N=4 Near-Horizon Geometries in D=11 Supergravity
D. Farotti, J. Gutowski
TL;DR
This paper classifies four-supersymmetry near-horizon geometries in D=11 supergravity, identifying three spinor orbits and detailing the geometric and flux conditions for each case.
Contribution
It provides a comprehensive classification of near-horizon geometries with four supersymmetries in D=11 supergravity, including spinor orbit analysis and flux conditions.
Findings
Identifies three spinor orbit types: SU(3), G2, SU(4).
Derives geometric and flux conditions for each orbit.
Analyzes integrability conditions from Killing spinor equations.
Abstract
Extreme near-horizon geometries in D=11 supergravity preserving four supersymmetries 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), G2, 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.
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