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Correlators from String Nets

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String-Net Construction of RCFT Correlators

Part of the book series: SpringerBriefs in Mathematical Physics ((BRIEFSMAPHY,volume 45))

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Abstract

This chapter contains our central construction, the one of string-net correlators, as defined in Definition 3.26. The chief result—Theorem 3.28—states that the construction does provide a consistent system of correlators.

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Notes

  1. 1.

    Strictly speaking, \(\textrm{col}_V(v)\) is not an element of the morphism space shown in (3.2), but rather in the space that is obtained as a limit over all linear orders compatible with the cyclic order, analogously as in (A.42). By abuse of notation, we suppress this issue.

References

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Authors and Affiliations

  1. Theoretical Physics, Karlstad University, Karlstad, Sweden

    Jürgen Fuchs

  2. Department of Mathematics, University of Hamburg, Hamburg, Germany

    Christoph Schweigert & Yang Yang

Authors
  1. Jürgen Fuchs
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  2. Christoph Schweigert
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  3. Yang Yang
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Corresponding author

Correspondence to Christoph Schweigert .

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Fuchs, J., Schweigert, C., Yang, Y. (2022). Correlators from String Nets. In: String-Net Construction of RCFT Correlators. SpringerBriefs in Mathematical Physics, vol 45. Springer, Cham. https://doi.org/10.1007/978-3-031-14682-4_3

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