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CFT Description of String Theory Compactified on Non-compact Manifolds with G_2 Holonomy

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arxiv hep-th/0108091 v2 pith:BXEVXMBD submitted 2001-08-14 hep-th

classification hep-th
keywords holonomymanifoldsnon-compactamplitudescompactifiedconstructfunctionpartition
verification ladder T0 review T1 audit T2 compute T3 formal
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We construct modular invariant partition functions for strings propagating on non-compact manifolds of G_2 holonomy. Our amplitudes involve a pair of N=1 minimal models M_m, M_{m+2} (m=3,4,...) and are identified as describing strings on manifolds of G_2 holonomy associated with A_{m-2} type singularity. It turns out that due to theta function identities our amplitudes may be cast into a form which contain tricritical Ising model for any m. This is in accord with the results of Shatashvili and Vafa. We also construct a candidate partition function for string compactified on a non-compact Spin(7) manifold.

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  1. $\mathcal{SW}$-algebras and strings with torsion

    hep-th 2024-12 conditional novelty 6.0 of 10

    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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