Space-time geometry of topological phases

Annals of Physics

Volumn 325, Issue 11, 2010, Pages 2550-2593

  Burnell, F J ^a,b   Simon, Steven H ^a  

^a UNIVERSITY OF OXFORD   (United Kingdom)

^b ALL SOULS COLLEGE   (United Kingdom)

Author keywords

Topological phases of matter; Topological quantum field theory

Indexed keywords

EID: 77956343376     PISSN: 00034916     EISSN: 1096035X     Source Type: Journal    
DOI: 10.1016/j.aop.2010.06.003     Document Type: Article

References (46)

1. Levin M.A., Wen X.-G. Phys. Rev. B 2005, 71:045110.
2. Witten E. Nucl. Phys. B 1988, 311:46. ISSN 0550-3213.
3. Witten E. Commun. Math. Phys. 1989, 121:351.
4. Moore G., Seiberg N. Commun. Math. Phys. 1989, 123:177.
5. Moore G., Read N. Nucl. Phys. B 1991, 360:362.
6. Fröhlich J., Gabbiani F. Rev. Math. Phys. 1990, 2:251.
7. Nayak C., Simon S.H., Stern A., Freedman M., Das Sarma S. Rev. Mod. Phys. 2008, 80:1083.
8. Freedman M.H. Proc. Natl. Acad. Sci. USA 1998, 95:98.
9. Kitaev A.Y. Ann. Phys. 2003, 303:2.
10. Moessner R., Sondhi S.L., Fradkin E. Phys. Rev. B 2002, 65:0254504.
11. Kitaev A.Y. Ann. Phys. (N.Y.) 2006, 321:2.
12. Fendley P. Ann. Phys. 2008, 323:3113.
13. Castelnovo C., Chamon C. Phys. Rev. B 2008, 77:054433.
14. Fradkin E., Shenker S.H. Phys. Rev. D 1979, 19:3682.
15. Ardonne E., Fendley P., Fradkin E. Ann. Phys. 2004, 310:493. ISSN 0003-4916.
16. Freedman M., Nayak C., Shtengel K., Walker K., Wang Z. Ann. Phys. (N.Y.) 2004, 310:428.
17. Reshetikhin N., Turaev V.G. Invent. Math. 1991, 103:547.
18. J. Roberts, Ph.D. Thesis, School of Cambridge University, 1994.
19. Martins J.F., Mikovic A. Commun. Math. Phys. 2008, 279:381.
20. Barrett J., Garcia-Islas J.M., Martins J.F. J. Math. Phys. 2007, 28:093508.
21. Turaev V., Viro O.Y. Topology 1992, 31:865.
22. Kadar Z., Marzuoli A., Rasetti M. Int. J. Quantum Inform. 2009, 7:195.
23. Gils C., Trebst S., Kitaev A., Ludwig A.W.W., Troyer M., Wang Z. Nat. Phys. 2009, 5:834. see also supplementary material.
24. Freedman M., Nayak C., Walker K., Wang Z. Topol. Phys. 2007, 12.
25. Levin M., Nave C.P. Phys. Rev. Lett. 2007, 99:120601.
26. Gu Z.-C., Levin M., Wen X.-G. Phys. Rev. B 2008, 78:205116.
27. Roberts J. Topology 1995, 34:771.
28. Laughlin R.B., Zou Z. Phys. Rev. B 1990, 41:664.
29. Wen X.G., Wilczek F., Zee A. Phys. Rev. B 1989, 39:11413.
30. Haldane F.D.M. Phys. Rev. Lett. 1988, 61:2015.
31. Eliezer D., Semenoff G.W. Phys. Lett. B 1992, 286:118. ISSN 0370-2693.
32. G. Dunne, Lectures at Les Houches Summer School, 1999, arxiv:hep-th/9902115.
33. P. Bonderson, Ph.D. Thesis, School of Caltech, 2007.
34. Wang Z. Topological Quantum Computation 2009, American Mathematical Society.
35. K. Walker, preprint (1991).
36. V. Turaev, preprint (1992).
37. Gompf R.E., Stipsicz A.I. 4-Manifolds and Kirby Calculus 1999, American Mathematical Society.
38. Lickorish W. Ann. Math. 1962, 76:531.
39. Lickorish W. Proc. Cambridge Philos. Soc. 1963, 59:307.
40. Wallace A.H. Can. J. Math. 1960, 12:503.
41. Oganesyan V., Hansson T.H., Sondhi S.L. Ann. Phys. 2004, 313:497.
42. Kassel C. Quantum Groups 1995, Springer, Berlin.
43. D.S. Freed (2008), arxiv:0808.2507.
44. Di Francesco P., Mathieu P., Sénéchal D. Conformal Field Theory 1997, Springer, Berlin.
45. Lickorish W.B. J. Knot Theor. Ram. 1993, 2:171.
46. Hagge T., Hong S. Commun. Contemp. Math. 2009, 11:615637.