Journal of High Energy Physics (Nov 2024)

Conformal bootstrap and mirror symmetry of states in Gepner models

  • Sergej Parkhomenko

DOI
https://doi.org/10.1007/JHEP11(2024)104
Journal volume & issue
Vol. 2024, no. 11
pp. 1 – 18

Abstract

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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.

Keywords