Jain states on a torus: An unifying description

Journal of High Energy Physics

Volumn 8, Issue 6, 2004, Pages 1383-1410

  Cristofano, Gerardo ^a   Marotta, Vincenzo ^a   Niccoli, Giuliano ^b  

^a UNIVERSITY OF NAPLES FEDERICO II   (Italy)

^b SEZIONE DI TRIESTE   (Italy)

Author keywords

Conformal and W Symmetry; Field Theories in Lower Dimensions

Indexed keywords

EID: 23044512081     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2004/06/056     Document Type: Article

References (46)

1. G. Cristofano, G. Maiella and V. Marotta, A twisted conformal field theory description of the quantum Hall effect, Mod. Phys. Lett. A 15 (2000) 547 cond-mat/9912287.
2. J. Fröhlich and A. Zee, Large scale physics of the quantum Hall fluid, Nucl. Phys. B 364 (1991) 517;
3. J. Frohlich and E. Thiran, J. Stat. Phys. 76 (1994) 209;
4. J. Frohlich, T. Kerler, U.M. Studer and E. Thiran, Structure the set of imcompressible quantum Hall fluids, Nucl. Phys. B 453 (1995) 670.
5. A. Cappelli and G.R. Zemba, Modular invariant partition functions in the quantum Hall effect, Nucl. Phys. B 490 (1997) 595 [hep-th/9605127].
6. For a review, see: X.G. Wen, Adv. Phys. 44 (1995) 405.
7. For a review see: M. Stone, The quantum Hall effect, World Scientific, Singapore 1992.
8. R.B. Laughlin, Anomalous quantum Hall effect: an incompressible quantum fluid with fractionally charged excitations, Phys. Rev. Lett. 50 (1983) 1395;
9. For a review see: R.B. Laughlin, Elementary theory: the incompressible quantum fluid, in The quantum Hall effect, R. A Prange et al. eds., Springer Verlag, New York 1990.
10. S. Fubini and C.A. Lutken, Vertex operators in the fractional quantum Hall effect, Mod. Phys. Lett. A 6 (1991) 487;
11. G. Cristofano, G. Maiella, R. Musto and F. Nicodemi, Coulomb gas approach to quantum Hall effect, Phys. Lett. B 262 (1991) 88.
12. 1+∞ minimal models, Nucl. Phys. B 448 (1995) 470 [hep-th/9502021];
13. 1+∞ minimal models and the hierarchy of the quantum Hall effect, Nucl. Phys. B45A (Proc. Suppl.) (1996) 112;
14. 1+∞ minimal models, Nucl. Phys. B 540 (1999) 610 [hep-th/9808179].
15. M. Fukuma, H. Kawai and R. Nakayama, Infinite dimensional grassmannian structure of two-dimensional quantum gravity, Commun. Math. Phys. 143 (1992) 371.
16. 1+∞ algebra, J. Phys. A 29 (1996) 5565.
17. V. Marotta, Relation between covariant and parafermionic construction of affine Kac-Moody algebras, J. Phys. A 26 (1993) 3481;
18. Stress tensor for parafermions by the generalized Frenkel-Kac construction of affine algebras, Mod. Phys. Lett. A 13 (1998) 853 [hep-th/9712031;
19. k structure of generalized Frenkel-Kac construction for SU(2) level K Kac-Moody algebra, Nucl. Phys. B 527 (1998) 717;
20. k-surfaces with exchange interactions, Mod. Phys. Lett. A 13 (1998) 2863;
21. L. Cappiello, G. Cristofano, G. Maiella and V. Marotta, Tunneling effects in a brane system and quantum Hall physics, Mod. Phys. Lett. A 17 (2002) 1281 [hep-th/0101033].
22. G. Cristofano, G. Maiella and V. Marotta, A conformal field theory description of the paired and parafermionic states in the quantum Hall effect, Mod. Phys. Lett. A 15 (2000) 1679.
23. G. Cristofano, G. Maiella, V. Marotta and G. Niccoli, Paired states on a torus, Nucl. Phys. B 641 (2002) 547 [cond-mat/0204575].
24. 1+∞, Commun. Math. Phys. 190 (1997) 57 [hep-th/9612078].
25. 1+∞ minimal modeb in the hierarchical quantum Hall effect, Int. J. Mod. Phys. A 15 (2000) 915 [hep-th/9902026].
26. V. Pasquier and D. Serban, Conformal field theory and edge excitations for the principal series of quantum Hall fluids, Phys. Rev. B 63 (2001) 153311 [cond-mat/9912218].
27. B.I. Halperin, Helv. Phys. Acta 56 (1983) 1031.
28. X.-G. Wen and A. Zee, A classification of abelian quantum Hall states and matrix formulation of topological fluids, Phys. Rev. B 46 (1993) 2290.
29. X.-G. Wen, Adv. Phys. 44 (1995) 405.
30. G. Cristofano, G. Maiella, R. Musto and F. Nicodemi, The quantum Hall effect at arbitrary rational filling: a proposal, Mod. Phys. Lett. A 7 (1992) 2583.
31. A. De Martino and R. Musto, Int. J. Mod. Phys. A 9 (1995) 2839.
32. P. Di Francesco, P. Mathieu and D. Senechal, Conformal field theories, Springer-Verlag, Berlino 1996.
33. P. Bouwknegt and K. Schoutens, W symmetry in conformal field theory, Phys. Rept. 223 (1993) 183 [hep-th/9210010].
34. V. Kac and A. Radul, Quasifinite highest weight modules over the Lie algebra of differential operators on the circle, Commun. Math. Phys. 157 (1993) 429;
35. N) with central charge N, Commun. Math. Phys. 170 (1995) 337;
36. 1+∞ algebra, Prog. Theor. Phys. Suppl. 118 (1995) 343 [hep-th/9408158].
37. A. Cappelli, C.A. Trugenberger and G.R. Zemba, Infinite symmetry in the quantum Hall effect, Nucl. Phys. B 396 (1993) 465 [hep-th/9206027];
38. 1+∞ symmetry, Phys. Rev. Lett. 72 (1994) 1902 [hep-th/9310181].
39. V.A. Fateev and A.B. Zamolodchikov, Parafermionic currents in the two-dimensional conformal quantum field theory and selfdual critical points in Z(N) invariant statistical systems, Sov. Phys. JETP 62 (1985) 215;
40. V.A. Fateev and A.B. Zamolodchikov, Conformal quantum field theory models in two-dimensions having Z(3) symmetry, Nucl. Phys. B 280 (1987) 644;
41. V.A. Fateev and S.L. Lukyakhov, The models of two-dimensional conformal quantum field theory with Z(N) symmetry, Int. J. Mod. Phys. A 3 (1988) 507.
42. R. Dijkgraaf, C. Vafa, E. Verlinde and H. Verlinde, The operator algebra of orbifold models, Commun. Math. Phys. 123 (1989) 485;
43. P. Ginsparg, Applied conformal field theory, in Fields, strings and critical phenomena, Les Houches 1988, Brezin and J. Zinn-Justin eds., North Holland 1990, pp 1-168.
44. J.D. Naud, L.P. Pryadko and S.L. Sondhi, Quantum Hall bilayers and the chiral Sine-Gordon equation, Nucl. Phys. B 565 (2000) 572 [cond-mat/9908188].
45. G. Cristofano, V. Marotta and A. Naddeo, Twisted CFT and bilayer quantum Hall systems in the presence of an impurity, Phys. Lett. B 571 (2003) 250 [hep-th/0212318];
46. A twisted conformal field theory description of dissipative quantum mechanics, Nucl. Phys. B 679 (2004) 621 [hep-th/0306219].