Conformal symmetries for extremal black holes with general asymptotic scalars in STU supergravity

M. Cvetič (Department of Physics and Astronomy, and Department of Mathematics, University of Pennsylvania, Philadelphia, PA, 19104, USA; Center for Applied Mathematics and Theoretical Physics, University of Maribor, Maribor, SI2000, Slovenia) ; C. Pope (George P. & Cynthia Woods Mitchell Institute for Fundamental Physics and Astronomy, Texas A&M University, College Station, TX, 77843, USA; DAMTP, Centre for Mathematical Sciences, Cambridge University, Wilberforce Road, Cambridge, CB3 OWA, U.K.) ; A. Saha (George P. & Cynthia Woods Mitchell Institute for Fundamental Physics and Astronomy, Texas A&M University, College Station, TX, 77843, USA)

We present a construction of the most general BPS black holes of STU supergravity ( N $$ \mathcal{N} $$ = 2 supersymmetric D = 4 supergravity coupled to three vector super-multiplets) with arbitrary asymptotic values of the scalar fields. These solutions are obtained by acting with a subset of the global symmetry generators on STU BPS black holes with zero values of the asymptotic scalars, both in the U-duality and the heterotic frame. The solutions are parameterized by fourteen parameters: four electric and four magnetic charges, and the asymptotic values of the six scalar fields. We also present BPS black hole solutions of a consistently truncated STU supergravity, which are parameterized by two electric and two magnetic charges and two scalar fields. These latter solutions are significantly simplified, and are very suitable for further explicit studies. We also explore a conformal inversion symmetry of the Couch-Torrence type, which maps any member of the fourteen-parameter family of BPS black holes to another member of the family. Furthermore, these solutions are expected to be valuable in the studies of various swampland conjectures in the moduli space of string compactifications.

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  "abstracts": [
    {
      "source": "Springer", 
      "value": "We present a construction of the most general BPS black holes of STU supergravity (  <math> <mi>N</mi> </math>  $$ \\mathcal{N} $$  = 2 supersymmetric D = 4 supergravity coupled to three vector super-multiplets) with arbitrary asymptotic values of the scalar fields. These solutions are obtained by acting with a subset of the global symmetry generators on STU BPS black holes with zero values of the asymptotic scalars, both in the U-duality and the heterotic frame. The solutions are parameterized by fourteen parameters: four electric and four magnetic charges, and the asymptotic values of the six scalar fields. We also present BPS black hole solutions of a consistently truncated STU supergravity, which are parameterized by two electric and two magnetic charges and two scalar fields. These latter solutions are significantly simplified, and are very suitable for further explicit studies. We also explore a conformal inversion symmetry of the Couch-Torrence type, which maps any member of the fourteen-parameter family of BPS black holes to another member of the family. Furthermore, these solutions are expected to be valuable in the studies of various swampland conjectures in the moduli space of string compactifications."
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Published on:
28 September 2021
Publisher:
Springer
Published in:
Journal of High Energy Physics , Volume 2021 (2021)
Issue 9
Pages 1-45
DOI:
https://doi.org/10.1007/JHEP09(2021)188
arXiv:
2102.02826
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

Fulltext files: