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zbMATH Open
Article . 1995
Data sources: zbMATH Open
Journal of Mathematical Physics
Article . 1995 . Peer-reviewed
Data sources: Crossref
https://dx.doi.org/10.48550/ar...
Article . 1995
License: arXiv Non-Exclusive Distribution
Data sources: Datacite
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Direct sum decompositions and indecomposable TQFTs

Authors: Sawin, Stephen;

Direct sum decompositions and indecomposable TQFTs

Abstract

The decomposition of an arbitrary axiomatic topological quantum field theory or TQFT into indecomposable theories is given. In particular, unitary TQFTs in arbitrary dimensions are shown to decompose into a sum of theories in which the Hilbert space of the sphere is one-dimensional, and indecomposable two-dimensional theories are classified.

Related Organizations
Keywords

High Energy Physics - Theory, High Energy Physics - Theory (hep-th), Other types of cobordism, Quantum field theory; related classical field theories, Mathematics - Quantum Algebra, FOS: Mathematics, topological quantum field theory, Quantum Algebra (math.QA), FOS: Physical sciences

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    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
20
Top 10%
Top 10%
Average
Green
bronze