Finite noncommutative chern-simons with a wilson line and the quantum hall effect

Journal of High Energy Physics

Volumn 5, Issue 7, 2001, Pages 1-14

  Morariu, Bogdan ^a   Polychronakos, Alexios P ^a  

^a ROCKEFELLER UNIVERSITY   (United States)

Author keywords

Chern Simons Theories; M(atrix) Theories; Non Commutative Geometry

Indexed keywords

EID: 33744762510     PISSN: 10298479     EISSN: None     Source Type: Journal    
DOI: 10.1088/1126-6708/2001/07/006     Document Type: Article

References (27)

1. L. Susskind, The quantum Hall fluid and non-commutative Chern Simons theory, hep-th/0101029.
2. G. Dunne, R. Jackiw and C. Trugenberger, ’Topological’ (Chern-Simons) quantum mechanics, Phys. Rev. D 41 (1990) 661;
3. G. Dunne and R. Jackiw, ’Peierls substitution’ and Chern-Simons quantum mechanics, Nucl. Phys. 33C (Proc. Suppl.) (1993) 114 [hep-th/9204057].
4. S. Deser, R. Jackiw and S. Templeton, Three-dimensional massive gauge theories, Phys. Rev. Lett. 48 (1982) 975;
5. Topologically massive gauge theories, Ann. Phys. (NY) 140 (1982) 372.
6. R. B. Laughlin, The quantum Hall effect, R. E. Prange and S. M. Girvin eds.
7. S. M. Girvin, The quantum Hall effect: novel excitations and broken symmetries, cond-mat/9907002.
8. A.P. Polychronakos, Quantum hall states as matrix Chern-Simons theory, J. High Energy Phys. 04 (2001) 011 [hep-th/0103013].
9. X.G. Wen, Chiral luttinger liquid and the edge excitations in the fractional quantum Hall states, Phys. Rev. B 41 (1990) 12838.
10. S. Iso, D. Karabali and B. Sakita, One-dimensional fermions as two-dimensional droplets via Chern-Simons theory, Nucl. Phys. B 388 (1992) 700 [hep-th/9202012];
11. Fermions in the lowest landau level: bosonization, w(infinity) algebra, droplets, chiral bosons, Phys. Lett. B 296 (1992) 143 [hep-th/9209003].
12. V.P. Nair and A.P. Polychronakos, On level quantization for the noncommutative Chern-Simons theory, hep-th/0102181.
13. D. Bak, K. Lee and J.-H. Park, Chern-Simons theories on noncommutative plane, hep-th/0102188.
14. A.P. Polychronakos, Quantum hall states on the cylinder as unitary matrix Chern-Simons theory, hep-th/0106011.
15. S. Hellerman and M.V. Raamsdonk, Quantum hall physics equals noncommutative field theory, hep-th/0103179.
16. D. Karabali and B. Sakita, Chern-Simons matrix model: coherent states and relation to laughlin wavefunctions, hep-th/0106016.
17. A.P. Polychronakos, Integrable systems from gauged matrix models, Phys. Lett. B 266 (1991) 29.
18. A. P. Balachandran, G. Marmo, B. S. Skagerstam and A. Stern, Gauge symmetries and fiber bundles, Springer, Berlin 1983;
19. �Classical topology and quantum states, World Scientific, Singapore 1991.
20. A.P. Polychronakos, Noncommutative Chern-Simons terms and the noncommutative vacuum, J. High Energy Phys. 11 (2000) 008 [hep-th/0010264].
21. A.P. Polychronakos, Generalized statistics in one dimension, hep-th/9902157.
22. B. Kostant, Lecture Notes in Mathematics, vol. 170 Springer 1970;
23. A. A. Kirillov, Elements of the theory of representations, Springer Berlin, Heidleberg, New York 1976.
24. G. Alexanian, A.P. Balachandran, G. Immirzi and B. Ydri, Fuzzy CP(2), hep-th/0103023.
25. B. Morariu, Path integral quantization of the symplectic leaves of the SU(2) Poisson-Lie group, Int. J. Mod. Phys. A 14 (1999) 919 [physics/9710010].
26. J.A. Minahan and A.P. Polychronakos, Interacting fermion systems from two-dimensional QCD, Phys. Lett. B 326 (1994) 288 [hep-th/9309044].
27. J. Avan and A. Jevicki, Collective field theory of the matrix-vector models, Nucl. Phys. B 469 (1996) 287 [hep-th/9512147].