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arXiv · 2407.07555

Conformal bootstrap and Mirror symmetry of states in Gepner models

Sergej Parkhomenko
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Abstract

We consider two explicit constructions of states in the orbifolds of a product of Minimal $N=(2,2)$ models which are based on twisting by spectral flow, mutual locality and operator algebra requirement. It is shown that these two constructions lead to the Berglund-Hubsh-Krawitz dual orbifold groups which define mirror pairs of isomorphic models. Then we generalize our construction for the orbifolds of Gepner models of superstring compactification and explicitly build IIA/IIB mirror map of the space of states of the superstrings using light-cone gauge.

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Sergej Parkhomenko. 2024-07-10. Conformal bootstrap and Mirror symmetry of states in Gepner models. https://doi.org/10.1007/jhep11(2024)104

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