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Superconformal Field Theories for Compact G_2 Manifolds

Ralph Blumenhagen·Volker Braun
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Abstract

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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Ralph Blumenhagen, Volker Braun. 2001-11-06. Superconformal Field Theories for Compact G_2 Manifolds. https://doi.org/10.1088/1126-6708%2F2001%2F12%2F006

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