A relative tensor product of subfactors over a modular tensor category

作者：Kawahigashi Yasuyuki^*

来源：Letters in Mathematical Physics, 2017, 107(11): 1963-1970.

DOI：10.1007/s11005-017-0972-9

• Conformal field theory
• Modular tensor category
• Modular invariant
• Subfactor

We define and study a certain relative tensor product of subfactors over a modular tensor category. This gives a relative tensor product of two completely rational heterotic full local conformal nets with trivial superselection structures over a common chiral representation category. In particular, we have a new realization of fusion rules of modular invariants. This also gives a mathematical definition of a composition of two gapped domain walls between topological phases.

• 出版日期2017-11