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

Sergei Yu. Alexandrov1 and Ivan K. Kostov2,3

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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.


Keywords

Matrix Models

D-branes

Bosonic Strings

PACS

11.25.Sq Nonperturbative techniques; string field theory

11.25.Yb M theory

14.80.-j Other particles (including hypothetical)

Subjects

Particle physics and field theory

Dates

Issue 02 (February 2005)

Received 21 December 2004, accepted for publication 9 February 2005

Published 11 March 2005



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    Sergei Yu. Alexandrov and Ivan K. Kostov JHEP02(2005)023

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