Hessian geometry and the holomorphic anomaly

Gabriel Lopes Cardoso; Thomas Mohaupt

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arXiv · 1511.06658

Hessian geometry and the holomorphic anomaly

Gabriel Lopes Cardoso·Thomas Mohaupt

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Abstract

We present a geometrical framework which incorporates higher derivative corrections to the action of N = 2 vector multiplets in terms of an enlarged scalar manifold which includes a complex deformation parameter. This enlarged space carries a deformed version of special Kahler geometry which we characterise. The holomorphic anomaly equation arises in this framework from the integrability condition for the existence of a Hesse potential.

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Gabriel Lopes Cardoso, Thomas Mohaupt. 2016-02-24. Hessian geometry and the holomorphic anomaly. https://arxiv.org/abs/1511.06658

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