تقرير
D1 and D5-brane giant gravitons on $AdS_3 \times S^3 \times S^3 \times S^1$
| العنوان: | D1 and D5-brane giant gravitons on $AdS_3 \times S^3 \times S^3 \times S^1$ |
|---|---|
| المؤلفون: | Prinsloo, Andrea |
| المصدر: | JHEP 12 (2014) 094 |
| سنة النشر: | 2014 |
| المجموعة: | High Energy Physics - Theory |
| مصطلحات موضوعية: | High Energy Physics - Theory |
| الوصف: | We construct various examples of 1/4-BPS giant gravitons embedded into the type IIB supergravity background $AdS_{3} \times S^{3}_{+} \times S^{3}_{-} \times S^{1}$ with pure R-R flux: two D1-brane giants wrapping 1-cycles in $AdS_{3}$ and $S^{3}_{+} \times S^{3}_{-}$, and one D5-brane giant wrapping a 4-cycle in $S^{3}_{+} \times S^{3}_{-}$ and the $S^{1}$. These D-branes are supported by angular momenta $\alpha$ P on one 3-sphere and $(1-\alpha)$ P on the other. We then construct a general class of 1/8-BPS D5-brane giant gravitons wrapping 4-cycles $\Sigma$ in $S^{3}_{+} \times S^{3}_{-}$ and the $S^{1}$. Here $\Sigma$ is the intersection of a holomorphic surface $\mathcal{C}$ in $\mathbb{C}^{2}_{+} \times \mathbb{C}^{2}_{-}$ with the $S^{3}_{+} \times S^{3}_{-}$ 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 $\mathbb{C}^{2}_{\pm}$ complex coordinates. There is supersymmetry enhancement to 1/4-BPS in the special case $f(y_{1}z_{1}) = 0$ of which our original D5-brane giant graviton is an example. Comment: 30 pages, 4 figures. reference and figure added, minor changes |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1007/JHEP12(2014)094 |
| URL الوصول: | http://arxiv.org/abs/1406.6134 |
| رقم الأكسشن: | edsarx.1406.6134 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1007/JHEP12(2014)094 |
|---|