String Theory on G_2 Manifolds Based on Gepner Construction

Abstract

We study the type II string theories compactified on manifolds of $G_2$ holonomy of the type $({Calabi-Yau 3-fold} \times S^1)/\bz_2$ where $C{Y}_3$ sectors realized by the Gepner models. We construct modular invariant partition functions for $G_2$ manifold for arbitrary Gepner models of the Calabi-Yau sector. We note that the conformal blocks contain the tricritical Ising model and find extra massless states in the twisted sectors of the theory when all the levels $k_i$ of minimal models in Gepner constructions are even.

20 pages, no figure, improvement on some technical points in the discussions of twisted sectors

Cited by in corpus (21)

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• Supersymmetry, G-flux and Spin(7) manifolds
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• The Topological G2 String
• Coset Construction of Noncompact Spin(7) and G_2 CFTs
• Supercoset CFT's for String Theories on Non-compact Special Holonomy Manifolds
• Superconformal algebras for twisted connected sums and $G_2$ mirror symmetry
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• A Realization of N=1 $\mathcal{S}\mathcal{W}(3/2,2)$ Algebras with Wolf Spaces
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• $\mathcal{S}\mathcal{W}$-algebras and strings with torsion
• Graphical Tensor Product Reduction Scheme for the Lie Algebras so(5) = sp(2), su(3), and g(2)
• Towards A Topological G_2 String
• Non-supersymmetric D-branes with Vanishing Cylinder Amplitudes in Asymmetric Orbifolds