1/16-BPS black holes and giant gravitons in the AdS<sub>5</sub> × S<sup>5</sup> Space
Seok Kim; Ki-Myeong Lee; Seok Kim; School of Physics, Korea Institute for Advanced Study, Seoul 130-722, Korea; Ki-Myeong Lee; School of Physics, Korea Institute for Advanced Study, Seoul 130-722, Korea
Журнал:
Journal of High Energy Physics
Дата:
2006-12-01
Аннотация:
We explore 1/16-BPS objects of type IIB string theory in AdS<sub>5</sub> × S<sup>5</sup>. First, we consider supersymmetric AdS<sub>5</sub> black holes, which should be 1/16-BPS and have a characteristic that not all physical charges are independent. We point out that the Bekenstein-Hawking entropy of these black holes admits a remarkably simple expression in terms of (dependent) physical charges, which suggests its microscopic origin via certain Cardy or Hardy-Ramanujan formula. We also note that there is an upper bound for the angular momenta given by the electric charges. Second, we construct a class of 1/16-BPS giant graviton solutions in AdS<sub>5</sub> × S<sup>5</sup> and explore their properties. The solutions are given by the intersections of AdS<sub>5</sub> × S<sup>5</sup> and complex 3 dimensional holomorphic hyperspaces in <sup>1+5</sup>, the latter being the zero loci of three holomorphic functions which are homogeneous with suitable weights on coordinates. We investigate examples of giant gravitons, including their degenerations to tensionless strings.
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