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Complex curves and non-perturbative effects in c=1 string theory
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abstract
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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$c=1$, $R=1$ and $N\gg 1$: ZZ instantons in 2D String Theory and Matrix Integrals
At self-dual radius, ZZ instanton normalizations from worldsheet string theory match the matrix model trans-series, with SU(2) boundary condition zero modes playing the key role.
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