메뉴 건너뛰기




Volumn 540, Issue 3, 1999, Pages 610-638

Hamiltonian formulation of the W1+∞ minimal models

Author keywords

Conformal field theory; Quantum hall effect; W algebra

Indexed keywords


EID: 0033556959     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(98)00785-8     Document Type: Article
Times cited : (20)

References (66)
  • 1
    • 0003414482 scopus 로고
    • Springer, New York
    • For a review see R.A. Prange and S.M. Girvin, The Quantum Hall Effect (Springer, New York, 1990); S. Das Sarma and A. Pinczuk, Perspectives in Quantum Hall Effects (Wiley, New York, 1997).
    • (1990) The Quantum Hall Effect
    • Prange, R.A.1    Girvin, S.M.2
  • 3
    • 0001414946 scopus 로고
    • For a review see J.K. Jain, Adv. in Phys. 44 (1992) 105; Science 266 (1994) 1199.
    • (1992) Adv. in Phys. , vol.44 , pp. 105
    • Jain, J.K.1
  • 4
    • 0028153404 scopus 로고
    • For a review see J.K. Jain, Adv. in Phys. 44 (1992) 105; Science 266 (1994) 1199.
    • (1994) Science , vol.266 , pp. 1199
  • 5
    • 0001080950 scopus 로고
    • For a review, see X.G. Wen, Int. J. Mod. Phys. 6 B (1992) 1711; Adv. in Phys. 44 (1995) 405.
    • (1992) Int. J. Mod. Phys. , vol.6 B , pp. 1711
    • Wen, X.G.1
  • 6
    • 1542763507 scopus 로고
    • For a review, see X.G. Wen, Int. J. Mod. Phys. 6 B (1992) 1711; Adv. in Phys. 44 (1995) 405.
    • (1995) Adv. in Phys. , vol.44 , pp. 405
  • 7
    • 4243834465 scopus 로고
    • For a review see E. Fradkin and A. Lopez, Nucl. Phys. B (Proc. Suppl.) 33C (1993) 67.
    • (1993) Nucl. Phys. B , vol.33 C , Issue.PROC. SUPPL. , pp. 67
    • Fradkin, E.1    Lopez, A.2
  • 8
    • 22244440948 scopus 로고    scopus 로고
    • R.B. Laughlin, Phys. Rev. Lett. 50 (1983) 1395; For a review see R.B. Laughlin, Elementary Theory: The Incompressible Quantum Fluid, in [1].
    • (1983) Phys. Rev. Lett. , vol.50 , pp. 1395
    • Laughlin, R.B.1
  • 10
    • 0010882054 scopus 로고    scopus 로고
    • A.A. Belavin, A.M. Polyakov and A.B. Zamolodchikov, Nucl. Phys. B 241 (1984) 333; For a modern textbook, see P. Di Francesco, P. Mathieu and D. Senechal, Conformal Field Theories (Springer, Berlin, 1996).
    • (1984) Nucl. Phys. B , vol.241 , pp. 333
    • Belavin, A.A.1    Polyakov, A.M.2    Zamolodchikov, A.B.3
  • 12
    • 0001459907 scopus 로고
    • R.C. Ashoori, H.L. Stormer, L.N. Pfeiffer, K.W. Baldwin and K. West, Phys. Rev. B 45 (1992) 3894; F.P. Milliken, C.P. Umbach and R.A. Webb, Solid State Commun. 97 (1996) 309; Phys. Today 47 (1994) 21; V.J. Goldman and B. Su, Science 267 (1995) 1010; L. Saminadayar, D.C. Glattli, Y. Jin and B. Etienne, Phys. Rev. Lett. 79 (1997) 2526; R. de Picciotto, M. Reznikov, M. Heiblum, V. Umansky, G. Bunin and D. Mahalu, Nature 389 (1997)162.
    • (1992) Phys. Rev. B , vol.45 , pp. 3894
    • Ashoori, R.C.1    Stormer, H.L.2    Pfeiffer, L.N.3    Baldwin, K.W.4    West, K.5
  • 13
    • 0029736481 scopus 로고    scopus 로고
    • R.C. Ashoori, H.L. Stormer, L.N. Pfeiffer, K.W. Baldwin and K. West, Phys. Rev. B 45 (1992) 3894; F.P. Milliken, C.P. Umbach and R.A. Webb, Solid State Commun. 97 (1996) 309; Phys. Today 47 (1994) 21; V.J. Goldman and B. Su, Science 267 (1995) 1010; L. Saminadayar, D.C. Glattli, Y. Jin and B. Etienne, Phys. Rev. Lett. 79 (1997) 2526; R. de Picciotto, M. Reznikov, M. Heiblum, V. Umansky, G. Bunin and D. Mahalu, Nature 389 (1997)162.
    • (1996) Solid State Commun. , vol.97 , pp. 309
    • Milliken, F.P.1    Umbach, C.P.2    Webb, R.A.3
  • 14
    • 4243823628 scopus 로고
    • R.C. Ashoori, H.L. Stormer, L.N. Pfeiffer, K.W. Baldwin and K. West, Phys. Rev. B 45 (1992) 3894; F.P. Milliken, C.P. Umbach and R.A. Webb, Solid State Commun. 97 (1996) 309; Phys. Today 47 (1994) 21; V.J. Goldman and B. Su, Science 267 (1995) 1010; L. Saminadayar, D.C. Glattli, Y. Jin and B. Etienne, Phys. Rev. Lett. 79 (1997) 2526; R. de Picciotto, M. Reznikov, M. Heiblum, V. Umansky, G. Bunin and D. Mahalu, Nature 389 (1997)162.
    • (1994) Phys. Today , vol.47 , pp. 21
  • 15
    • 0344707473 scopus 로고
    • R.C. Ashoori, H.L. Stormer, L.N. Pfeiffer, K.W. Baldwin and K. West, Phys. Rev. B 45 (1992) 3894; F.P. Milliken, C.P. Umbach and R.A. Webb, Solid State Commun. 97 (1996) 309; Phys. Today 47 (1994) 21; V.J. Goldman and B. Su, Science 267 (1995) 1010; L. Saminadayar, D.C. Glattli, Y. Jin and B. Etienne, Phys. Rev. Lett. 79 (1997) 2526; R. de Picciotto, M. Reznikov, M. Heiblum, V. Umansky, G. Bunin and D. Mahalu, Nature 389 (1997)162.
    • (1995) Science , vol.267 , pp. 1010
    • Goldman, V.J.1    Su, B.2
  • 16
    • 0001424866 scopus 로고    scopus 로고
    • R.C. Ashoori, H.L. Stormer, L.N. Pfeiffer, K.W. Baldwin and K. West, Phys. Rev. B 45 (1992) 3894; F.P. Milliken, C.P. Umbach and R.A. Webb, Solid State Commun. 97 (1996) 309; Phys. Today 47 (1994) 21; V.J. Goldman and B. Su, Science 267 (1995) 1010; L. Saminadayar, D.C. Glattli, Y. Jin and B. Etienne, Phys. Rev. Lett. 79 (1997) 2526; R. de Picciotto, M. Reznikov, M. Heiblum, V. Umansky, G. Bunin and D. Mahalu, Nature 389 (1997)162.
    • (1997) Phys. Rev. Lett. , vol.79 , pp. 2526
    • Saminadayar, L.1    Glattli, D.C.2    Jin, Y.3    Etienne, B.4
  • 17
    • 0030760945 scopus 로고    scopus 로고
    • R.C. Ashoori, H.L. Stormer, L.N. Pfeiffer, K.W. Baldwin and K. West, Phys. Rev. B 45 (1992) 3894; F.P. Milliken, C.P. Umbach and R.A. Webb, Solid State Commun. 97 (1996) 309; Phys. Today 47 (1994) 21; V.J. Goldman and B. Su, Science 267 (1995) 1010; L. Saminadayar, D.C. Glattli, Y. Jin and B. Etienne, Phys. Rev. Lett. 79 (1997) 2526; R. de Picciotto, M. Reznikov, M. Heiblum, V. Umansky, G. Bunin and D. Mahalu, Nature 389 (1997) 162.
    • (1997) Nature , vol.389 , pp. 162
    • De Picciotto, R.1    Reznikov, M.2    Heiblum, M.3    Umansky, V.4    Bunin, G.5    Mahalu, D.6
  • 18
    • 0039956654 scopus 로고
    • J. Fröhlich and A. Zee, Nucl. Phys. 364 B (1991) 517; X.-G. Wen and A. Zee, Phys. Rev. 46 B (1993) 2290; J. Fröhlich and E. Thiran, J. Stat. Phys. 76 (1994) 209; J. Fröhlich, T. Kerler, U.M. Studer and E. Thiran, Nucl. Phys. B 453 (1995) 670.
    • (1991) Nucl. Phys. , vol.364 B , pp. 517
    • Fröhlich, J.1    Zee, A.2
  • 19
    • 5244278223 scopus 로고
    • J. Fröhlich and A. Zee, Nucl. Phys. 364 B (1991) 517; X.-G. Wen and A. Zee, Phys. Rev. 46 B (1993) 2290; J. Fröhlich and E. Thiran, J. Stat. Phys. 76 (1994) 209; J. Fröhlich, T. Kerler, U.M. Studer and E. Thiran, Nucl. Phys. B 453 (1995) 670.
    • (1993) Phys. Rev. , vol.46 B , pp. 2290
    • Wen, X.-G.1    Zee, A.2
  • 20
    • 21844526807 scopus 로고
    • J. Fröhlich and A. Zee, Nucl. Phys. 364 B (1991) 517; X.-G. Wen and A. Zee, Phys. Rev. 46 B (1993) 2290; J. Fröhlich and E. Thiran, J. Stat. Phys. 76 (1994) 209; J. Fröhlich, T. Kerler, U.M. Studer and E. Thiran, Nucl. Phys. B 453 (1995) 670.
    • (1994) J. Stat. Phys. , vol.76 , pp. 209
    • Fröhlich, J.1    Thiran, E.2
  • 21
    • 0000972949 scopus 로고
    • J. Fröhlich and A. Zee, Nucl. Phys. 364 B (1991) 517; X.-G. Wen and A. Zee, Phys. Rev. 46 B (1993) 2290; J. Fröhlich and E. Thiran, J. Stat. Phys. 76 (1994) 209; J. Fröhlich, T. Kerler, U.M. Studer and E. Thiran, Nucl. Phys. B 453 (1995) 670.
    • (1995) Nucl. Phys. B , vol.453 , pp. 670
    • Fröhlich, J.1    Kerler, T.2    Studer, U.M.3    Thiran, E.4
  • 23
    • 0001286740 scopus 로고    scopus 로고
    • A. Cappelli, C.A. Trugenberger and G.R. Zemba, Nucl. Phys. 448 (1995) 470; for a review, see Nucl. Phys. (Proc. Suppl.) B 45A (1996) 112.
    • (1996) Nucl. Phys. , vol.45 A , Issue.PROC. SUPPL. B , pp. 112
  • 24
    • 0001105462 scopus 로고
    • A. Cappelli, C.A. Trugenberger and G.R. Zemba, Nucl. Phys. 396 B (1993) 465, Phys. Lett. 306 B (1993) 100; for a review, see A. Cappelli, G.V. Dunne, C.A. Trugenberger and G.R. Zemba, Nucl. Phys. B (Proc. Suppl.) 33 C (1993) 21.
    • (1993) Nucl. Phys. , vol.396 B , pp. 465
    • Cappelli, A.1    Trugenberger, C.A.2    Zemba, G.R.3
  • 25
    • 0001105462 scopus 로고
    • A. Cappelli, C.A. Trugenberger and G.R. Zemba, Nucl. Phys. 396 B (1993) 465, Phys. Lett. 306 B (1993) 100; for a review, see A. Cappelli, G.V. Dunne, C.A. Trugenberger and G.R. Zemba, Nucl. Phys. B (Proc. Suppl.) 33 C (1993) 21.
    • (1993) Phys. Lett. , vol.306 B , pp. 100
  • 26
    • 33846149869 scopus 로고
    • A. Cappelli, C.A. Trugenberger and G.R. Zemba, Nucl. Phys. 396 B (1993) 465, Phys. Lett. 306 B (1993) 100; for a review, see A. Cappelli, G.V. Dunne, C.A. Trugenberger and G.R. Zemba, Nucl. Phys. B (Proc. Suppl.) 33 C (1993) 21.
    • (1993) Nucl. Phys. B , vol.33 C , Issue.PROC. SUPPL. , pp. 21
    • Cappelli, A.1    Dunne, G.V.2    Trugenberger, C.A.3    Zemba, G.R.4
  • 27
    • 0001560893 scopus 로고
    • S. Iso, D. Karabali and B. Sakita, Nucl. Phys. B 388 (1992) 700; Phys. Lett. B 296 (1992) 143; D. Karabali, Nucl. Phys. B 419 (1994) 437; B 428 (1994) 531; M. Flohr and R. Varnhagen, J. Phys. A 27 (1994) 3999.
    • (1992) Nucl. Phys. B , vol.388 , pp. 700
    • Iso, S.1    Karabali, D.2    Sakita, B.3
  • 28
    • 0010926102 scopus 로고
    • S. Iso, D. Karabali and B. Sakita, Nucl. Phys. B 388 (1992) 700; Phys. Lett. B 296 (1992) 143; D. Karabali, Nucl. Phys. B 419 (1994) 437; B 428 (1994) 531; M. Flohr and R. Varnhagen, J. Phys. A 27 (1994) 3999.
    • (1992) Phys. Lett. B , vol.296 , pp. 143
  • 29
    • 0000341378 scopus 로고
    • S. Iso, D. Karabali and B. Sakita, Nucl. Phys. B 388 (1992) 700; Phys. Lett. B 296 (1992) 143; D. Karabali, Nucl. Phys. B 419 (1994) 437; B 428 (1994) 531; M. Flohr and R. Varnhagen, J. Phys. A 27 (1994) 3999.
    • (1994) Nucl. Phys. B , vol.419 , pp. 437
    • Karabali, D.1
  • 30
    • 4243994236 scopus 로고
    • S. Iso, D. Karabali and B. Sakita, Nucl. Phys. B 388 (1992) 700; Phys. Lett. B 296 (1992) 143; D. Karabali, Nucl. Phys. B 419 (1994) 437; B 428 (1994) 531; M. Flohr and R. Varnhagen, J. Phys. A 27 (1994) 3999.
    • (1994) Nucl. Phys. B , vol.428 , pp. 531
  • 31
    • 21344494060 scopus 로고
    • S. Iso, D. Karabali and B. Sakita, Nucl. Phys. B 388 (1992) 700; Phys. Lett. B 296 (1992) 143; D. Karabali, Nucl. Phys. B 419 (1994) 437; B 428 (1994) 531; M. Flohr and R. Varnhagen, J. Phys. A 27 (1994) 3999.
    • (1994) J. Phys. A , vol.27 , pp. 3999
    • Flohr, M.1    Varnhagen, R.2
  • 34
    • 18844422980 scopus 로고
    • V. Kac and A. Radul, Comm. Math. Phys. 157 (1993) 429; E. Frenkel, V. Kac, A. Radul and W. Wang, Comm. Math. Phys. 170 (1995) 337; H. Awata, M. Fukuma, Y. Matsuo and S. Odake, Prog. Theor. Phys. (Supp.) 118 (1995) 343.
    • (1993) Comm. Math. Phys. , vol.157 , pp. 429
    • Kac, V.1    Radul, A.2
  • 35
    • 34249762527 scopus 로고
    • V. Kac and A. Radul, Comm. Math. Phys. 157 (1993) 429; E. Frenkel, V. Kac, A. Radul and W. Wang, Comm. Math. Phys. 170 (1995) 337; H. Awata, M. Fukuma, Y. Matsuo and S. Odake, Prog. Theor. Phys. (Supp.) 118 (1995) 343.
    • (1995) Comm. Math. Phys. , vol.170 , pp. 337
    • Frenkel, E.1    Kac, V.2    Radul, A.3    Wang, W.4
  • 36
    • 18844422980 scopus 로고
    • V. Kac and A. Radul, Comm. Math. Phys. 157 (1993) 429; E. Frenkel, V. Kac, A. Radul and W. Wang, Comm. Math. Phys. 170 (1995) 337; H. Awata, M. Fukuma, Y. Matsuo and S. Odake, Prog. Theor. Phys. (Supp.) 118 (1995) 343.
    • (1995) Prog. Theor. Phys. , vol.118 , Issue.SUPPL. , pp. 343
    • Awata, H.1    Fukuma, M.2    Matsuo, Y.3    Odake, S.4
  • 40
    • 0000800414 scopus 로고
    • A.M. Polyakov, Int. J. Mod. Phys. A 5 (1990) 833; M. Bershadsky, Comm. Math. Phys. 139 (1991) 71; V.A. Fateev and S.L. Lukyanov, Int. J. Mod. Phys. A 7 (1992) 853, 1325; F. Delduc, L. Frappat, E. Ragoucy and P. Sorba, General Properties of Classica W Algebras, Proc. of XXII Int. C. on Differential Methods in Theoretical Physics, Ixtapa, Mexico, Sept. 1993, hep-th/9312041; Phys. Lett. B335 (1994) 151.
    • (1990) Int. J. Mod. Phys. A , vol.5 , pp. 833
    • Polyakov, A.M.1
  • 41
    • 0002370172 scopus 로고
    • A.M. Polyakov, Int. J. Mod. Phys. A 5 (1990) 833; M. Bershadsky, Comm. Math. Phys. 139 (1991) 71; V.A. Fateev and S.L. Lukyanov, Int. J. Mod. Phys. A 7 (1992) 853, 1325; F. Delduc, L. Frappat, E. Ragoucy and P. Sorba, General Properties of Classica W Algebras, Proc. of XXII Int. C. on Differential Methods in Theoretical Physics, Ixtapa, Mexico, Sept. 1993, hep-th/9312041; Phys. Lett. B335 (1994) 151.
    • (1991) Comm. Math. Phys. , vol.139 , pp. 71
    • Bershadsky, M.1
  • 42
    • 0000555564 scopus 로고
    • A.M. Polyakov, Int. J. Mod. Phys. A 5 (1990) 833; M. Bershadsky, Comm. Math. Phys. 139 (1991) 71; V.A. Fateev and S.L. Lukyanov, Int. J. Mod. Phys. A 7 (1992) 853, 1325; F. Delduc, L. Frappat, E. Ragoucy and P. Sorba, General Properties of Classica W Algebras, Proc. of XXII Int. C. on Differential Methods in Theoretical Physics, Ixtapa, Mexico, Sept. 1993, hep-th/9312041; Phys. Lett. B335 (1994) 151.
    • (1992) Int. J. Mod. Phys. A , vol.7 , pp. 853
    • Fateev, V.A.1    Lukyanov, S.L.2
  • 44
    • 0041114192 scopus 로고
    • A.M. Polyakov, Int. J. Mod. Phys. A 5 (1990) 833; M. Bershadsky, Comm. Math. Phys. 139 (1991) 71; V.A. Fateev and S.L. Lukyanov, Int. J. Mod. Phys. A 7 (1992) 853, 1325; F. Delduc, L. Frappat, E. Ragoucy and P. Sorba, General Properties of Classica W Algebras, Proc. of XXII Int. C. on Differential Methods in Theoretical Physics, Ixtapa, Mexico, Sept. 1993, hep-th/9312041; Phys. Lett. B335 (1994) 151.
    • (1994) Phys. Lett. , vol.B335 , pp. 151
  • 46
    • 0000653459 scopus 로고
    • F.D.M. Haldane, Z.N.C. Ha, J.C. Talstra, D. Bernard and V. Pasquier, Phys. Rev. Lett. 69 (1992) 2021; D. Bernard, V. Pasquier and D. Serban, Nucl. Phys. B 428 (1994) 612.
    • (1994) Nucl. Phys. B , vol.428 , pp. 612
    • Bernard, D.1    Pasquier, V.2    Serban, D.3
  • 50
    • 4244157776 scopus 로고
    • C. Itzykson, Nucl. Phys. (Proc. Suppl.) 5 B (1988) 150.
    • (1988) Nucl. Phys. , vol.5 B , Issue.PROC. SUPPL. , pp. 150
    • Itzykson, C.1
  • 55
    • 0000371265 scopus 로고
    • G. Felder, Nucl. Phys. B 317 (1989) 215; B 324 (1989) 548 (E); For a review see, L. Alvarez-Gaume, G. Sierra, C. Gomez, Topics in conformal field theory, inKnizhnik Memorial Volume, ed. L. Brink et al. (World Scientific, Singapore, 1990).
    • (1989) Nucl. Phys. B , vol.317 , pp. 215
    • Felder, G.1
  • 56
    • 85045822025 scopus 로고
    • G. Felder, Nucl. Phys. B 317 (1989) 215; B 324 (1989) 548 (E); For a review see, L. Alvarez-Gaume, G. Sierra, C. Gomez, Topics in conformal field theory, inKnizhnik Memorial Volume, ed. L. Brink et al. (World Scientific, Singapore, 1990).
    • (1989) Nucl. Phys. B , vol.324 , pp. 548
  • 57
    • 0000371265 scopus 로고
    • Topics in conformal field theory
    • ed. L. Brink et al. World Scientific, Singapore
    • G. Felder, Nucl. Phys. B 317 (1989) 215; B 324 (1989) 548 (E); For a review see, L. Alvarez-Gaume, G. Sierra, C. Gomez, Topics in conformal field theory, in Knizhnik Memorial Volume, ed. L. Brink et al. (World Scientific, Singapore, 1990).
    • (1990) Knizhnik Memorial Volume
    • Alvarez-Gaume, L.1    Sierra, G.2    Gomez, C.3
  • 58
    • 0001549186 scopus 로고    scopus 로고
    • M. Milovanović and N. Read, Phys. Rev. B 53 (1996) 13559; C. Nayak and F. Wilczek, Nucl. Phys. B 479 (1996) 529; N. Read and R.H. Rezayi, Phys. Rev. B 56 (1996) 16864.
    • (1996) Phys. Rev. B , vol.53 , pp. 13559
    • Milovanović, M.1    Read, N.2
  • 59
    • 0030592675 scopus 로고    scopus 로고
    • M. Milovanović and N. Read, Phys. Rev. B 53 (1996) 13559; C. Nayak and F. Wilczek, Nucl. Phys. B 479 (1996) 529; N. Read and R.H. Rezayi, Phys. Rev. B 56 (1996) 16864.
    • (1996) Nucl. Phys. B , vol.479 , pp. 529
    • Wilczek, F.1
  • 60
    • 0000434548 scopus 로고    scopus 로고
    • M. Milovanović and N. Read, Phys. Rev. B 53 (1996) 13559; C. Nayak and F. Wilczek, Nucl. Phys. B 479 (1996) 529; N. Read and R.H. Rezayi, Phys. Rev. B 56 (1996) 16864.
    • (1996) Phys. Rev. B , vol.56 , pp. 16864
    • Read, N.1    Rezayi, R.H.2
  • 63
    • 85034160375 scopus 로고    scopus 로고
    • cond-mat/9710305
    • C. de C. Chamon, D.E. Freed, S.A. Kivelson, S.L. Sondhi and X.G. Wen, Phys. Rev. B 55 (1997) 2331; C. Nayak, M.P.A. Fisher, A.W.W. Ludwig and H.-H. Lin, cond-mat/9710305.
    • Nayak, C.1    Fisher, M.P.A.2    Ludwig, A.W.W.3    Lin, H.-H.4
  • 66
    • 0004062745 scopus 로고
    • Addison-Wesley, New York
    • S. Wolfram, Mathematica (Addison-Wesley, New York, 1991).
    • (1991) Mathematica
    • Wolfram, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.