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Onsager symmetries in $U(1)$ -invariant clock models

Abstract:

We show how the Onsager algebra, used in the original solution of the two-dimensional Ising model, arises as an infinite-dimensional symmetry of certain self-dual models that also have a symmetry. We describe in detail the example of nearest-neighbour n-state clock chains whose symmetry is enhanced to . As a consequence of the Onsager-algebra symmetry, the spectrum of these models possesses degeneracies with multiplicities 2 N for positive integer N. We construct the elements of the algebra e...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1088/1742-5468/ab11c0

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Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Theoretical Physics
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Theoretical Physics
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Theoretical Physics
Oxford college:
All Souls College
Role:
Author
Publisher:
IOP Science Publisher's website
Journal:
Journal of Statistical Mechanics: Theory and Experiment Journal website
Volume:
2019
Issue:
April 2019
Article number:
043107
Publication date:
2019-04-30
Acceptance date:
2019-03-05
DOI:
ISSN:
1742-5468
Source identifiers:
983594
Language:
English
Keywords:
Pubs id:
pubs:983594
UUID:
uuid:13a25851-b5ad-4035-ad44-d31f1124857e
Local pid:
pubs:983594
Deposit date:
2019-03-21

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