| Budget Amount *help |
¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
Fiscal Year 2016: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2015: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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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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