Self-dual generalized metrics for pure N=1 six-dimensional Supergravity

2015/05/12 by Garcia-Fernandez, M., Shahbazi, C. S.
#Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.1505.03088

Abstract

We geometrize six-dimensional pure N=1 Supergravity by means of an exact Courant algebroid, whose Severa class is defined through the Supergravity three-form H, equipped with a generalized metric and a compatible, torsion-free, generalized connection. The Supergravity equations of motion follow from the vanishing of the Ricci curvature of the generalized metric, satisfying a natural notion of self-duality. This way, we interpret the solutions of six-dimensional pure, N=1, Supergravity as generalized self-dual gravitational monopoles. For the D1-D5 black string solution, we explore the possibility of controlling space-time singularities by using B-field transformations.

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