CFT description of string theory compactified on noncompact manifolds with G(2) holonomy
Aug, 200112 pages
Published in:
- Phys.Lett.B 519 (2001) 149-158
e-Print:
- hep-th/0108091 [hep-th]
Report number:
- UT-961
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Abstract:
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.Note:
- Dedicated to the memory of Sung-Kil Yang •
- It is found that tricritical Ising model is contained in our amplitues in agreement with the results of Shatashvili and Vafa. Manuscript is revised accordingly. A new reference is also added Report-no: UT-961
- string model
- partition function
- space-time
- holonomy: G(2)
- holonomy: Spin(7)
- field theory: conformal
- dimension: 2
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