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

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Abstract

We revisit the backgrounds of type IIB on manifolds with $SU(4)$-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.
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cea-01310338 , version 1 (02-05-2016)

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Ruben Minasian, Daniël Prins. Mirror symmetry & supersymmetry on SU(4)-structure backgrounds. 2016. ⟨cea-01310338⟩
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