The family problem: hints from heterotic line bundle models
Within the class of heterotic line bundle models, we argue that (Formula presented.) vacua which lead to a small number of low-energy chiral families are preferred. By imposing an upper limit on the volume of the internal manifold, as required in order to obtain finite values of the four-dimensional...
| Үндсэн зохиолчид: | , , |
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| Формат: | Journal article |
| Хэвлэсэн: |
Springer-Verlag Berlin Heidelberg
2016
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| _version_ | 1826291580059779072 |
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| author | Constantin, A Lukas, A Mishra, C |
| author_facet | Constantin, A Lukas, A Mishra, C |
| author_sort | Constantin, A |
| collection | OXFORD |
| description | Within the class of heterotic line bundle models, we argue that (Formula presented.) vacua which lead to a small number of low-energy chiral families are preferred. By imposing an upper limit on the volume of the internal manifold, as required in order to obtain finite values of the four-dimensional gauge couplings, and validity of the supergravity approximation we show that, for a given manifold, only a finite number of line bundle sums are consistent with supersymmetry. By explicitly scanning over this finite set of line bundle models on certain manifolds we show that, for a sufficiently small volume of the internal manifold, the family number distribution peaks at small values, consistent with three chiral families. The relation between the maximal number of families and the gauge coupling is discussed, which hints towards a possible explanation of the family problem. |
| first_indexed | 2024-03-07T03:01:32Z |
| format | Journal article |
| id | oxford-uuid:b11f077f-a6e9-4fe7-b9b2-5c5649ee9b17 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T03:01:32Z |
| publishDate | 2016 |
| publisher | Springer-Verlag Berlin Heidelberg |
| record_format | dspace |
| spelling | oxford-uuid:b11f077f-a6e9-4fe7-b9b2-5c5649ee9b172022-03-27T04:01:43ZThe family problem: hints from heterotic line bundle modelsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:b11f077f-a6e9-4fe7-b9b2-5c5649ee9b17Symplectic Elements at OxfordSpringer-Verlag Berlin Heidelberg2016Constantin, ALukas, AMishra, CWithin the class of heterotic line bundle models, we argue that (Formula presented.) vacua which lead to a small number of low-energy chiral families are preferred. By imposing an upper limit on the volume of the internal manifold, as required in order to obtain finite values of the four-dimensional gauge couplings, and validity of the supergravity approximation we show that, for a given manifold, only a finite number of line bundle sums are consistent with supersymmetry. By explicitly scanning over this finite set of line bundle models on certain manifolds we show that, for a sufficiently small volume of the internal manifold, the family number distribution peaks at small values, consistent with three chiral families. The relation between the maximal number of families and the gauge coupling is discussed, which hints towards a possible explanation of the family problem. |
| spellingShingle | Constantin, A Lukas, A Mishra, C The family problem: hints from heterotic line bundle models |
| title | The family problem: hints from heterotic line bundle models |
| title_full | The family problem: hints from heterotic line bundle models |
| title_fullStr | The family problem: hints from heterotic line bundle models |
| title_full_unstemmed | The family problem: hints from heterotic line bundle models |
| title_short | The family problem: hints from heterotic line bundle models |
| title_sort | family problem hints from heterotic line bundle models |
| work_keys_str_mv | AT constantina thefamilyproblemhintsfromheteroticlinebundlemodels AT lukasa thefamilyproblemhintsfromheteroticlinebundlemodels AT mishrac thefamilyproblemhintsfromheteroticlinebundlemodels AT constantina familyproblemhintsfromheteroticlinebundlemodels AT lukasa familyproblemhintsfromheteroticlinebundlemodels AT mishrac familyproblemhintsfromheteroticlinebundlemodels |