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BPS Black Holes and U-duality

  1. Jan 7, 2006 #1
    Greetings Everyone!

    An interesting line of research that has recently surfaced in the stringy/sugra community is the counting of microstates of spherically symmetric BPS black holes in four-dimensional N ≥ 2 supergravity theories. The excitement stems from the indication that the U-duality groups (e.g. E6(6)(Z), E7(7)(Z), E8(8)(Z)) of certain "very special supergravities" may be spectrum generating symmetries for BPS black holes.

    Here's a quote from the Dec 22 paper BPS black holes, quantum attractor flows and automorphic forms by Murat Gunaydin, Andrew Neitzke, et al:
    Essentially the symmetric spaces receiving attention are those spaces generated by projective elements of exceptional Jordan algebras. One recovers the U-duality groups from the isometry, collineation, conformal, and quasiconformal groups of these spaces. Since the Jordan algebras are defined over the octonions and split-octonions, such symmetric spaces are inherently self-dual matrix spaces. I have discussed such matrix spaces with selfAdjoint on many occasions, and I am delighted the physics is now related to extremal black holes. :smile:

    It is not yet clear if such results have a "stringy interpretation", but the implications are nonetheless exciting. For further background, read M. Gunaydin's Generalized spacetimes defined by cubic forms and the minimal unitary realizations of their quasiconformal groups and view/listen to the lectures given at the KITP site Mathematical Structures in String Theory (Aug 1 - Dec 16, 2005)
    by Dr. Boris Pioline and Murat Gunaydin.

  2. jcsd
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