Published July 14, 2017
| Submitted
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Entanglement entropy from SU(2) Chern-Simons theory and symmetric webs
- Creators
- Chun, Sungbong
-
Bao, Ning
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.
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.Attached Files
Submitted - 1707.03525.pdf
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Additional details
- Eprint ID
- 79097
- Resolver ID
- CaltechAUTHORS:20170713-145329116
- DE-SC0011632
- Department of Energy (DOE)
- Samsung Scholarship
- Walter Burke Institute for Theoretical Physics, Caltech
- Created
-
2017-07-14Created from EPrint's datestamp field
- Updated
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2023-06-02Created from EPrint's last_modified field
- Caltech groups
- Walter Burke Institute for Theoretical Physics, Institute for Quantum Information and Matter
- Other Numbering System Name
- CALT-TH
- Other Numbering System Identifier
- 2017-035