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Open-closed rational conformal field theories |
2017-09-20
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Institute of Theoretical Physics | Chinese Academy of Sciences | Key Laboratory of Theoretical Physics | Seminar | Title 题目 | Open-closed rational conformal field theories | Speaker 报告人 | Dr. Liang Kong | Affiliation 所在单位 | Yau Mathematical Science Center, Tsinghua University | Date 日期 | 2017年9月20日(周三)下午3:30 | Venue 地点 | Room 322, ITP | Abstract 摘要 | In this talk, I will give a review of the mathematical foundation of the boundary-bulk (or open-closed) rational conformal field theories. In particular, we will discuss all the ingredients of an open-closed conformal field theory, including bulk fields OPE, boundary fields OPE, boundary conditions, modular invariance conditions, Cardy conditions, boundary states, etc. As a consequence, we obtain a precise mathematical description of open-closed rational conformal field theories. Using this precise mathematical language, one can formulate precisely and prove rigorously the so-called "boundary-bulk duality" (or open-closed duality). If time permits, I can also briefly mention how it leads to a complete classification of gapless edges of 2+1D topological orders. | Contact person 所内联系人 | 田矗舜 |
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