• Time-dependent backgrounds of 2D string theory: Non-perturbative effects
• On The Problem of Particle Production in c=1 Matrix Model
• Matrix Model and Time-like Linear Dilaton Matter

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• The Tachyon at the End of the Universe
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• Cosmological solutions of supercritical string theory
• Dimension-changing exact solutions of string theory
• Semi-localized instability of the Kaluza-Klein linear dilaton vacuum
• The Fixed Points of RG Flow with a Tachyon