Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-08-21
Physics
High Energy Physics
High Energy Physics - Theory
77 pages, 7 figures
Scientific paper
10.1088/1126-6708/2008/11/022
We consider type II and heterotic string compactifications on an isolated singularity in the noncompact Gepner model approach. The conifold-type ADE noncompact Calabi-Yau threefolds, as well as the ALE twofolds, are modeled by a tensor product of the SL(2,R)/U(1) Kazama-Suzuki model and an N=2 minimal model. Based on the string partition functions on these internal Calabi-Yaus previously obtained by Eguchi and Sugawara, we construct new modular invariant, space-time supersymmetric partition functions for both type II and heterotic string theories, where the GSO projection is performed before the continuous and discrete state contributions are separated. We investigate in detail the massless spectra of the localized modes. In particular, we propose an interesting three generation model, in which each flavor is in the 27+1 representation of E6 and localized on a four-dimensional space-time residing at the tip of the cigar.
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