On the Genus Expansion in the Topological String Theory

Details On the Genus Expansion in the Topological String Theory On the Genus Expansion in the Topological String Theory

1994-05-17

arxiv.org/abs/hep-th/9405106v1

Rev.Math.Phys. 7 (1995) 279-310

Physics

High Energy Physics

High Energy Physics - Theory

36 pages, phyzzx, UTHEP-275

Scientific paper

A systematic formulation of the higher genus expansion in topological string theory is considered. We also develop a simple way of evaluating genus zero correlation functions. At higher genera we derive some interesting formulas for the free energy in the $A_1$ and $A_2$ models. We present some evidence that topological minimal models associated with Lie algebras other than the A-D-E type do not have a consistent higher genus expansion beyond genus one. We also present some new results on the $CP^1$ model at higher genera.

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