Branes in AdS and pp-wave spacetimes

Wrapping a D(8-p)-brane on AdS_2 times a submanifold of S^{8-p} introduces point-like defects in the context of AdS/CFT correspondence for a Dp-brane background. We classify and work out the details in all possible cases with a single embedding angular coordinate. Brane embeddings of the temperature and beta-deformed near horizon D3-brane backgrounds are also examined. We comment on the relevance of our results to holographic lattices and dimers.

We find the most general supergravity solution in an $AdS^3 \times S^3$ background preserving an $AdS_2 \times S^2$ symmetry and half the supersymmetries. Contrary to previous expectations from boundary state arguments, it is shown that no solutions exist containing localized brane sources.

We derive boundary conditions for the covariant open string corresponding to D-branes in an Hpp-wave, by requiring kappa symmetry of its bulk action. Both half-supersymmetric and quarter-supersymmetric branes are seen to arise in this way, and the analysis furthermore agrees fully with the existing probe brane and supergravity computations. We elaborate on the origin of dynamical and kinematical supersymmetries from the covariant point of view. In particular we focus on the D...

We briefly review a covariant analysis of D-branes of type IIB superstring on the AdS_5xS^5 background from the \kappa-invariance of the Green-Schwarz string action. The possible configurations of D-branes preserving half of supersymmetries are classified in both cases of AdS_5xS^5 and the pp-wave background.

We construct dual supergravity descriptions of D3-branes wrapping associative 3-cycles $L$. We analyse the conditions for having five-dimensional background solutions of the form $AdS_2 \times L$ and show that they require $L$ to be of constant negative curvature type. This provides $AdS_2$ background solutions when $L$ is the hyperbolic space $H^3$ or its quotients by subgroups of its isometry group. We construct a regular numerical solution interpolating between $AdS_5$ in ...

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 con...

We elucidate the relationship between supersymmetric D3-branes and chiral baryonic operators in the AdS/CFT correspondence. For supersymmetric backgrounds of the form AdS_5 x H, we characterize via holomorphy a large family of supersymmetric D3-brane probes wrapped on H. We then quantize this classical family of probe solutions to obtain a BPS spectrum which describes D3-brane configurations on H. For the particular examples H = T^{1,1} and H = S^5, we match the BPS spectrum ...

We derive the BPS equations for D3-branes embedded in AdS_5 X S^5 that preserve at least two supercharges. These are given in terms of conditions on the pullbacks of some space-time differential four-forms. Solutions to our equations are shown to describe all the known giant and dual-giant gravitons in AdS_5 X S^5. We then argue that the configuration spaces of dual-giants can be mapped to non-compact hyperbolic versions of complex projective spaces, in contrast with the gian...

Recently it was suggested that a graviton in $AdS_5 \times S^5$ with a large momentum along the sphere can blow up into a spherical D-brane in $S^5$. In this paper we show that the same graviton can also blow up into a spherical D-brane in $AdS_5$ with exactly the same quantum numbers (angular momentum and energy). These branes are BPS, preserving 16 of the 32 supersymmetries. We show that there is a BPS {\it classical} solution for SYM on $S^3\times R$ with exactly the same ...

We find explicit supergravity solutions which describe branes in the AdS_3 x S^3 background. These solutions preserve 8 of the 16 supersymmetries of this background, and are consistent with kappa-symmetry. These represent new 1/2-BPS states of string theory.