Stabilizing the complex structure in heterotic Calabi-Yau vacua
In this paper, we show that the presence of gauge fields in heterotic Calabi-Yau compactifications can cause the stabilization of some, or all, of the complex structure moduli while maintaining a Minkowski vacuum. Certain deformations of the Calabi-Yau complex structure, with all other moduli held f...
| Main Authors: | , , , |
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| Format: | Journal article |
| Language: | English |
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2011
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| _version_ | 1797073383045726208 |
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| author | Anderson, L Gray, J Lukas, A Ovrut, B |
| author_facet | Anderson, L Gray, J Lukas, A Ovrut, B |
| author_sort | Anderson, L |
| collection | OXFORD |
| description | In this paper, we show that the presence of gauge fields in heterotic Calabi-Yau compactifications can cause the stabilization of some, or all, of the complex structure moduli while maintaining a Minkowski vacuum. Certain deformations of the Calabi-Yau complex structure, with all other moduli held fixed, can lead to the gauge bundle becoming non-holomorphic and, hence, non-supersymmetric. This is manifested by a positive F-term potential which stabilizes the corresponding complex structure moduli. We use 10-and 4-dimensional field theory arguments as well as a derivation based purely on algebraic geometry to show that this picture is indeed correct. An explicit example is presented in which a large subset of complex structure moduli is fixed. We demonstrate that this type of theory can serve as the hidden sector in heterotic vacua with realistic particle physics. © SISSA 2011. |
| first_indexed | 2024-03-06T23:21:19Z |
| format | Journal article |
| id | oxford-uuid:68d1d612-5bf6-4b38-aceb-f622fb1e1391 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T23:21:19Z |
| publishDate | 2011 |
| record_format | dspace |
| spelling | oxford-uuid:68d1d612-5bf6-4b38-aceb-f622fb1e13912022-03-26T18:47:34ZStabilizing the complex structure in heterotic Calabi-Yau vacuaJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:68d1d612-5bf6-4b38-aceb-f622fb1e1391EnglishSymplectic Elements at Oxford2011Anderson, LGray, JLukas, AOvrut, BIn this paper, we show that the presence of gauge fields in heterotic Calabi-Yau compactifications can cause the stabilization of some, or all, of the complex structure moduli while maintaining a Minkowski vacuum. Certain deformations of the Calabi-Yau complex structure, with all other moduli held fixed, can lead to the gauge bundle becoming non-holomorphic and, hence, non-supersymmetric. This is manifested by a positive F-term potential which stabilizes the corresponding complex structure moduli. We use 10-and 4-dimensional field theory arguments as well as a derivation based purely on algebraic geometry to show that this picture is indeed correct. An explicit example is presented in which a large subset of complex structure moduli is fixed. We demonstrate that this type of theory can serve as the hidden sector in heterotic vacua with realistic particle physics. © SISSA 2011. |
| spellingShingle | Anderson, L Gray, J Lukas, A Ovrut, B Stabilizing the complex structure in heterotic Calabi-Yau vacua |
| title | Stabilizing the complex structure in heterotic Calabi-Yau vacua |
| title_full | Stabilizing the complex structure in heterotic Calabi-Yau vacua |
| title_fullStr | Stabilizing the complex structure in heterotic Calabi-Yau vacua |
| title_full_unstemmed | Stabilizing the complex structure in heterotic Calabi-Yau vacua |
| title_short | Stabilizing the complex structure in heterotic Calabi-Yau vacua |
| title_sort | stabilizing the complex structure in heterotic calabi yau vacua |
| work_keys_str_mv | AT andersonl stabilizingthecomplexstructureinheteroticcalabiyauvacua AT grayj stabilizingthecomplexstructureinheteroticcalabiyauvacua AT lukasa stabilizingthecomplexstructureinheteroticcalabiyauvacua AT ovrutb stabilizingthecomplexstructureinheteroticcalabiyauvacua |