String Theory on G_2 Manifolds Based on Gepner Construction

Tohru Eguchi; Yuji Sugawara

String Theory on G_2 Manifolds Based on Gepner Construction

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arxiv hep-th/0111012 v3 pith:PEOTGXF3 submitted 2001-11-01 hep-th

Tohru Eguchi , Yuji Sugawara This is my paper · ORCID

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keywords gepnermodelscalabi-yaumanifoldssectorsstringtheorytype

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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 $CY_3$ 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.

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For G2 and SU(3) string backgrounds with NS flux, the scalar torsion class controls the first-order deformation of the worldsheet super W-algebra couplings away from special holonomy.

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