Quantum topological order
QuantumTopologicalOrder
2009-04-11 11:09:08
2009-04-11 11:09:08
Topic
quantum topological order
quantum extended symmetry
topology
order
topolgical order
symmetry
quantum topological order
\section{Quantum Topological Order and Extended Quantum Symmetries}
\begin{thebibliography}{99}
\bibitem{LMWX2k5}
Levin M. and Wen X-G., Colloquium: Photons and electrons as emergent phenomena, Rev. Mod. Phys. 77, Nu 12:19, 9 April 2009 (UTC)871 (2005), 4 pages; also, Quantum ether: Photons and electrons from a rotor model., arXiv:hep-th/0507118,2007.
\bibitem{YDN93}
Yetter D.N., TQFTs from homotopy 2-types, J. Knot Theory 2 (1993), 113--123.
Quantum field theory and the Jones polynomial,
\bibitem{WX90}
E. Witten, Comm. Math. Phys., 121, 351 (1989)
Vacuum Degeneracy of Chiral Spin State in Compactified Spaces, Xiao-Gang Wen, Phys. Rev. B, 40, 7387 (1989)
\bibitem{WX90}
Topological Orders in Rigid States, Xiao-Gang Wen, Int. J. Mod. Phys., B4, 239 (1990).
\bibitem{WXQN90}
Ground state degeneracy of the FQH states in presence of random potential and on high genus Riemann surfaces, Xiao-Gang Wen and Qian Niu, Phys. Rev. B41, 9377 (1990).
\bibitem{LMRB99}
Landsman N. P. and Ramazan B., Quantization of Poisson algebras associated to Lie algebroids, in Proc. Conf. on Groupoids in Physics, Analysis and Geometry(Boulder CO, 1999)', Editors J. Kaminker et al.,159{192 Contemp. Math. 282, Amer. Math. Soc., Providence RI, 2001,(also math--ph/001005.)
\bibitem{NAQAT2k8}
\PMlinkexternal{Non-Abelian Quantum Algebraic Topology (NAQAT)}{http://planetphysics.org/?op=getobj&from=lec&id=61} 20 Nov. (2008),87 pages, Baianu, I.C.
\bibitem{LO2k3}
Levin A. and Olshanetsky M., Hamiltonian Algebroids and deformations of complex structures on Riemann curves, hep-th/0301078v1.*Levin M. and Wen X-G., Fermions, strings, and gauge fields in lattice spin models., Phys. Rev. B 67, 245316, (2003), 4 pages.
\bibitem{LWX2k6}
Levin M. and Wen X-G., Detecting topological order in a ground state wave function., Phys. Rev. Letts.,96(11), 110405, (2006).
\bibitem{WXWH94}
Xiao-Gang Wen, Yong-Shi Wu and Y. Hatsugai., Chiral operator product algebra and edge excitations of a FQH droplet (pdf),Nucl. Phys. B422, 476 (1994): Used chiral operator product algebra to construct the bulk wave function, characterize the topological orders and calculate the edge states for some non-Abelian FQH states.
\bibitem{WXWu94}
Xiao-Gang Wen and Yong-Shi Wu., Chiral operator product algebra hidden in certain FQH states (pdf),Nucl. Phys. B419, 455 (1994): Demonstrated that non-Abelian topological orders are closely related to chiral operator product algebra (instead of conformal field theory).
\bibitem{NAT2k9}
The concept:\PMlinkname{Non-Abelian theory}{NonAbelianTheory}.
\bibitem{RBBG2k7}
R. Brown et al. A Non-Abelian, Categorical Ontology of Spacetimes and Quantum Gravity., Axiomathes, Volume 17, Numbers 3-4 / December, (2007), pages 353--408.,Springer,Netherlands,ISSN 1122-1151 (Print) 1572-8390 (Online). doi:10.1007/s10516-007-9012-1.
\bibitem{RBHS2k9}
Ronald Brown, Higgins, P. J. and R. Sivera,:(2009), Nonabelian Algebraic Topology., vols.1 and 2, Ch.U. Press, in press.
\bibitem{biblioCAT}
A Bibliography for Categories and Algebraic Topology Applications in Theoretical Physics Quantum Algebraic Topology (QAT)
\bibitem{WX2k4}
Wen X-G., Quantum Field Theory of Many Body Systems--From the Origin of Sound to an Origin of Light and Electrons, Oxford Univ. Press, Oxford, 2004.
\bibitem{CC2k5}
Chamon, C., Phys. Rev. Lett. 94, 040402 (2005),4 pages.,Quantum Glassiness in Strongly Correlated Clean Systems: An Example of Topological Overprotection
\end{thebibliography}