## Genus two partition and correlation functions for fermionic vertex operator superalgebras II

dc.contributor.author | Tuite, Michael P. | |

dc.contributor.author | Zuevsky, Alexander | |

dc.date.accessioned | 2019-04-08T12:53:29Z | |

dc.date.available | 2019-04-08T12:53:29Z | |

dc.date.issued | 2018-10-18 | |

dc.identifier.citation | Tuite, Michael P. , & Zuevsky, Alexander. (2014). Genus two partition and correlation functions for fermionic vertex operator superalgebras II. | |

dc.identifier.uri | http://hdl.handle.net/10379/15104 | |

dc.description.abstract | We define and compute the continuous orbifold partition function and a generating function for all n-point correlation functions for the rank two free fermion vertex operator superalgebra on a genus two Riemann surface formed by self-sewing a torus. The partition function is proportional to an infinite dimensional determinant with entries arising from torus Szego kernel and the generating function is proportional to a finite determinant of genus two Szego kernels. These results follow from an explicit analysis of all torus n-point correlation functions for intertwiners of the irreducible modules of the Heisenberg vertex operator algebra. We prove that the partition and n-point correlation functions are holomorphic on a suitable domain and describe their modular properties. We also describe an identity for the genus two Riemann theta series analogous to the Jacobi triple product identity. | en_IE |

dc.subject | Vertex algebras | en_IE |

dc.subject | Riemann surfaces | en_IE |

dc.title | Genus two partition and correlation functions for fermionic vertex operator superalgebras II | en_IE |

dc.type | Article | en_IE |

dc.local.publishedsource | https://arxiv.org/abs/1308.2441 | |

dc.description.peer-reviewed | non-peer-reviewed | en_IE |

dc.contributor.funder | Science Foundation Ireland | en_IE |

nui.item.downloads | 13 |

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