R-R scalars, U-duality and solvable Lie algebras

1996/11/30 by L. Andrianopoli, R. D'Auria, S. Ferrara +2 · 4 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Homotopy and Cohomology in Algebraic Topology #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.1016/s0550-3213(97)00220-4

published as Nucl.Phys. B496 (1997) 617-629 · 17 pages, misprints in Table 2 corrected

arxiv created 1997/06/27 · openalex publication_date 1997/07/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We consider the group theoretical properties of R--R scalars of string theories in the low-energy supergravity limit and relate them to the solvable Lie subalgebra \IG_s⊂ U of the U--duality algebra that generates the scalar manifold of the theory: exp[\IG_s]= U/H. Peccei-Quinn symmetries are naturally related with the maximal abelian ideal \cal A ⊂ \IG_s of the solvable Lie algebra. The solvable algebras of maximal rank occurring in maximal supergravities in diverse dimensions are described in some detail. A particular example of a solvable Lie algebra is a rank one, 2(h_2,1+2)--dimensional algebra displayed by the classical quaternionic spaces that are obtained via c-map from the special Kählerian moduli spaces of Calabi-Yau threefolds.

Citations

• Weyl group invariance and p-brane multiplets
• Symmetry structure of special geometries
• Strong-weak coupling duality in three dimensional string theory

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