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The Road to Gravitational S-Duality

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Exact Solutions and Scalar Fields in Gravity

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Abstract

We overview the road to defining S-duality analogues for non-supersymmetric theories of gravity. The case of pure topological gravity in four dimensions, and, MacDowell-Mansouri gauge theory of gravity are discussed. Three-dimensional dimensional reductions from the topological gravitational sector in four dimensions, enable to recuperate the 2+1 Chern-Simons gravity and the corresponding S-dual theory, from the notion of self-duality in the four-dimensional theory.

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Author information

Authors and Affiliations

  1. Departamento de Física, Centro de Investigación y Estudios Avanzados del IPN, P.O. Box 14-740, 07000, México, D.F., México

    H. Garcia-Compeán

  2. Instituto de Física de la Universidad de Guanajuato, P.O. Box E-143, 37150, León Gto., México

    O. Obregón & M. Sabido

  3. Facultad de Ciencias Físico Matemáticas, Universidad Autónoma de Puebla, P.O. Box 1364, 72000, Puebla, México

    C. Ramirez

Authors
  1. H. Garcia-Compeán
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  2. O. Obregón
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  3. C. Ramirez
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  4. M. Sabido
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Editor information

Editors and Affiliations

  1. Universidad Autónoma Metropolitana-Itzapalapa, Mexico City, Mexico

    Alfredo Macias

  2. Institute Nacional de Investigaciones Nucleares, Mexico City, Mexico

    Jorge L. Cervantes-Cota

  3. University of Düsseldorf, Düsseldorf, Germany

    Claus Lämmerzahl

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© 2002 Kluwer Academic Publishers

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Garcia-Compeán, H., Obregón, O., Ramirez, C., Sabido, M. (2002). The Road to Gravitational S-Duality. In: Macias, A., Cervantes-Cota, J.L., Lämmerzahl, C. (eds) Exact Solutions and Scalar Fields in Gravity. Springer, Boston, MA. https://doi.org/10.1007/0-306-47115-9_11

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  • DOI: https://doi.org/10.1007/0-306-47115-9_11

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-0-306-46618-2

  • Online ISBN: 978-0-306-47115-5

  • eBook Packages: Springer Book Archive

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