Complex curves and non-perturbative effects in c=1 string theory

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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8 pages, Contribution to the proceedings of RTN Workshop, Kolymbari, Crete, Greece, 5-10 September 2004

Scientific paper

10.1002/prop.200410236

We investigate a complex curve in the $c=1$ string theory which provides a geometric interpretation for different kinds of D-branes. The curve is constructed for a theory perturbed by a tachyon potential using its matrix model formulation. The perturbation removes the degeneracy of the non-perturbed curve and allows to identify its singularities with ZZ branes. Also, using the constructed curve, we find non-perturbative corrections to the free energy and elucidate their CFT origin.

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