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arXiv · 1210.4312

On recursion relations in topological string theory

Andrea Prudenziati
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Abstract

We discuss a link between the topological recursion relations derived algebraically by Witten and the holomorphic anomaly equation of Bershadsky, Cecotti, Ooguri and Vafa. This is obtained through the definition of an operator ${\cal{W}}_s$ that reproduces the recursion relations for topological string theory coupled to worldsheet gravity a la BCOV. This operator is contained inside an algebra that generalizes the tt* equations and whose direct consequence is the holomorphic anomaly equation itself.

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Andrea Prudenziati. 2013-01-22. On recursion relations in topological string theory. https://doi.org/10.1007/jhep02(2013)135

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