2016 Fiscal Year Final Research Report
Anyon condensation and operator algebars
| Project/Area Number |
15K13442
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| Research Category |
Grant-in-Aid for Challenging Exploratory Research
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| Allocation Type | Multi-year Fund |
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| Research Field |
Basic analysis
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| Research Institution | The University of Tokyo |
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Principal Investigator |
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| Project Period (FY) |
2015-04-01 – 2017-03-31
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| Keywords | 作用素環 / 共形場理論 / テンソル圏 / 部分因子環 / エニオン凝縮 / トポロジカル相 |
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| Outline of Final Research Achievements |
Gapped domain walls between topological phases of matters have been studied in condensed matter physics. We gave their mathematical definition and disproved a conjecture of Lan, Wang, and Wen made published in 2015.
The coupling matrix of a full conformal field theory has modular invariance if it has a trivial representation theory. When we have two same chiral conformal field theories, the decomposition rules of products of coupling matrices have been studied as the fusionr rules of modular invariants. We generalized the decomposition of the "tensor products" of full conformal field theories to the heterotic case. This amounts to a composition of gapped domain walls in the conetext of topological phases of matter.
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| Free Research Field |
作用素環論
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