Superconformal Field Theories for Compact G_2 Manifolds

Details Superconformal Field Theories for Compact G_2 Manifolds Superconformal Field Theories for Compact G_2 Manifolds

2001-10-25

arxiv.org/abs/hep-th/0110232v2

JHEP 0112:006,2001

Physics

High Energy Physics

High Energy Physics - Theory

35 pages, TeX, harvmac, references added, typos corrected, extended discussion in section 7

Scientific paper

10.1088/1126-6708/2001/12/006

We present the construction of exactly solvable superconformal field theories describing Type II string models compactified on compact G_2 manifolds. These models are defined by anti-holomorphic quotients of the form (CY*S^1)/Z_2, where we realize the Calabi-Yau as a Gepner model. In the superconformal field theory the Z_2 acts as charge conjugation implying that the representation theory of a W(2,4,6,8,10) algebra plays an important role in the construction of these models. Intriguingly, in all three examples we study, including the quintic, the massless spectrum in the Z_2 twisted sector of the superconformal field theory differs from what one expects from the supergravity computation. This discrepancy is explained by the presence of a discrete NS-NS background two-form flux in the Gepner model.

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