M-Horizons

Abstract

We solve the Killing spinor equations and determine the near horizon geometries of M-theory that preserve at least one supersymmetry. The M-horizon spatial sections are 9-dimensional manifolds with a Spin(7) structure restricted by geometric constraints which we give explicitly. We also provide an alternative characterization of the solutions of the Killing spinor equation, utilizing the compactness of the horizon section and the field equations, by proving a Lichnerowicz type of theorem which implies that the zero modes of a Dirac operator coupled to 4-form fluxes are Killing spinors. We use this, and the maximum principle, to solve the field equations of the theory for some special cases and present some examples.

36 pages, latex. Reference added, minor typos corrected

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Cited by in corpus (8)

• Classification of near-horizon geometries of extremal black holes
• Supersymmetry of AdS and flat backgrounds in M-theory
• Index theory and dynamical symmetry enhancement of M-horizons
• Index Theory and Supersymmetry of 5D Horizons
• AdS4 black holes from M-theory
• IIB horizons
• N=4 Near-Horizon Geometries in D=11 Supergravity
• Spinorial geometry, horizons and superconformal symmetry in six dimensions