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...

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Bibliographic Details
Main Authors: Roiban, Radu (Author) , Walcher, Johannes (Author)
Format: Article (Journal)
Language:English
Published: 2 January 2002
In: Journal of high energy physics
Year: 2001, Issue: 12
ISSN:1029-8479
DOI:10.1088/1126-6708/2001/12/008
Online Access: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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Author Notes:Radu Roiban, Johannes Walcher
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Summary: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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Published 2 January 2002
Gesehen am 11.09.2020
Physical Description:Online Resource
ISSN:1029-8479
DOI:10.1088/1126-6708/2001/12/008