2,457 research outputs found

    D1 and D5-brane giant gravitons on AdS3×S3×S3×S1AdS_3 \times S^3 \times S^3 \times S^1

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    We construct various examples of 1/4-BPS giant gravitons embedded into the type IIB supergravity background AdS3×S+3×S−3×S1AdS_{3} \times S^{3}_{+} \times S^{3}_{-} \times S^{1} with pure R-R flux: two D1-brane giants wrapping 1-cycles in AdS3AdS_{3} and S+3×S−3S^{3}_{+} \times S^{3}_{-}, and one D5-brane giant wrapping a 4-cycle in S+3×S−3S^{3}_{+} \times S^{3}_{-} and the S1S^{1}. These D-branes are supported by angular momenta α\alpha P on one 3-sphere and (1−α)(1-\alpha) P on the other. We then construct a general class of 1/8-BPS D5-brane giant gravitons wrapping 4-cycles Σ\Sigma in S+3×S−3S^{3}_{+} \times S^{3}_{-} and the S1S^{1}. Here Σ\Sigma is the intersection of a holomorphic surface C\mathcal{C} in C+2×C−2\mathbb{C}^{2}_{+} \times \mathbb{C}^{2}_{-} with the S+3×S−3S^{3}_{+} \times S^{3}_{-} submanifold. The holomorphic surface C\mathcal{C} is defined by f(y1z1,y1z2,y2z1,y2z2)=0f(y_{1}z_{1},y_{1}z_{2},y_{2}z_{1},y_{2}z_{2}) = 0, with yay_{a} and zaz_{a} the C±2\mathbb{C}^{2}_{\pm} complex coordinates. There is supersymmetry enhancement to 1/4-BPS in the special case f(y1z1)=0f(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 change

    Integrable open spin-chains in AdS3/CFT2 correspondences

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    We study integrable open boundary conditions for d(2,1;\alpha)^2 and psu(1,1|2)^2 spin-chains. Magnon excitations of these open spin-chains are mapped to massive excitations of type IIB open superstrings ending on D-branes in the AdS_3 x S^3 x S^3 x S^1 and AdS_3 x S^3 x T^4 supergravity geometries with pure R-R flux. We derive reflection matrix solutions of the boundary Yang-Baxter equation which intertwine representations of a variety of boundary coideal subalgebras of the bulk Hopf superalgebra. Many of these integrable boundaries are matched to D1- and D5-brane maximal giant gravitons.Comment: v1: 61 pages, 6 figures; v2: minor changes and reference added; v3: minor changes, 60 pages, version accepted to journa

    In the eye of the storm: preliminary evidence on the use of online learning diaries

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    The surprising lack of pressure and speed in the centre of the vortex of a storm are in stark contrast to the force and destruction often experienced at its periphery. Many spectators watching a developing storm will be caught between fear and a desire to escape. The metaphor of a storm has been applied here to the emotions experienced by many students enrolling in online learning courses. Not only do the requirements of studying online collide with personal and professional commitments, the experience of learning online (often in groups) results in many students feeling displaced, scared or out of control. Learning diaries, especially in an online environment, present students with an opportunity to reach the centre of the vortex, though this may not be as quiet and safe as we may have presumed. This paper reports on students’ reflections in their learning diaries as a prescriptive part of the Professional Certificate in Management offered by the Open University. The research focused on the unstructured learning diary entries of 12 students from one tutor group over an 18 day period of a short compulsory online course. This phenomenographic study used grounded theory as methodology to analyse and describe students’ use of their learning diaries. The research found ample evidence that online learning diaries provide students with a safe space to reflect on the vortex around them. Without a quiet and reflective centre, students may be overwhelmed by the wider forces impacting on them. Students’ postings provided rich descriptions of the vortex of studying online and the function of having a centre to which to withdraw. There is, however, also evidence that posting reflections in learning diaries can itself be a dislocating and uncomfortable experience for some learners, while others question its usefulness. The work provides practical and useful information for managers of online learning experiences, instructional designers and curriculum developer

    A giant graviton genealogy

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    In this article we extend the construction of giant gravitons from holomorphic surfaces [arXiv:hep-th/0010206] to the ABJM correspondence. We construct a new class of 1/6-BPS M5-branes wrapping 5-manifolds in S^7/Z_k and supported by a large angular momentum in the orbifold space. These orbifold giant gravitons undergo a supersymmetry enhancement to 1/3-BPS and 1/2-BPS configurations in special cases. The compactification of M-theory on AdS_4 x S^7/Z_k to type IIA superstring theory on AdS_4 x CP^3 then gives rise to another new class of 1/6-BPS D4 and NS5-branes wrapping 4 and 5-manifolds in CP^3. The D4-branes carry a combination of D0-brane charge and angular momentum in the complex projective space, while the NS5-branes are supported only by D0-brane charge. Finally, we present a detailed analysis of a one-parameter family of 1/2-BPS M5-brane orbifold giant gravitons, and their D4 and NS5-brane CP^3 descendants.Comment: 34 pages; 1 figure; minor revisions; references adde
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