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Higher-dimensional Origin of D=3 Coset Symmetries

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arxiv hep-th/9909099 v1 pith:BRLOF33Z submitted 1999-09-14 hep-th

E. Cremmer , B. Julia , H. Lu , C.N. Pope This is my paper
classification hep-th
keywords cosetreductionspacesdimensionsgivesrisescalarbosonic
verification ladder T0 review T1 audit T2 compute T3 formal
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It is well known that the toroidal dimensional reduction of supergravities gives rise in three dimensions to theories whose bosonic sectors are described purely in terms of scalar degrees of freedom, which parameterise sigma-model coset spaces. For example, the reduction of eleven-dimensional supergravity gives rise to an E_8/SO(16) coset Lagrangian. In this paper, we dispense with the restrictions of supersymmetry, and study all the three-dimensional scalar sigma models G/H where G is a maximally-non-compact simple group, with H its maximal compact subgroup, and find the highest dimensions from which they can be obtained by Kaluza-Klein reduction. A magic triangle emerges with a duality between rank and dimension. Interesting also are the cases of Hermitean symmetric spaces and quaternionic spaces.

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Cited by 3 Pith papers

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  1. Wheeler-DeWitt wavefunctions for 5d BKL dynamics, automorphic L-functions and complex primon gases

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    Higher-derivative corrections explicitly break all hidden symmetry enhancements in the three-dimensional reductions of non-maximal supergravities.

  3. Demagnetizing KBR and New Ricci-flat Rotating Metric

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    Demagnetizing the KBR solution produces a new Ricci-flat rotating metric with deformation parameter B that preserves key Kerr thermodynamic relations despite non-asymptotically flat boundaries.

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