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New compactifications of ten and eleven dimensional supergravity on manifolds which are not direct products

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Abstract

Solutions of ten and eleven dimensional supergravity are presented for which the space-time metric is a product of an anti-de Sitter metric and a strictly positive scalar function of the internal coordinates. The critical point of the potential of seven dimensional maximal supergravity with SO(4) symmetry is identified with such a solution.

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Authors and Affiliations

  1. Institute for Theoretical Physics, State University of New York at Stony Brook, 11794, Stony Brook, Long Island, NY, USA

    P. van Nieuwenhuizen

  2. California Institute of Technology, 91125, Pasadena, CA, USA

    N. P. Warner

Authors
  1. P. van Nieuwenhuizen
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  2. N. P. Warner
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Additional information

Communicated by S. W. Hawking

Supported in part by NSF Grant PHY 8109110 A-03

Supported in part by the U.S. Department of Energy under Contract No. DE-AC-03-81ER40050, and by the Weingart Foundation

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van Nieuwenhuizen, P., Warner, N.P. New compactifications of ten and eleven dimensional supergravity on manifolds which are not direct products. Commun.Math. Phys. 99, 141–151 (1985). https://doi.org/10.1007/BF01466597

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  • DOI: https://doi.org/10.1007/BF01466597

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