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Computing the Complete Massless Spectrum of a Landau-Ginzburg Orbifold
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abstract
We develop techniques to compute the complete the massless spectrum in heterotic string compactification on N=2 supersymmetric Landau-Ginzburg orbifolds. This includes not just the familiar charged fields, but also the gauge singlets. The number of gauge singlets can vary in the moduli space of a given compactification and can differ from what it would be in the large radius limit of the corresponding Calabi-Yau. Comparison with exactly soluble Gepner models provides a confirmation of our results at Gepner points. Our methods carry over straightforwardly to $(0,2)$ Landau-Ginzburg models.
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The complete massless singlet spectrum in the free-field construction of heterotic strings on Calabi--Yau orbifolds
The massless E6 singlet spectra of Fermat-type Calabi–Yau orbifolds are determined by Shapovalov ranks, yielding 330 singlets for the quintic and new counts 210 and 258 for two orbifolds.
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