메뉴 건너뛰기




Volumn 612, Issue 3, 2001, Pages 229-290

Quantum groups and non-Abelian braiding in quantum Hall systems

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0035486388     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(01)00308-X     Document Type: Article
Times cited : (117)

References (58)
  • 1
    • 0000011912 scopus 로고    scopus 로고
    • Beyond paired quantum Hall states: Parafermions and incompressible states in the first excited Landau level
    • Read N., Rezayi E. Beyond paired quantum Hall states: parafermions and incompressible states in the first excited Landau level. Phys. Rev. B. 59:(12):1999;8084-8092 cond-mat/9809384.
    • (1999) Phys. Rev. B , vol.59 , Issue.12 , pp. 8084-8092
    • Read, N.1    Rezayi, E.2
  • 2
    • 0030592675 scopus 로고    scopus 로고
    • n-1 -dimensional spinor braiding statistics in paired quantum Hall states
    • n-1 -dimensional spinor braiding statistics in paired quantum Hall states. Nucl. Phys. B. 479:1996;529-553 cond-mat/9605145.
    • (1996) Nucl. Phys. B , vol.479 , pp. 529-553
    • Nayak, C.1    Wilczek, F.2
  • 3
    • 3943095660 scopus 로고
    • Spin-singlet wave-function for the half-integral quantum Hall effect
    • Haldane F., Rezayi E. Spin-singlet wave-function for the half-integral quantum Hall effect. Phys. Rev. Lett. 60:1988;956.
    • (1988) Phys. Rev. Lett. , vol.60 , pp. 956
    • Haldane, F.1    Rezayi, E.2
  • 4
    • 1842460762 scopus 로고
    • Nonabelions in the fractional quantum Hall effect
    • Moore G., Read N. Nonabelions in the fractional quantum Hall effect. Nucl. Phys. B. 360:1991;362-396.
    • (1991) Nucl. Phys. B , vol.360 , pp. 362-396
    • Moore, G.1    Read, N.2
  • 5
    • 0000729789 scopus 로고    scopus 로고
    • A new class of non-Abelian spin-singlet quantum Hall states
    • Ardonne E., Schoutens K. A new class of non-Abelian spin-singlet quantum Hall states. Phys. Rev. Lett. 82:(25):1999;5096-5099 cond-mat/9811352.
    • (1999) Phys. Rev. Lett. , vol.82 , Issue.25 , pp. 5096-5099
    • Ardonne, E.1    Schoutens, K.2
  • 6
    • 3943079642 scopus 로고
    • Paired Hall state at half filling
    • Greiter M., Wen X.G., Wilczek F. Paired Hall state at half filling. Phys. Rev. Lett. 66:(24):1991;3205-3208.
    • (1991) Phys. Rev. Lett. , vol.66 , Issue.24 , pp. 3205-3208
    • Greiter, M.1    Wen, X.G.2    Wilczek, F.3
  • 9
    • 0001525628 scopus 로고    scopus 로고
    • Transition from quantum Hall to compressible states in the second Landau level: New light on the ν=5/2 enigma
    • Morf R. Transition from quantum Hall to compressible states in the second Landau level: new light on the ν= 5 2 enigma. Phys. Rev. Lett. 80:1998;1505 cond-mat/9809024.
    • (1998) Phys. Rev. Lett. , vol.80 , pp. 1505
    • Morf, R.1
  • 10
    • 0001603766 scopus 로고    scopus 로고
    • Incompressible paired Hall state, stripe order, and the composite fermion liquid phase in half-filled Landau levels
    • Haldane F., Rezayi E.H. Incompressible paired Hall state, stripe order, and the composite fermion liquid phase in half-filled Landau levels. Phys. Rev. Lett. 84:(20):2000;4685-4688 cond-mat/9906137.
    • (2000) Phys. Rev. Lett. , vol.84 , Issue.20 , pp. 4685-4688
    • Haldane, F.1    Rezayi, E.H.2
  • 11
    • 0001007393 scopus 로고    scopus 로고
    • Parafermion statistics and quasihole excitations for the generalizations of the paired quantum Hall states
    • Gurarie V., Rezayi E. Parafermion statistics and quasihole excitations for the generalizations of the paired quantum Hall states. Phys. Rev. B. 61:(8):2000;5473-5482 cond-mat/9812288.
    • (2000) Phys. Rev. B , vol.61 , Issue.8 , pp. 5473-5482
    • Gurarie, V.1    Rezayi, E.2
  • 14
    • 0001687379 scopus 로고
    • Broken symmetry of two-component ν=1/2 quantum Hall states
    • Ho T.L. Broken symmetry of two-component ν= 1 2 quantum Hall states. Phys. Rev. Lett. 75:1995;1186.
    • (1995) Phys. Rev. Lett. , vol.75 , pp. 1186
    • Ho, T.L.1
  • 15
    • 0002168361 scopus 로고    scopus 로고
    • Transition from Abelian to non-Abelian quantum Hall states
    • Cabra D.C., Lopez A., Rossini G.L. Transition from Abelian to non-Abelian quantum Hall states. Eur. Phys. J. B. 19:2001;21 cond-mat/0006328.
    • (2001) Eur. Phys. J. B , vol.19 , pp. 21
    • Cabra, D.C.1    Lopez, A.2    Rossini, G.L.3
  • 17
    • 0000220907 scopus 로고
    • Modular invariant partition functions for parafermionic field theories
    • Gepner D., Qiu Z. Modular invariant partition functions for parafermionic field theories. Nucl. Phys. B. 285:1987;423-453.
    • (1987) Nucl. Phys. B , vol.285 , pp. 423-453
    • Gepner, D.1    Qiu, Z.2
  • 19
    • 0001157392 scopus 로고
    • Extensions of the Virasoro algebra constructed from Kac-Moody algebras using higher order Casimir invariants
    • Bais F.A., Bouwknegt P., Surridge M., Schoutens K. Extensions of the Virasoro algebra constructed from Kac-Moody algebras using higher order Casimir invariants. Nucl. Phys. B. 304:1988;348-370.
    • (1988) Nucl. Phys. B , vol.304 , pp. 348-370
    • Bais, F.A.1    Bouwknegt, P.2    Surridge, M.3    Schoutens, K.4
  • 22
    • 0001650772 scopus 로고
    • Feigin-Fuchs representation of string functions
    • Nemeschansky D. Feigin-Fuchs representation of string functions. Nucl. Phys. B. 363:1991;665-678.
    • (1991) Nucl. Phys. B , vol.363 , pp. 665-678
    • Nemeschansky, D.1
  • 24
    • 0001935918 scopus 로고
    • On the connection between WZW and free field theories
    • Fuchs J., Gepner D. On the connection between WZW and free field theories. Nucl. Phys. B. 294:1987;30-42.
    • (1987) Nucl. Phys. B , vol.294 , pp. 30-42
    • Fuchs, J.1    Gepner, D.2
  • 25
    • 0001430310 scopus 로고
    • Field identification in coset conformal field theories
    • Gepner D. Field identification in coset conformal field theories. Phys. Lett. B. 222:(2):1989;207-212.
    • (1989) Phys. Lett. B , vol.222 , Issue.2 , pp. 207-212
    • Gepner, D.1
  • 26
    • 0007337838 scopus 로고    scopus 로고
    • Symmetries, Lie Algebras and Representations, a Graduate Course for Physicists
    • Cambridge Univ. Press
    • Fuchs J., Schweigert C. Symmetries, Lie Algebras and Representations, a Graduate Course for Physicists. Cambridge Monographs on Mathematical Physics. 1997;Cambridge Univ. Press.
    • (1997) Cambridge Monographs on Mathematical Physics
    • Fuchs, J.1    Schweigert, C.2
  • 31
    • 0011694830 scopus 로고
    • Quasi-Hopf quantum symmetry in quantum theory
    • Mack G., Schomerus V. Quasi-Hopf quantum symmetry in quantum theory. Nucl. Phys. B. 370:1992;185.
    • (1992) Nucl. Phys. B , vol.370 , pp. 185
    • Mack, G.1    Schomerus, V.2
  • 32
    • 0007207990 scopus 로고
    • Clebsch-Gordan quantum coefficients
    • Kirillov A.N. Clebsch-Gordan quantum coefficients. Zap. Nauchn. Sem. LOMI. 9:1988;67-84 J. Sov. Math. 53:(3):1991;264-276.
    • (1988) Zap. Nauchn. Sem. LOMI , vol.9 , pp. 67-84
    • Kirillov, A.N.1
  • 33
    • 0007203883 scopus 로고
    • Kirillov A.N. Clebsch-Gordan quantum coefficients. Zap. Nauchn. Sem. LOMI. 9:1988;67-84 J. Sov. Math. 53:(3):1991;264-276.
    • (1991) J. Sov. Math. , vol.53 , Issue.3 , pp. 264-276
  • 34
    • 0007205810 scopus 로고
    • q -analogues of Clebsch-Gordan coefficients, and the algebra of functions on the quantum group su(2)
    • Vaksman L. q -analogues of Clebsch-Gordan coefficients, and the algebra of functions on the quantum group su(2) . Dokl. Akad. Nauk. SSSR. 306:(2):1989;269-271 Sov. Math. Dokl. 39:(3):1989;467-470.
    • (1989) Dokl. Akad. Nauk. SSSR , vol.306 , Issue.2 , pp. 269-271
    • Vaksman, L.1
  • 35
    • 0007269307 scopus 로고
    • Vaksman L. q -analogues of Clebsch-Gordan coefficients, and the algebra of functions on the quantum group su(2) . Dokl. Akad. Nauk. SSSR. 306:(2):1989;269-271 Sov. Math. Dokl. 39:(3):1989;467-470.
    • (1989) Sov. Math. Dokl. , vol.39 , Issue.3 , pp. 467-470
  • 36
    • 0001185834 scopus 로고
    • q(sl(2)) , q -orthogonal polynomials and invariants of links
    • V.G. Kac. Infinite Dimensional Lie Algebras and Groups. Singapore: World Scientific
    • q(sl(2)) , q -orthogonal polynomials and invariants of links. Kac V.G. Infinite Dimensional Lie Algebras and Groups. Proceedings of the Conference held at CIRM, Luminy, Marseille. 1988;285-339 World Scientific, Singapore.
    • (1988) Proceedings of the Conference held at CIRM, Luminy, Marseille , pp. 285-339
    • Kirillov, A.N.1    Reshetikhin, N.Y.2
  • 37
    • 13644252540 scopus 로고
    • Common structures between finite systems and conformal field theories through quantum groups
    • Pasquier V., Saleur H. Common structures between finite systems and conformal field theories through quantum groups. Nucl. Phys. B. 330:1990;523-556.
    • (1990) Nucl. Phys. B , vol.330 , pp. 523-556
    • Pasquier, V.1    Saleur, H.2
  • 41
    • 0003199095 scopus 로고
    • Quasi-Hopf algebras and Knizhnik-Zamolodchikov equations
    • Berlin: Springer
    • Drinfel'd V.G. Quasi-Hopf algebras and Knizhnik-Zamolodchikov equations. Problems of Modern Quantum Field Theory. 1989;1-13 Springer, Berlin.
    • (1989) Problems of Modern Quantum Field Theory , pp. 1-13
    • Drinfel'd, V.G.1
  • 43
    • 0000336452 scopus 로고
    • 1 and monodromy representations of the braid group
    • 1 and monodromy representations of the braid group. Lett. Math. Phys. 13:1987;303.
    • (1987) Lett. Math. Phys. , vol.13 , pp. 303
    • Tsuchiya, A.1    Kanie, Y.2
  • 44
    • 0001172947 scopus 로고
    • 1 and monodromy representations of braid group
    • M. Jimbo, T. Miwa, & A. Tsuchiya. Conformal Field Theory and Solvable Lattice Models. Boston: Academic Press
    • 1 and monodromy representations of braid group. Jimbo M., Miwa T., Tsuchiya A. Conformal Field Theory and Solvable Lattice Models. Advanced Studies in Pure Mathematics. 16:1988;297-372 Academic Press, Boston.
    • (1988) Advanced Studies in Pure Mathematics , vol.16 , pp. 297-372
    • Tsuchiya, A.1    Kanie, Y.2
  • 45
    • 0007337839 scopus 로고
    • Integrable Systems in Quantum Field Theory and Statistical Mechanics
    • Boston: Academic Press. Erratum
    • Tsuchiya A., Kanie Y. Integrable Systems in Quantum Field Theory and Statistical Mechanics. Advanced Studies in Pure Mathematics. 19:1989;675-682 Academic Press, Boston. Erratum.
    • (1989) Advanced Studies in Pure Mathematics , vol.19 , pp. 675-682
    • Tsuchiya, A.1    Kanie, Y.2
  • 46
    • 0010798477 scopus 로고
    • Polynomial equations for rational conformal field theories
    • Moore G., Seiberg N. Polynomial equations for rational conformal field theories. Phys. Lett. B. 212:1988;451-460.
    • (1988) Phys. Lett. B , vol.212 , pp. 451-460
    • Moore, G.1    Seiberg, N.2
  • 47
    • 0346763470 scopus 로고
    • Classical and quantum conformal field theory
    • Moore G., Seiberg N. Classical and quantum conformal field theory. Commun. Math. Phys. 123:1989;177-254.
    • (1989) Commun. Math. Phys. , vol.123 , pp. 177-254
    • Moore, G.1    Seiberg, N.2
  • 48
    • 0001023531 scopus 로고
    • Reconstruction theorems and rational conformal field theories
    • Majid S. Reconstruction theorems and rational conformal field theories. Int. J. Mod. Phys. A. 6:1991;4359.
    • (1991) Int. J. Mod. Phys. A , vol.6 , pp. 4359
    • Majid, S.1
  • 49
    • 33646069279 scopus 로고
    • Construction of field algebras with quantum symmetry from local observables
    • Schomerus V. Construction of field algebras with quantum symmetry from local observables. Commun. Math. Phys. 169:1995;193.
    • (1995) Commun. Math. Phys. , vol.169 , pp. 193
    • Schomerus, V.1
  • 50
    • 0001162013 scopus 로고
    • Quantum group meaning of the Coulomb gas
    • Gomez C., Sierra G. Quantum group meaning of the Coulomb gas. Phys. Lett. B. 240:1990;149.
    • (1990) Phys. Lett. B , vol.240 , pp. 149
    • Gomez, C.1    Sierra, G.2
  • 51
    • 5944233952 scopus 로고
    • The quantum group symmetry of rational conformal field theories
    • Gomez C., Sierra G. The quantum group symmetry of rational conformal field theories. Nucl. Phys. B. 352:1991;791-828.
    • (1991) Nucl. Phys. B , vol.352 , pp. 791-828
    • Gomez, C.1    Sierra, G.2
  • 52
    • 0000432543 scopus 로고
    • Quantum group structure in the Fock space resolutions of sl̂(n) representations
    • Bouwknegt P., McCarthy J., Pilch K. Quantum group structure in the Fock space resolutions of sl̂(n) representations. Commun. Math. Phys. 131:1991;125.
    • (1991) Commun. Math. Phys. , vol.131 , pp. 125
    • Bouwknegt, P.1    McCarthy, J.2    Pilch, K.3
  • 54
    • 33646067394 scopus 로고
    • Quantum group interpretation of some conformal field theories
    • Alvarez-Gaumé L., Gómez C., Sierra G. Quantum group interpretation of some conformal field theories. Phys. Lett. B. 220:1989;142-152.
    • (1989) Phys. Lett. B , vol.220 , pp. 142-152
    • Alvarez-Gaumé, L.1    Gómez, C.2    Sierra, G.3
  • 58
    • 0003057390 scopus 로고
    • New conformal field theories associated with Lie algebras and their partition functions
    • Gepner D. New conformal field theories associated with Lie algebras and their partition functions. Nucl. Phys. B. 290:1987;10-24.
    • (1987) Nucl. Phys. B , vol.290 , pp. 10-24
    • Gepner, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.