c=1 String as the Topological Theory of the Conifold

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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10 pages

Scientific paper

10.1016/0550-3213(95)00408-K

We show that the non-critical $c=1$ string at the self-dual radius is equivalent to topological strings based on the deformation of the conifold singularity of Calabi-Yau threefolds. The Penner sum giving the genus expansion of the free energy of the $c=1$ string theory at the self-dual radius therefore gives the universal behaviour of the topological partition function of a Calabi-Yau threefold near a conifold point.

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