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Mirror symmetry & supersymmetry on SU(4)-structure backgrounds

High Energy Physics - Theory 2016-05-25 v1 Differential Geometry

Abstract

We revisit the backgrounds of type IIB on manifolds with SU(4)SU(4)-structure and discuss two sets of solutions arising from internal geometries that are complex and symplectic respectively. Both can be realized in terms of generalized complex geometry. We identify a map which relates the complex and symplectic supersymmetric systems. In the semi-flat torus bundle setting this map corresponds to T-duality and suggest a way of extending the mirror transform to non-K\"ahler geometries.

Keywords

Cite

@article{arxiv.1601.03023,
  title  = {Mirror symmetry & supersymmetry on SU(4)-structure backgrounds},
  author = {Ruben Minasian and Daniël Prins},
  journal= {arXiv preprint arXiv:1601.03023},
  year   = {2016}
}

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40 pages