English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We construct various examples of 1/4-BPS giant gravitons embedded into thetype 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 a4-cycle in $S^{3}_{+} \times S^{3}_{-}$ and the $S^{1}$. These D-branes aresupported by angular momenta $\alpha$ P on one 3-sphere and $(1-\alpha)$ P onthe other. We then construct a general class of 1/8-BPS D5-brane giantgravitons 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 issupersymmetry enhancement to 1/4-BPS in the special case $f(y_{1}z_{1}) = 0$ ofwhich our original D5-brane giant graviton is an example.

D1 and D5-brane giant gravitons on $AdS_3 \times S^3 \times S^3 \times S^1$