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arXiv · 1612.03549

A relative tensor product of subfactors over a modular tensor category

Yasuyuki Kawahigashi
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Abstract

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.

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Yasuyuki Kawahigashi. 2017-05-15. A relative tensor product of subfactors over a modular tensor category. https://doi.org/10.1007/s11005-017-0972-9

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