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Microscopic Description of 2D Topological Phases, Duality, and 3D State Sums
Joint Authors
Rasetti, Mario
Marzuoli, Annalisa
Kádár, Zoltán
Source
Advances in Mathematical Physics
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-04-11
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
Doubled topological phases introduced by Kitaev, Levin, and Wen supported on two-dimensional lattices are Hamiltonian versions of three-dimensional topological quantum field theories described by the Turaev-Viro state sum models.
We introduce the latter with an emphasis on obtaining them from theories in the continuum.
Equivalence of the previous models in the ground state is shown in case of the honeycomb lattice and the gauge group being a finite group by means of the well-known duality transformation between the group algebra and the spin network basis of lattice gauge theory.
An analysis of the ribbon operators describing excitations in both types of models and the three-dimensional geometrical interpretation are given.
American Psychological Association (APA)
Kádár, Zoltán& Marzuoli, Annalisa& Rasetti, Mario. 2010. Microscopic Description of 2D Topological Phases, Duality, and 3D State Sums. Advances in Mathematical Physics،Vol. 2010, no. 2010, pp.1-18.
https://search.emarefa.net/detail/BIM-489163
Modern Language Association (MLA)
Kádár, Zoltán…[et al.]. Microscopic Description of 2D Topological Phases, Duality, and 3D State Sums. Advances in Mathematical Physics No. 2010 (2010), pp.1-18.
https://search.emarefa.net/detail/BIM-489163
American Medical Association (AMA)
Kádár, Zoltán& Marzuoli, Annalisa& Rasetti, Mario. Microscopic Description of 2D Topological Phases, Duality, and 3D State Sums. Advances in Mathematical Physics. 2010. Vol. 2010, no. 2010, pp.1-18.
https://search.emarefa.net/detail/BIM-489163
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-489163