2007/12/31 by G. Papadopoulos · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Gravitino #Heterotic string theory #Holonomy #Homogeneous space #Killing spinor #Mathematical physics #Noncommutative and Quantum Gravity Theories #Nonlinear Waves and Solitons #Physics #Spinor #String (physics) #Supergravity #Supersymmetry #Symmetry (geometry) #Type (biology) #hep-th
paper · pdf · doi:10.1088/0264-9381/25/10/105016
published as Class.Quant.Grav.25:105016,2008 · 10 pages, minor changes
arxiv created 2008/04/28 · openalex publication_date 2008/05/07 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We solve the Killing-Yano equation on manifolds with a G-structure for G=SO(n), U(n), SU(n), Sp(n)⋅ Sp(1), Sp(n), G2 and Spin(7). Solutions include nearly-Kähler, weak holonomy G2, balanced SU(n) and holonomy G manifolds. As an application, we find that particle probes on AdS4× X compactifications of type IIA and 11-dimensional supergravity admit a \cal W-type of symmetry generated by the fundamental forms. We also explore the \cal W-symmetries of string and particle actions in heterotic and common sector supersymmetric backgrounds. In the heterotic case, the generators of the \cal W-symmetries completely characterize the solutions of the gravitino Killing spinor equation, and the structure constants of the \cal W-symmetry algebra depend on the solution of the dilatino Killing spinor equation.