Ricci-Flat Metrics, Harmonic Forms and Brane Resolutions
dc.contributor.author | Pope, Christopher N. | en_US |
dc.contributor.author | Gibbons, G. W. | en_US |
dc.contributor.author | Lü, Hong | en_US |
dc.contributor.author | Cvetič, Mirjam | en_US |
dc.date.accessioned | 2006-09-08T19:52:15Z | |
dc.date.available | 2006-09-08T19:52:15Z | |
dc.date.issued | 2003-01 | en_US |
dc.identifier.citation | Cvetič, M.; Gibbons, G.W.; Lü, H.; Pope, C.N.; (2003). "Ricci-Flat Metrics, Harmonic Forms and Brane Resolutions." Communications in Mathematical Physics 232(3): 457-500. <http://hdl.handle.net/2027.42/42006> | en_US |
dc.identifier.issn | 0010-3616 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/42006 | |
dc.description.abstract | We discuss the geometry and topology of the complete, non-compact, Ricci-flat Stenzel metric, on the tangent bundle of S n+1 . We obtain explicit results for all the metrics, and show how they can be obtained from first-order equations derivable from a superpotential. We then provide an explicit construction for the harmonic self-dual (p, q) -forms in the middle dimension p+q=(n+1) for the Stenzel metrics in 2(n+1) dimensions. Only the (p, p) -forms are L 2 -normalisable, while for (p, q) -forms the degree of divergence grows with . We also construct a set of Ricci-flat metrics whose level surfaces are U(1) bundles over a product of N Einstein-Kähler manifolds, and we construct examples of harmonic forms there. As an application, we construct new examples of deformed supersymmetric non-singular M2-branes with such 8-dimensional transverse Ricci-flat spaces. We show explicitly that the fractional D3-branes on the 6-dimensional Stenzel metric found by Klebanov and Strassler is supported by a pure (2,1)-form, and thus it is supersymmetric, while the example of Pando Zayas-Tseytlin is supported by a mixture of (1,2) and (2,1) forms. We comment on the implications for the corresponding dual field theories of our resolved brane solutions. | en_US |
dc.format.extent | 386208 bytes | |
dc.format.extent | 3115 bytes | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | text/plain | |
dc.language.iso | en_US | |
dc.publisher | Springer-Verlag; Springer-Verlag Berlin Heidelberg | en_US |
dc.subject.other | Legacy | en_US |
dc.title | Ricci-Flat Metrics, Harmonic Forms and Brane Resolutions | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Physics | en_US |
dc.subject.hlbsecondlevel | Mathematics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Department of Physics, University of Michigan, Ann Arbor, Mi 48109, USA, US | en_US |
dc.contributor.affiliationother | Center for Theoretical Physics, Texas A&M University, College Station, TX 77843, USA, US | en_US |
dc.contributor.affiliationother | DAMTP, Centre for Mathematical Science, Cambridge University, Wilberforce Road, Cambridge CB3 OWA, UK, GB | en_US |
dc.contributor.affiliationother | Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, PA 19104, USA, US | en_US |
dc.contributor.affiliationumcampus | Ann Arbor | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/42006/1/32320457.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1007/s00220-002-0730-3 | en_US |
dc.identifier.source | Communications in Mathematical Physics | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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