Gepner-like models and Landau-Ginzburg/sigma-model correspondence

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Scientific paper

10.1088/1751-8113/42/30/304023

The Gepner-like models of $k^{K}$-type is considered. When $k+2$ is multiple
of $K$ the elliptic genus and the Euler characteristic is calculated. Using
free-field representation we relate these models with $\sigma$-models on
hypersurfaces in the total space of anticanonical bundle over the projective
space $\mathbb{P}^{K-1}$.

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