Chun, Sungbong and Bao, Ning (2017) Entanglement entropy from SU(2) Chern-Simons theory and symmetric webs. . https://resolver.caltech.edu/CaltechAUTHORS:20170713-145329116
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Abstract
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.
| Item Type: | Report or Paper (Discussion Paper) | ||||||||
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| Additional Information: | We would like to thank Fran¸cois Costantino, Sergei Gukov, Peter Kravchuck, Greg Kuperberg, and Onkar Parrikar for discussions. N.B. is funded as a Burke Fellow at the Walter Burke Institute for Theoretical Physics. The work is funded in part by the DOE Grant DESC0011632 and the Walter Burke Institute for Theoretical Physics, and also by the Samsung Scholarship. | ||||||||
| Group: | Walter Burke Institute for Theoretical Physics, Institute for Quantum Information and Matter | ||||||||
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| DOI: | 10.48550/arXiv.1707.03525 | ||||||||
| Record Number: | CaltechAUTHORS:20170713-145329116 | ||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20170713-145329116 | ||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||
| ID Code: | 79097 | ||||||||
| Collection: | CaltechAUTHORS | ||||||||
| Deposited By: | Joy Painter | ||||||||
| Deposited On: | 14 Jul 2017 14:47 | ||||||||
| Last Modified: | 02 Jun 2023 00:34 |
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