Journal article icon

Journal article

A Wilson line picture of the Levin-Wen partition functions

Abstract:

Lattice Hamiltonians (e.g. Levin and Wen 2005 Phys. Rev. B 71 045110) can be constructed that have a low energy description, that is a doubled Chern–Simons (CS) theory—two independent opposite chirality topological sectors. We show that the partition function of these theories is an expectation of Wilson loops that form a link in 2+1 dimensional spacetime known in the mathematical literature as chain–mail. This geometric construction establishes a concrete connection between the lattice model...

Expand abstract
Publication status:
Published
Peer review status:
Peer reviewed
Version:
Publisher's version

Actions


Access Document


Files:
Publisher copy:
10.1088/1367-2630/13/6/065001

Authors


More by this author
Institution:
University of Oxford
Department:
Oxford, MPLS, Physics
More by this author
Institution:
University of Oxford
Department:
Oxford, MPLS, Physics, Theoretical Physics
Publisher:
IOP Publishing Publisher's website
Journal:
New Journal of Physics Journal website
Volume:
13
Issue:
6
Pages:
Article: 065001
Publication date:
2011-06-05
DOI:
EISSN:
1367-2630
ISSN:
1367-2630
URN:
uuid:f4d5fb10-379e-41da-b5c9-9340b4075a15
Source identifiers:
164298
Local pid:
pubs:164298

Terms of use


Metrics



If you are the owner of this record, you can report an update to it here: Report update to this record

TO TOP