Index theory and supersymmetry of 5D horizons

@article{Grover2013IndexTA,
  title={Index theory and supersymmetry of 5D horizons},
  author={Jarrett Grover and J. Gutowski and George Papadopoulos and W. A. Sabra},
  journal={Journal of High Energy Physics},
  year={2013},
  volume={2014},
  pages={1-24}
}
  • Jarrett Grover, J. Gutowski, +1 author W. A. Sabra
  • Published 2013
  • Computer Science, Physics
  • Journal of High Energy Physics
  • A bstractWe prove that the near-horizon geometries of minimal gauged five-dimensional supergravity preserve at least half of the supersymmetry. If the near-horizon geometries preserve a larger fraction, then they are locally isometric to AdS5. Our proof is based on Lichnerowicz type theorems for two horizon Dirac operators constructed from the supercovariant connection restricted to the horizon sections, and on an application of the index theorem. An application is that all half-supersymmetric… CONTINUE READING

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