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

Ruben Minasian (1, 2) , Daniël Prins (3, 2)

1 KIAS - Korea Institute for Advanced Study
2 IPHT - Institut de Physique Théorique - UMR CNRS 3681
3 Dipartimento di Fisica "Giuseppe Occhialini" = Department of Physics "Giuseppe Occhialini" [Milano-Bicocca]

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.

Domaines: Physique des Hautes Energies - Théorie [hep-th]

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