New non-supersymmetric flux vacua from generalised calibrations

Abstract: We construct a new class of non-supersymmetric ten-dimensional type II flux vacua, by studying first order differential equations which are deformations of the N=1 supersymmetry conditions. We do so within the context of Generalised Complex Geometry, where there is a natural interpretation of the N = 1 supersymmetry conditions in terms of calibration conditions for probe D-branes, called D-string, domain-wall or space-filling branes, depending on them wrapping 2, 3 or 4 non-compact dimensions. We focus on a subclass of non-supersymmetric vacua violating the D-string calibration condition, where the deformation of the calibration condition is dictated by the foliated geometry of the internal space. We present the explicit construction of an example SU(3) background.

cosmology and nongalactic astrophysicsgeneral relativity and quantum cosmologyHEP - phenomenologyHEP - theorymathematical physics

Audience: researchers in the discipline

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