Generalized Calabi-Yau Manifolds and the Mirror of a Rigid Manifold
We describe the mirror of the Z orbifold as a representation of a class of generalized Calabi-Yau manifolds that can be realized as manifolds of dimension five and seven. Despite their dimension these correspond to superconformal theories with $c=9$ and so are perfectly good for compactifying the he...
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| Format: | Journal article |
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1993
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| _version_ | 1797066223380332544 |
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| author | Candelas, P Derrick, E Parkes, L |
| author_facet | Candelas, P Derrick, E Parkes, L |
| author_sort | Candelas, P |
| collection | OXFORD |
| description | We describe the mirror of the Z orbifold as a representation of a class of generalized Calabi-Yau manifolds that can be realized as manifolds of dimension five and seven. Despite their dimension these correspond to superconformal theories with $c=9$ and so are perfectly good for compactifying the heterotic string to the four dimensions of space-time. As a check of mirror symmetry we compute the structure of the space of complex structures of the mirror and check that this reproduces the known results for the Yukawa couplings and metric appropriate to the Kahler class parameters on the Z orbifold together with their instanton corrections. |
| first_indexed | 2024-03-06T21:39:22Z |
| format | Journal article |
| id | oxford-uuid:475f0836-e187-47b4-bcf6-c6eb03cbc890 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T21:39:22Z |
| publishDate | 1993 |
| record_format | dspace |
| spelling | oxford-uuid:475f0836-e187-47b4-bcf6-c6eb03cbc8902022-03-26T15:19:49ZGeneralized Calabi-Yau Manifolds and the Mirror of a Rigid ManifoldJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:475f0836-e187-47b4-bcf6-c6eb03cbc890Symplectic Elements at Oxford1993Candelas, PDerrick, EParkes, LWe describe the mirror of the Z orbifold as a representation of a class of generalized Calabi-Yau manifolds that can be realized as manifolds of dimension five and seven. Despite their dimension these correspond to superconformal theories with $c=9$ and so are perfectly good for compactifying the heterotic string to the four dimensions of space-time. As a check of mirror symmetry we compute the structure of the space of complex structures of the mirror and check that this reproduces the known results for the Yukawa couplings and metric appropriate to the Kahler class parameters on the Z orbifold together with their instanton corrections. |
| spellingShingle | Candelas, P Derrick, E Parkes, L Generalized Calabi-Yau Manifolds and the Mirror of a Rigid Manifold |
| title | Generalized Calabi-Yau Manifolds and the Mirror of a Rigid Manifold |
| title_full | Generalized Calabi-Yau Manifolds and the Mirror of a Rigid Manifold |
| title_fullStr | Generalized Calabi-Yau Manifolds and the Mirror of a Rigid Manifold |
| title_full_unstemmed | Generalized Calabi-Yau Manifolds and the Mirror of a Rigid Manifold |
| title_short | Generalized Calabi-Yau Manifolds and the Mirror of a Rigid Manifold |
| title_sort | generalized calabi yau manifolds and the mirror of a rigid manifold |
| work_keys_str_mv | AT candelasp generalizedcalabiyaumanifoldsandthemirrorofarigidmanifold AT derricke generalizedcalabiyaumanifoldsandthemirrorofarigidmanifold AT parkesl generalizedcalabiyaumanifoldsandthemirrorofarigidmanifold |