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The Freudenthal gauge symmetry of the black holes of N = 2, d = 4 supergravity

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Abstract

We show that the representation of black-hole solutions in terms of the variables H M which are harmonic functions in the supersymmetric case is non-unique due to the existence of a local symmetry in the effective action. This symmetry is a continuous (and local) generalization of the discrete Freudenthal transformations initially introduced for the black-hole charges and can be used to rewrite the physical fields of a solution in terms of entirely different-looking functions.

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Authors and Affiliations

  1. Departament de Física Teòrica and IFIC (CSIC-UVEG), Universitat de València, C/ Dr. Moliner, 50, 46100, Burjassot, València, Spain

    Pietro Galli

  2. HEP Theory Group, Departamento de Física, Universidad de Oviedo, Avda. Calvo Sotelo s/n, 33007, Oviedo, Spain

    Patrick Meessen

  3. Instituto de Física Teórica UAM/CSIC, C/ Nicolás Cabrera, 13-15, C.U. Cantoblanco, 28049, Madrid, Spain

    Tomás Ortín

Authors
  1. Pietro Galli
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  2. Patrick Meessen
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  3. Tomás Ortín
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Correspondence to Tomás Ortín.

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ArXiv ePrint: 1211.7296

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Galli, P., Meessen, P. & Ortín, T. The Freudenthal gauge symmetry of the black holes of N = 2, d = 4 supergravity. J. High Energ. Phys. 2013, 11 (2013). https://doi.org/10.1007/JHEP05(2013)011

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