Bubbling AdS and droplet descriptions of BPS geometries in IIB supergravity
dc.contributor.author | Chen, Bin | en_US |
dc.contributor.author | Cremonini, Sera | en_US |
dc.contributor.author | Lin, Hai | en_US |
dc.contributor.author | Vaman, Diana | en_US |
dc.contributor.author | Liu, James T. | en_US |
dc.contributor.author | Donos, Aristomenis | en_US |
dc.contributor.author | Lin, Feng-Li | en_US |
dc.contributor.author | Wen, Wen-Yu | en_US |
dc.date.accessioned | 2008-04-02T14:48:08Z | |
dc.date.available | 2008-04-02T14:48:08Z | |
dc.date.issued | 2007-10-01 | en_US |
dc.identifier.citation | Chen, Bin; Cremonini, Sera; Lin, Hai; Vaman, Diana; Liu, James T.; Donos, Aristomenis; Lin, Feng-Li; Wen, Wen-Yu (2007). " Bubbling AdS and droplet descriptions of BPS geometries in IIB supergravity." Journal of High Energy Physics. 10(003). <http://hdl.handle.net/2027.42/58164> | en_US |
dc.identifier.issn | 1126-6708 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/58164 | |
dc.description.abstract | This 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 S3, then S3 × S1, and finally on S3 × S1 × CP1. 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 S3). The 1/8 BPS geometries, which have an S3 isometry and are time-fibered over a six-dimensional base, are determined by solving a non-linear equation for the Kähler metric on the base. Similarly, the 1/4 BPS configurations have an S3 × S1 isometry and a four-dimensional base, whose Kähler metric obeys another non-linear, Monge-Ampère 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 S3 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 × S5 ground state corresponds to excising the interior of an S5, while the 1/8 BPS excitations correspond to deformations (including topology change) of the S5 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 S3 shrinks to zero size from those where the S1 shrinks. We discuss a large class of examples to show the emergence of a universal bubbling AdS picture for all 1/2, 1/4 and 1/8 BPS geometries. | en_US |
dc.format.extent | 3118 bytes | |
dc.format.extent | 1086850 bytes | |
dc.format.mimetype | text/plain | |
dc.format.mimetype | application/pdf | |
dc.publisher | IOP Publishing Ltd | en_US |
dc.title | Bubbling AdS and droplet descriptions of BPS geometries in IIB supergravity | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Physics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Michigan Center for Theoretical Physics, Randall Laboratory of Physics, The University of Michigan, Ann Arbor, MI 48109–1040, U.S.A. | en_US |
dc.contributor.affiliationum | Michigan Center for Theoretical Physics, Randall Laboratory of Physics, The University of Michigan, Ann Arbor, MI 48109–1040, U.S.A. | en_US |
dc.contributor.affiliationum | Michigan Center for Theoretical Physics, Randall Laboratory of Physics, The University of Michigan, Ann Arbor, MI 48109–1040, U.S.A. | en_US |
dc.contributor.affiliationum | Michigan Center for Theoretical Physics, Randall Laboratory of Physics, The University of Michigan, Ann Arbor, MI 48109–1040, U.S.A.; George P. & Cynthia W. Mitchell Institute for Fundamental Physics, Texas A&M University, College Station, TX 77843–4242, U.S.A. | en_US |
dc.contributor.affiliationother | School of Physics, Peking University, Beijing 100871, P.R. China | en_US |
dc.contributor.affiliationother | Physics Department, Brown University, Providence, RI 02912, U.S.A. | en_US |
dc.contributor.affiliationother | Department of Physics, National Taiwan Normal University, Taipei City, 116, Taiwan | en_US |
dc.contributor.affiliationother | Department of Physics and Center for Theoretical Sciences, National Taiwan University, Taipei 106, Taiwan | en_US |
dc.contributor.affiliationumcampus | Ann Arbor | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/58164/2/jhep102007003.pdf | |
dc.identifier.doi | http://dx.doi.org/10.1088/1126-6708/2007/10/003 | en_US |
dc.identifier.source | Journal of High Energy Physics. | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
Files in this item
Remediation of Harmful Language
The University of Michigan Library aims to describe library materials in a way that respects the people and communities who create, use, and are represented in our collections. Report harmful or offensive language in catalog records, finding aids, or elsewhere in our collections anonymously through our metadata feedback form. More information at Remediation of Harmful Language.
Accessibility
If you are unable to use this file in its current format, please select the Contact Us link and we can modify it to make it more accessible to you.