Kac-Moody theories for colored phase space (quantum Hall) droplets

Nuclear Physics B

Volumn 711, Issue 3, 2005, Pages 505-529

  Polychronakos, Alexios P ^a  

^a CITY COLLEGE OF NEW YORK   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 14844317294     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nuclphysb.2005.01.016     Document Type: Article

References (28)

1. S.R. Coleman Quantum sine-Gordon equation as the massive Thirring model Phys. Rev. D 11 1975 2088
2. S. Mandelstam Soliton operators for the quantized sine-Gordon equation Phys. Rep. 23 1976 307
3. A. Jevicki B. Sakita The quantum collective field method and its application to the planar limit Nucl. Phys. B 165 1980 511
4. S.R. Das A. Jevicki String field theory and physical interpretation of D = 1 strings Mod. Phys. Lett. A 5 1990 1639
5. E. Witten Non-Abelian bosonization in two dimensions Commun. Math. Phys. 92 1984 455
6. G.W. Semenoff Canonical quantum field theory with exotic statistics Phys. Rev. Lett. 61 1988 517
7. G.W. Semenoff P. Sodano Exotic spin and statistics in (2 + 1) -dimensional canonical quantum field theory Nucl. Phys. B 328 1989 753
8. T. Matsuyama Canonical structures and Bose-Fermi transmutations in (2+1)-dimensional u(1) gauge theories Phys. Lett. B 228 1989 99
9. J. Polchinski Classical limit of (1+1)-dimensional string theory Nucl. Phys. B 362 1991 125
10. A.P. Polychronakos Chiral actions from phase space (quantum Hall) droplets Nucl. Phys. B 705 2005 457 hep-th/0408194
11. D. Karabali V.P. Nair Quantum Hall effect in higher dimensions Nucl. Phys. B 641 2002 533 hep-th/0203264
12. D. Karabali V.P. Nair The effective action for edge states in higher-dimensional quantum Hall systems Nucl. Phys. B 679 2004 427 hep-th/0307281
13. S.C. Zhang J.P. Hu A four-dimensional generalization of the quantum Hall effect Science 294 2001 823 cond-mat/0110572
14. S.C. Zhang J.P. Hu Phys. Rev. B 41 1990 12838 cond-mat/0112432
15. B.A. Bernevig C.H. Chern J.P. Hu N. Toumbas S.C. Zhang Effective field theory description of the higher-dimensional quantum Hall liquid Ann. Phys. 300 2002 185 cond-mat/0206164
16. O. Agam E. Bettelheim P. Wiegmann A. Zabrodin Viscous fingering and a shape of an electronic droplet in the quantum Hall regime Phys. Rev. Lett. 88 2002 236802 cond-mat/0111333 and refereces therein
17. B. Sakita Collective variables of fermions and bosonization Phys. Lett. B 387 1996 118 hep-th/9607047
18. R. Ray B. Sakita Bulk and edge excitations of a ν = 1 Hall ferromagnet cond-mat/0105626
19. D. Karabali V.P. Nair Edge states for quantum Hall droplets in higher dimensions and a generalized WZW model hep-th/0403111
20. R. Jackiw V.P. Nair S.Y. Pi A.P. Polychronakos Perfect fluid theory and its extensions J. Phys. A 37 2004 R327 hep-ph/0407101
21. V.P. Nair J. Schiff A Kähler-Chern-Simons theory and quantization of instanton moduli spaces Phys. Lett. B 246 1990 423
22. V.P. Nair J. Schiff Kähler-Chern-Simons theory and symmetries of antiselfdual gauge fields Nucl. Phys. B 371 1992 329
23. A.P. Balachandran G. Marmo B.-S. Skagerstam A. Stern Gauge Symmetries and Fibre Bundles 1983 Springer-Verlag Berlin
24. C.H. Chou V.P. Nair A.P. Polychronakos On the electromagnetic interactions of anyons Phys. Lett. B 304 1993 105 hep-th/9301037
25. B. Bistrovic R. Jackiw H. Li V.P. Nair S.Y. Pi Non-Abelian fluid dynamics in Lagrangian formulation Phys. Rev. D 67 2003 025013 hep-th/ 0210143
26. L. Susskind The quantum Hall fluid and non-commutative Chern-Simons theory hep-th/0101029
27. A.P. Polychronakos Quantum Hall states as matrix Chern-Simons theory JHEP 0104 2001 011 hep-th/0103013
28. A.P. Polychronakos Quantum Hall states on the cylinder as unitary matrix Chern-Simons theory JHEP 0106 2001 070 hep-th/0106011