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Entanglement entropy from SU(2) Chern-Simons theory and symmetric webs

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arxiv 1707.03525 v1 pith:DC2E27QS submitted 2017-07-12 hep-th cond-mat.str-elmath.GTquant-ph

Sungbong Chun , Ning Bao This is my paper · ORCID
classification hep-thcond-mat.str-elmath.GTquant-ph
keywords linkstatechern-simonscoloredinvariantssymmetrictheorywebs
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A path integral on a link complement of a three-sphere fixes a vector (the "link state") in Chern-Simons theory. The link state can be written in a certain basis with the colored link invariants as its coefficients. We use symmetric webs to systematically compute the colored link invariants, by which we can write down the multi-partite entangled state of any given link. It is still unknown if a product state necessarily implies that the corresponding components are unlinked, and we leave it as a conjecture.

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  1. Entanglement distillation of boundary states of large N SU(N)1, Chern-Simons theory and Riemann surfaces

    hep-th 2019-08 reject novelty 3.0 of 10

    A tree tensor network for distilling SU(N)_1 Chern-Simons boundary states is proposed, but its key fusion-matrix identification is asserted without derivation.

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