Abstract

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.

Highlights

  • 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 gives the universal behaviour of the topological partition function of a Calabi-Yau threefold near a conifold point

  • In this paper we will demonstrate a further generalization of this universality by arguing that the c = 1 string theory at the self-dual radius is equivalent to the topological theory corresponding to the deformation near a conifold

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Summary

Introduction

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 gives the universal behaviour of the topological partition function of a Calabi-Yau threefold near a conifold point.

Results
Conclusion

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