nLab invertible field theory

Redirected from "invertible TQFTs".
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Contents

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Idea

An invertible (extended) functorial field theory is one which is an invertible object under the tensor product on TQFTs [Freed & Moore (2006), Def. 5.7], which essentially means that it is one whose target category is a rigid symmetric monoidal groupoid, a Picard groupoid (DGP 19, p.20).

References

The proposal to understand quantum anomalies of lower-dimensional non-invertible (and possibly non-topological) quantum field theories as invertible topoligical field theories:

As formalizing short-range entanglement in topological phases of matter:

On classification (via reflection positivity):

Review:

Relation to cutting and pasting of manifolds:

Application to anomalies of gapped systems:

Last revised on August 28, 2024 at 05:03:02. See the history of this page for a list of all contributions to it.