Rational conformal field theories with G(2) holonomy
Oct, 200119 pages
Published in:
- JHEP 12 (2001) 008
e-Print:
- hep-th/0110302 [hep-th]
Report number:
- NSF-ITP-01-166
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Abstract:
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 N=1 minimal models, but on Z_2 orbifolds of N=2 models. In 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.- field theory: conformal
- field theory: rational
- dimension: 2
- string model
- dimension: 7
- holonomy: G(2)
- orbifold
- partition function
- boundary condition
- supersymmetry
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