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Space-time geometry of topological phases

Abstract:

The 2 + 1 dimensional lattice models of Levin and Wen (2005) [1] provide the most general known microscopic construction of topological phases of matter. Based heavily on the mathematical structure of category theory, many of the special properties of these models are not obvious. In the current paper, we present a geometrical space-time picture of the partition function of the Levin-Wen models which can be described as doubles (two copies with opposite chiralities) of underlying anyon theori...

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Publication status:
Published

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Publisher copy:
10.1016/j.aop.2010.06.003

Authors


Burnell, FJ More by this author
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Institution:
University of Oxford
Department:
Oxford, MPLS, Physics, Theoretical Physics
Journal:
ANNALS OF PHYSICS
Volume:
325
Issue:
11
Pages:
2550-2593
Publication date:
2010-11-05
DOI:
EISSN:
1096-035X
ISSN:
0003-4916
URN:
uuid:f7f0432c-4858-4f6b-b20a-fe9b7e64a174
Source identifiers:
158964
Local pid:
pubs:158964

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