Abstract
We construct various examples of \( \frac{1}{4} \)-BPS giant gravitons embedded into the type IIB supergravity background AdS 3 × S 3+ × S 3− × S 1 with pure R-R flux: two D1-brane giants wrapping 1-cycles in AdS 3 and S 3+ × S 3− , and one D5-brane giant wrapping a 4-cycle in S 3+ × S 3− and the S 1. These D-branes are supported by angular momenta α P on one 3-sphere and (1 − α) P on the other. We then construct a general class of \( \frac{1}{8} \)-BPS D5-brane giant gravitons wrapping 4-cycles Σ in S 3+ × S 3− and the S 1. Here Σ is the intersection of a holomorphic surface \( \mathcal{C} \) in ℂ 2+ × ℂ 2− with the S 3+ × S 3− submanifold. The holomorphic surface \( \mathcal{C} \) is defined by f(y 1 z 1, y 1 z 2, y 2 z 1, y 2 z 2) = 0, with y a and z a the ℂ 2± complex coordinates. There is supersymmetry enhancement to \( \frac{1}{4} \)-BPS in the special case f(y 1 z 1) = 0 of which our original D5-brane giant graviton is an example.
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Prinsloo, A. D1 and D5-brane giant gravitons on AdS 3 × S 3 × S 3 × S 1 . J. High Energ. Phys. 2014, 94 (2014). https://doi.org/10.1007/JHEP12(2014)094
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DOI: https://doi.org/10.1007/JHEP12(2014)094