dorsal/arxiv
View SchemaIntroduction to vertex operator algebras III
| Authors | Yi-Zhi Huang |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9504019 |
| URL | https://arxiv.org/abs/q-alg/9504019 |
Abstract
This is the third part of the revised versions of the notes of three consecutive expository lectures given by Chongying Dong, Haisheng Li and Yi-Zhi Huang in the conference on Monster and vertex operator algebras at the Research Institute of Mathematical Sciences, Kyoto, September 4-9, 1994. In this part, we discuss an $S_{3}$-symmetry of the Jacobi identity, construct the contragredient module for a module for a vertex operator algebra and apply these to the construction of the vertex operator map for the moonshine module. We review the notions of intertwining operator, fusion rule and Verlinde algebra. We also describe briefly the geometric interpretation of vertex operator algebras. We end the exposition with an explanation of the role of vertex operator algebras in conformal field theories.
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"abstract": "This is the third part of the revised versions of the notes of three\nconsecutive expository lectures given by Chongying Dong, Haisheng Li and Yi-Zhi\nHuang in the conference on Monster and vertex operator algebras at the Research\nInstitute of Mathematical Sciences, Kyoto, September 4-9, 1994. In this part,\nwe discuss an $S_{3}$-symmetry of the Jacobi identity, construct the\ncontragredient module for a module for a vertex operator algebra and apply\nthese to the construction of the vertex operator map for the moonshine module.\nWe review the notions of intertwining operator, fusion rule and Verlinde\nalgebra. We also describe briefly the geometric interpretation of vertex\noperator algebras. We end the exposition with an explanation of the role of\nvertex operator algebras in conformal field theories.",
"arxiv_id": "q-alg/9504019",
"authors": [
"Yi-Zhi Huang"
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"q-alg",
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"title": "Introduction to vertex operator algebras III",
"url": "https://arxiv.org/abs/q-alg/9504019"
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