Semi-realistic particle physics model building in string theory on singular manifolds

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Using the N=2 superconformal field theories based on noncompact group cosets, we described singular Calabi-Yau manifolds and studied heterotic string theories on these manifolds. We derived the spectra of localized modes of the noncompactmodels coupled to N=2 minimal models with an arbitrary level. In particular, we found among them a three generation model. Based on the duality between NS5-branes and isolated singularities, we solved the Dirac equations on an intersecting 5-brane background and showed that there exist two and one zero modes, respectively, in the 27 and 27* of E6. We also pointed out the coincidence of the spectrum and that of a supersymmetric nonlinear sigma model.