D-branes on noncompact Calabi-Yau manifolds: K-theory and monodromy
We study D-branes on smooth noncompact toric Calabi-Yau manifolds that are resolutions of Abelian orbifold singularities. Such a space has a distinguished basis {S i} for the compactly supported K-theory. Using local mirror symmetry we demonstrate that the Si have simple tran...
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| Format: | Journal article |
| Language: | English |
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2002
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| _version_ | 1826288034141700096 |
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| author | de la Ossa, X Florea, B Skarke, H |
| author_facet | de la Ossa, X Florea, B Skarke, H |
| author_sort | de la Ossa, X |
| collection | OXFORD |
| description | We study D-branes on smooth noncompact toric Calabi-Yau manifolds that are resolutions of Abelian orbifold singularities. Such a space has a distinguished basis {S i} for the compactly supported K-theory. Using local mirror symmetry we demonstrate that the Si have simple transformation properties under monodromy; in particular, they are the objects that generate monodromy around the principal component of the discriminant locus. One of our examples, the toric resolution of ℂ 3/(ℤ 2 × ℤ 2), is a three parameter model for which we are able to give an explicit solution of the GKZ system. © 2002 Elsevier Science B.V. All rights reserved. |
| first_indexed | 2024-03-07T02:07:37Z |
| format | Journal article |
| id | oxford-uuid:9f867d7e-69b5-489f-bf98-c3990a6f13e1 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T02:07:37Z |
| publishDate | 2002 |
| record_format | dspace |
| spelling | oxford-uuid:9f867d7e-69b5-489f-bf98-c3990a6f13e12022-03-27T00:58:36ZD-branes on noncompact Calabi-Yau manifolds: K-theory and monodromyJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:9f867d7e-69b5-489f-bf98-c3990a6f13e1EnglishSymplectic Elements at Oxford2002de la Ossa, XFlorea, BSkarke, HWe study D-branes on smooth noncompact toric Calabi-Yau manifolds that are resolutions of Abelian orbifold singularities. Such a space has a distinguished basis {S i} for the compactly supported K-theory. Using local mirror symmetry we demonstrate that the Si have simple transformation properties under monodromy; in particular, they are the objects that generate monodromy around the principal component of the discriminant locus. One of our examples, the toric resolution of ℂ 3/(ℤ 2 × ℤ 2), is a three parameter model for which we are able to give an explicit solution of the GKZ system. © 2002 Elsevier Science B.V. All rights reserved. |
| spellingShingle | de la Ossa, X Florea, B Skarke, H D-branes on noncompact Calabi-Yau manifolds: K-theory and monodromy |
| title | D-branes on noncompact Calabi-Yau manifolds: K-theory and monodromy |
| title_full | D-branes on noncompact Calabi-Yau manifolds: K-theory and monodromy |
| title_fullStr | D-branes on noncompact Calabi-Yau manifolds: K-theory and monodromy |
| title_full_unstemmed | D-branes on noncompact Calabi-Yau manifolds: K-theory and monodromy |
| title_short | D-branes on noncompact Calabi-Yau manifolds: K-theory and monodromy |
| title_sort | d branes on noncompact calabi yau manifolds k theory and monodromy |
| work_keys_str_mv | AT delaossax dbranesonnoncompactcalabiyaumanifoldsktheoryandmonodromy AT floreab dbranesonnoncompactcalabiyaumanifoldsktheoryandmonodromy AT skarkeh dbranesonnoncompactcalabiyaumanifoldsktheoryandmonodromy |