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On the degeneracy of SU(3)k topological phases

Jordan, S. P. and Mansour, T. and Severini, S. (2012) On the degeneracy of SU(3)k topological phases. Russian Journal of Mathematical Physics, 19 (1). pp. 21-26. ISSN 1061-9208 . http://resolver.caltech.edu/CaltechAUTHORS:20120410-125549079

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Abstract

The ground state degeneracy of an SU(N)k topological phase with n quasiparticle excitations is a relevant quantity for quantum computation, condensed matter physics, and knot theory. It is an open question to find a closed formula for this degeneracy for any N > 2. Here we present the problem in an explicit combinatorial way and analyze the case N = 3. While not finding a complete closed-form solution, we obtain generating functions and solve some special cases.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1134/S1061920812010037 DOIUNSPECIFIED
http://www.springerlink.com/content/r038g32j39970111/PublisherUNSPECIFIED
Additional Information:© 2012 Pleiades Publishing, Ltd.. Received February 11, 2011. S. J. acknowledges support from the Sherman Fairchild Foundation and NSF grant PHY-0803371.
Funders:
Funding AgencyGrant Number
Sherman Fairchild FoundationUNSPECIFIED
NSFPHY-0803371
Record Number:CaltechAUTHORS:20120410-125549079
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20120410-125549079
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:30050
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:11 Apr 2012 20:39
Last Modified:23 Aug 2016 10:11

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