Generalized geometry of two-dimensional vacua

We derive the conditions for unbroken supersymmetry for a Mink2, (2, 0) vacuum, arising from Type II supergravity on a compact eight-dimensional manifold M8. When specialized to internal manifolds enjoying SU(4) × SU(4) structure the resulting system is elegantly rewritten in terms of generalized complex geometry. This particular class of vacua violates the correspondence between supersymmetry conditions and calibrations conditions of D branes (supersymmetry-calibrations correspondence). Our analysis includes and extends previous results about the failure of the supersymmetry-calibrations correspondence, and confirms the existence of a precise relation between such a failure and a subset of the supersymmetry conditions. © 2014 The Author(s).