{ "id": "2407.07555", "version": "v1", "published": "2024-07-10T11:29:27.000Z", "updated": "2024-07-10T11:29:27.000Z", "title": "Conformal bootstrap and Mirror symmetry of states in Gepner models", "authors": [ "Sergej Parkhomenko" ], "comment": "18 pages, 0 figures. arXiv admin note: text overlap with arXiv:2208.11612", "categories": [ "hep-th" ], "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.", "revisions": [ { "version": "v1", "updated": "2024-07-10T11:29:27.000Z" } ], "analyses": { "keywords": [ "gepner models", "mirror symmetry", "conformal bootstrap", "explicitly build iia/iib mirror map", "berglund-hubsh-krawitz dual orbifold groups" ], "note": { "typesetting": "TeX", "pages": 18, "language": "en", "license": "arXiv", "status": "editable" } } }