Conformal bootstrap and Mirror symmetry of states in Gepner models
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866914423249043456 |
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| author | Parkhomenko, Sergej |
| author_facet | Parkhomenko, Sergej |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_07555 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Conformal bootstrap and Mirror symmetry of states in Gepner models Parkhomenko, Sergej High Energy Physics - Theory 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. |
| title | Conformal bootstrap and Mirror symmetry of states in Gepner models |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2407.07555 |