String Equation for String Theory on a Circle

Details String Equation for String Theory on a Circle String Equation for String Theory on a Circle

2001-07-28

arxiv.org/abs/hep-th/0107247v4

Nucl.Phys. B624 (2002) 146-162

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, 1 figure, slight changes in the text and many typos corrected

Scientific paper

10.1016/S0550-3213(01)00650-2

We derive a constraint (string equation) which together with the Toda Lattice hierarchy determines completely the integrable structure of the compactified 2D string theory. The form of the constraint depends on a continuous parameter, the compactification radius R. We show how to use the string equation to calculate the free energy and the correlation functions in the dispersionless limit. We sketch the phase diagram and the flow structure and point out that there are two UV critical points, one of which (the sine-Liouville string theory) describes infinitely strong vortex or tachyon perturbation.

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