Bubbling AdS and droplet descriptions of BPS geometries in IIB supergravity

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dc.creatorChen, Bin
dc.creatorCremonini, Sera
dc.creatorDonos, Aristomenis
dc.creatorLin, Feng-Li
dc.creatorLin, Hai
dc.creatorLiu, James T.
dc.creatorVaman, Diana
dc.creatorWen, Wen-Yu
dc.date2007-04-17
dc.date2007-08-29
dc.date.accessioned2026-07-07T11:56:37Z
dc.date.available2026-07-07T11:56:37Z
dc.descriptionThis paper focuses on supergravity duals of BPS states in N=4 super Yang-Mills. In order to describe these duals, we begin with a sequence of breathing mode reductions of IIB supergravity: first on S^3, then S^3 x S^1, and finally on S^3 x S^1 x CP^1. We then follow with a complete supersymmetry analysis, yielding 1/8, 1/4 and 1/2 BPS configurations, respectively (where in the last step we take the Hopf fibration of S^3). The 1/8 BPS geometries, which have an S^3 isometry and are time-fibered over a six-dimensional base, are determined by solving a non-linear equation for the Kahler metric on the base. Similarly, the 1/4 BPS configurations have an S^3 x S^1 isometry and a four-dimensional base, whose Kahler metric obeys another non-linear, Monge-Ampere type equation. Despite the non-linearity of the problem, we develop a universal bubbling AdS description of these geometries by focusing on the boundary conditions which ensure their regularity. In the 1/8 BPS case, we find that the S^3 cycle shrinks to zero size on a five-dimensional locus inside the six-dimensional base. Enforcing regularity of the full solution requires that the interior of a smooth, generally disconnected five-dimensional surface be removed from the base. The AdS_5 x S^5 ground state corresponds to excising the interior of an S^5, while the 1/8 BPS excitations correspond to deformations (including topology change) of the S^5 and/or the excision of additional droplets from the base. In the case of 1/4 BPS configurations, by enforcing regularity conditions, we identify three-dimensional surfaces inside the four-dimensional base which separate the regions where the S^3 shrinks to zero size from those where the S^1 shrinks.
dc.description94 pages, 6 figures, latex, typos corrected, references added, one new Appendix
dc.identifierhttps://arxiv.org/abs/0704.2233
dc.identifierhttp://arxiv.org/abs/0704.2233
dc.identifierJHEP0710:003,2007
dc.identifierdoi:10.1088/1126-6708/2007/10/003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/205597
dc.subjectHigh Energy Physics - Theory
dc.titleBubbling AdS and droplet descriptions of BPS geometries in IIB supergravity
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