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N=4 BPS black holes and octonionic twistors

Abstract : Stationary, spherically symmetric solutions of N=2 supergravity in 3+1 dimensions have been shown to correspond to holomorphic curves on the twistor space of the quaternionic-Kähler space which arises in the dimensional reduction along the time direction. In this note, we generalize this result to the case of 1/4-BPS black holes in N=4 supergravity, and show that they too can be lifted to holomorphic curves on a "twistor space" Z, obtained by fibering the Grassmannian F=SO(8)/U(4) over the moduli space in three-dimensions SO(8,n_v+2)/SO(8)xSO(n_v+2). This provides a kind of octonionic generalization of the standard constructions in quaternionic geometry, and may be useful for generalizing the known BPS black hole solutions, and finding new non-BPS extremal solutions.
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https://hal.archives-ouvertes.fr/hal-00292409
Contributor : Boris Pioline Connect in order to contact the contributor
Submitted on : Tuesday, July 1, 2008 - 2:08:00 PM
Last modification on : Wednesday, November 17, 2021 - 12:26:48 PM

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  • HAL Id : hal-00292409, version 1
  • ARXIV : 0806.4563

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Yann Michel, Boris Pioline, Clement Rousset. N=4 BPS black holes and octonionic twistors. Journal of High Energy Physics, Springer, 2008, 11, pp.068. ⟨hal-00292409⟩

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