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 Kähler 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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ArXiv ePrint: 1511.06658
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Cardoso, G., Mohaupt, T. Hessian geometry and the holomorphic anomaly. J. High Energ. Phys. 2016, 161 (2016). https://doi.org/10.1007/JHEP02(2016)161
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DOI: https://doi.org/10.1007/JHEP02(2016)161