Abstract
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.
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Rosa, D. Generalized geometry of two-dimensional vacua. J. High Energ. Phys. 2014, 111 (2014). https://doi.org/10.1007/JHEP07(2014)111
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DOI: https://doi.org/10.1007/JHEP07(2014)111