1996/12/19 by L. Andrianopoli, Laura Andrianopoli, R. D'Auria +8 · 1 citation
Mathematics · Physics and Astronomy · #Abelian group #Algebra over a field #Black Holes and Theoretical Physics #Dynkin diagram #Gauged supergravity #Homogeneous space #Homotopy and Cohomology in Algebraic Topology #Lie algebra #Mathematical physics #Mathematics #Nilpotent #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Scalar (mathematics) #Supergravity #Supersymmetry #Type (biology) #hep-th
paper · pdf · doi:10.1016/s0550-3213(97)00136-3
published as Nucl.Phys.B493:249-280,1997 · 31 pages, 1 Tex, 4 eps-figures
arxiv created 1996/12/19 · openalex publication_date 1997/05/01 · arxiv updated 2010/11/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study some applications of solvable Lie algebras in type IIA, type IIB and M theories. RR and NS generators find a natural geometric interpretation in this framework. Special emphasis is given to the counting of the abelian nilpotent ideals (translational symmetries of the scalar manifolds) in arbitrary D dimensions. These are seen to be related, using Dynkin diagram techniques, to one-form counting in D+1 dimensions. A recipy for gauging isometries in this framework is also presented. In particular, we list the gauge groups both for compact and translational isometries. The former agree with some results already existing in gauged supergravity. The latter should be possibly related to the study of partial supersymmetry breaking, as suggested by a similar role played by solvable Lie algebras in N=2 gauged supergravity.