2012 Fiscal Year Final Research Report
Fusion rules for irrational vertex operator algebras
| Project/Area Number |
23740019
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
Algebra
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| Research Institution | University of Tsukuba (2012)
Osaka University (2011) |
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Principal Investigator |
ARIKE Yusuke 筑波大学, 数理物質系, 助教 (50583770)
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| Project Period (FY) |
2011 – 2012
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| Keywords | 頂点作用素代数 / 共形場理論 / フュージョン則 |
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| Research Abstract |
We determine the dimensions of the spaces of intertwining operators among irreducible modules for the vertex operator algebra arising from symplectic fermions. We also determine the dimensions of the spaces of logarithmic intertwining operators among indecomposable modules for the vertex operator superalgebra arising from symplectic fermions. By using this result we calculated tensor products of some indecomposable modules.
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