Time-dependent backgrounds of 2D string theory: Non-perturbative effects

Details Time-dependent backgrounds of 2D string theory: Non-perturbative effects Time-dependent backgrounds of 2D string theory: Non-perturbative effects

2004-12-20

arxiv.org/abs/hep-th/0412223v1

JHEP0502:023,2005

Physics

High Energy Physics

High Energy Physics - Theory

37 pages, 2 figures

Scientific paper

10.1088/1126-6708/2005/02/023

We study the non-perturbative corrections (NPC) to the partition function of a compactified 2D string theory in a time-dependent background generated by a tachyon source. The sine-Liouville deformation of the theory is a particular case of such a background. We calculate the leading as well as the subleading NPC using the dual description of the string theory as matrix quantum mechanics. As in the minimal string theories, the NPC are classified by the double points of a complex curve. We calculate them by two different methods: by solving Toda equation and by evaluating the quasiclassical fermion wave functions. We show that the result can be expressed in terms of correlation functions of the bosonic field associated with the tachyon source and identify the leading and the subleading corrections as the contributions from the one-point (disk) and two-point (annulus) correlation functions.

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