Rational conformal field theories with G2 holonomy
We study conformal field theories for strings propagating on compact, seven-dimensional manifolds with G 2 holonomy. In particular, we describe the construction of rational examples of such models. We argue that analogues of Gepner models are to be constructed based not on ##IMG## [http://ej.iop.org...
Gespeichert in:
| Hauptverfasser: | , |
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
2 January 2002
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| In: |
Journal of high energy physics
Year: 2001, Heft: 12 |
| ISSN: | 1029-8479 |
| DOI: | 10.1088/1126-6708/2001/12/008 |
| Online-Zugang: | Verlag, kostenfrei, Volltext: http://dx.doi.org/10.1088/1126-6708/2001/12/008 Verlag, kostenfrei, Volltext: http://stacks.iop.org/1126-6708/2001/i=12/a=008 
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| Verfasserangaben: | Radu Roiban, Johannes Walcher |
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| 520 | |a We study conformal field theories for strings propagating on compact, seven-dimensional manifolds with G 2 holonomy. In particular, we describe the construction of rational examples of such models. We argue that analogues of Gepner models are to be constructed based not on ##IMG## [http://ej.iop.org/icons/Entities/calN.gif] Script N = 1 minimal models, but on ##IMG## [http://ej.iop.org/icons/Entities/BbbZ.gif] Bbb Z 2 orbifolds of ##IMG## [http://ej.iop.org/icons/Entities/calN.gif] Script N = 2 models. In ##IMG## [http://ej.iop.org/icons/Entities/BbbZ.gif] Bbb Z 2 orbifolds of Gepner models times a circle, it turns out that unless all levels are even, there are no new Ramond ground states from twisted sectors. In examples such as the quintic Calabi-Yau, this reflects the fact that the classical geometric orbifold singularity can not be resolved without violating G 2 holonomy. We also comment on supersymmetric boundary states in such theories, which correspond to D-branes wrapping supersymmetric cycles in the geometry. | ||
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