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arXiv · 1212.4364

On the sigma-model of deformed special geometry

Gabriel Lopes Cardoso·Alvaro Veliz-Osorio
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Abstract

We discuss the deformed sigma-model that arises when considering four-dimensional N=2 abelian vector multiplets in the presence of an arbitrary chiral background field. In addition, we allow for a class of deformations of special geometry by non-holomorphic terms. We analyze the geometry of the sigma-model in terms of intrinsic torsion classes. We show that, generically, the deformed geometry is non-Kahler. We illustrate our findings with an example. We also express the deformed sigma-model in terms of the Hesse potential that underlies the real formulation of special geometry.

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Gabriel Lopes Cardoso, Alvaro Veliz-Osorio. 2014-02-12. On the sigma-model of deformed special geometry. https://doi.org/10.1016/j.nuclphysb.2013.04.001

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