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Daniele Angelo Farotti

Postgraduate Research Student

Academic and research departments

Department of Mathematics.

My publications


D. Farotti, J. Gutowski (2022)Supersymmetry Enhancement of Heterotic Horizons, In: Classical and Quantum Gravity IOP Publishing

The supersymmetry of near-horizon geometries in heterotic supergravity is considered. A necessary and sufficient condition for a solution to preserve more than the minimal N = 2 supersymmetry is obtained. A supersymmetric near-horizon solution is constructed which is a U (1) fibration of AdS 3 over a particular Aloff-Wallach space. It is proven that this solution preserves the conditions required for N = 2 supersymmetry, but does not satisfy the necessary condition required for further supersymmetry enhancement. Hence, there exist supersymmetric near-horizon heterotic solutions preserving exactly N = 2 supersymmetry.

DANIELE ANGELO FAROTTI, JAN BERNARD GUTOWSKI (2021)N=4 Near-Horizon Geometries in D=11 Supergravity, In: Journal of High Energy Physics Springer Verlag

Extreme near-horizon geometries in D = 11 supergravity preserving four su-persymmetries are classified. It is shown that the Killing spinors fall into three possible orbits, corresponding to pairs of spinors defined on the spatial cross-sections of the horizon which have isotropy groups SU(3), G 2 , or SU(4). In each case, the conditions on the geometry and the 4-form flux are determined. The integrability conditions obtained from the Killing spinor equations are also investigated.