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Volumn 183, Issue 2, 1997, Pages 365-382

Chirality and Dirac operator on noncommutative sphere

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EID: 0031542566     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02506411     Document Type: Article
Times cited : (105)

References (30)
  • 1
    • 84980077803 scopus 로고
    • On a Hubert space of analytic functions and an associated integral transform, part I
    • Bargmann, V.: On a Hubert Space of Analytic Functions and an Associated Integral Transform, Part I. Comm. Pure Appl. Math. 14, 187-214 (1961)
    • (1961) Comm. Pure Appl. Math. , vol.14 , pp. 187-214
    • Bargmann, V.1
  • 2
    • 84931493237 scopus 로고
    • Covariant and contravariant symbols of operators
    • Berezin, F.A.: Covariant and contravariant symbols of operators. Math. USSR Izvestija 6, 1117-1151 (1972)
    • (1972) Math. USSR Izvestija , vol.6 , pp. 1117-1151
    • Berezin, F.A.1
  • 4
    • 5344280691 scopus 로고
    • General concept of quantization
    • Berezin, F.A.: General concept of quantization. Commun. Math. Phys. 40, 153-174 (1975)
    • (1975) Commun. Math. Phys. , vol.40 , pp. 153-174
    • Berezin, F.A.1
  • 6
    • 0001747687 scopus 로고
    • Toeplitz quantization of Kähler manifolds and gl(N),N → ∞ limits
    • Bordemann, M., Meinrenken, E., Schlichenmaier, M.: Toeplitz Quantization of Kähler Manifolds and gl(N),N → ∞ Limits. Commun. Math. Phys. 165, 281-296 (1994)
    • (1994) Commun. Math. Phys. , vol.165 , pp. 281-296
    • Bordemann, M.1    Meinrenken, E.2    Schlichenmaier, M.3
  • 8
    • 0002355740 scopus 로고
    • Grand unification in non-commutative geometry
    • Chamseddine, A.M., Felder, G., Fröhlich, J.: Grand unification in non-commutative geometry. Nucl. Phys. B395, 672-698 (1993)
    • (1993) Nucl. Phys. , vol.B395 , pp. 672-698
    • Chamseddine, A.M.1    Felder, G.2    Fröhlich, J.3
  • 9
    • 34249840494 scopus 로고
    • Deformation estimates for the Berezin-Toeplitz quantization commun
    • Coburn, L.A.: Deformation Estimates for the Berezin-Toeplitz Quantization Commun. Math. Phys. 149, 415-424 (1992)
    • (1992) Math. Phys. , vol.149 , pp. 415-424
    • Coburn, L.A.1
  • 10
    • 44949280789 scopus 로고
    • see also chapter VI of Ref. [11]
    • Connes, A., Lott, J.: Nucl. Phys. 18 B (Proc. Suppl.) 29, (1990); see also chapter VI of Ref. [11]
    • (1990) Nucl. Phys. , vol.18 B , Issue.PROC. SUPPL. , pp. 29
    • Connes, A.1    Lott, J.2
  • 12
    • 33744693712 scopus 로고
    • Gauge bosons in a noncommutative geometry
    • Dubois-Violette, M., Kerner, R., Madore, J.: Gauge Bosons in a Noncommutative Geometry. Phys. Lett. B217, 485-488 (1989)
    • (1989) Phys. Lett. , vol.B217 , pp. 485-488
    • Dubois-Violette, M.1    Kerner, R.2    Madore, J.3
  • 13
    • 0000447880 scopus 로고
    • Noncommutative differential geometry of matrix algebras
    • Dubois-Violette, M., Kerner, R., Madore, J.: Noncommutative differential geometry of matrix algebras. J. Math. Phys. 31, 316 (1990)
    • (1990) J. Math. Phys. , vol.31 , pp. 316
    • Dubois-Violette, M.1    Kerner, R.2    Madore, J.3
  • 14
    • 7244261301 scopus 로고
    • Noncommutative differential geometry and new models of gauge theory
    • Dubois-Violette, M., Kerner, R., Madore, J.: Noncommutative differential geometry and new models of gauge theory. J. Math. Phys. 31, 323 (1990)
    • (1990) J. Math. Phys. , vol.31 , pp. 323
    • Dubois-Violette, M.1    Kerner, R.2    Madore, J.3
  • 16
    • 5244341205 scopus 로고
    • Configuration-interaction calculations on the fractional quantum Hall effect
    • Fano, G., Ortolani, F., Colombo, E.: Configuration-interaction calculations on the fractional quantum Hall effect. Phys. Rev. B34, 2670-2680 (1986)
    • (1986) Phys. Rev. , vol.B34 , pp. 2670-2680
    • Fano, G.1    Ortolani, F.2    Colombo, E.3
  • 17
    • 0001475681 scopus 로고
    • A noncommutative version of the Schwinger model
    • Grosse, H., Madore, J.: A noncommutative version of the Schwinger model. Phys. Lett. 283, 218-222 (1992)
    • (1992) Phys. Lett. , vol.283 , pp. 218-222
    • Grosse, H.1    Madore, J.2
  • 18
    • 0000978330 scopus 로고
    • The construction of noncommutative manifolds using coherent states
    • Grosse, H., Presnajder, P.: The Construction of Noncommutative Manifolds Using Coherent States. Lett. Math. Phys. 28, 239 (1993)
    • (1993) Lett. Math. Phys. , vol.28 , pp. 239
    • Grosse, H.1    Presnajder, P.2
  • 19
    • 0001716410 scopus 로고
    • The Dirac operator on the fuzzy sphere
    • Grosse, H., Presnajder, P.: The Dirac Operator on the Fuzzy Sphere. Lett. Math. Phys. 33, 171-181 (1995)
    • (1995) Lett. Math. Phys. , vol.33 , pp. 171-181
    • Grosse, H.1    Presnajder, P.2
  • 20
    • 0040062388 scopus 로고    scopus 로고
    • hep-th/9505175
    • Grosse, H., Klimcik, C., Presnajder, P.: Towards a finite Quantum Field Theory in Noncomm. Geometry, hep-th/9505175; Field Theory on a Supersymmetric Lattice, hep-th/9507074; Topological Nontrivial Field Configurations in Noncommutative Geometry. Commun. Math. Phys. 178, 507-526 (1996); Simple Field Theoretical Models on Noncommutative Manifolds, hep-th/9510177
    • Towards a Finite Quantum Field Theory in Noncomm. Geometry
    • Grosse, H.1    Klimcik, C.2    Presnajder, P.3
  • 21
    • 0040062388 scopus 로고    scopus 로고
    • hep-th/9507074
    • Grosse, H., Klimcik, C., Presnajder, P.: Towards a finite Quantum Field Theory in Noncomm. Geometry, hep-th/9505175; Field Theory on a Supersymmetric Lattice, hep-th/9507074; Topological Nontrivial Field Configurations in Noncommutative Geometry. Commun. Math. Phys. 178, 507-526 (1996); Simple Field Theoretical Models on Noncommutative Manifolds, hep-th/9510177
    • Field Theory on a Supersymmetric Lattice
  • 22
    • 0040062388 scopus 로고    scopus 로고
    • Topological nontrivial field configurations in noncommutative geometry
    • Grosse, H., Klimcik, C., Presnajder, P.: Towards a finite Quantum Field Theory in Noncomm. Geometry, hep-th/9505175; Field Theory on a Supersymmetric Lattice, hep-th/9507074; Topological Nontrivial Field Configurations in Noncommutative Geometry. Commun. Math. Phys. 178, 507-526 (1996); Simple Field Theoretical Models on Noncommutative Manifolds, hep-th/9510177
    • (1996) Commun. Math. Phys. , vol.178 , pp. 507-526
  • 23
    • 0040062388 scopus 로고    scopus 로고
    • hep-th/9510177
    • Grosse, H., Klimcik, C., Presnajder, P.: Towards a finite Quantum Field Theory in Noncomm. Geometry, hep-th/9505175; Field Theory on a Supersymmetric Lattice, hep-th/9507074; Topological Nontrivial Field Configurations in Noncommutative Geometry. Commun. Math. Phys. 178, 507-526 (1996); Simple Field Theoretical Models on Noncommutative Manifolds, hep-th/9510177
    • Simple Field Theoretical Models on Noncommutative Manifolds
  • 24
    • 33744723980 scopus 로고    scopus 로고
    • Fractional quantization of the hall effect: A hierachy of incompressible quantum fluid states
    • Haldane, F.D.M.: Fractional Quantization of the Hall Effect: A Hierachy of Incompressible Quantum Fluid States. Phys. Rev. Lett. 51, 605 (9183)
    • Phys. Rev. Lett. , vol.51 , pp. 605
    • Haldane, F.D.M.1
  • 27
    • 34249832301 scopus 로고
    • Quantum Riemann surfaces I. The unit disk
    • Klimek, S., Lesniewski, A.: Quantum Riemann Surfaces I. The Unit Disk. Commun. Math. Phys. 146, 103 (1992)
    • (1992) Commun. Math. Phys. , vol.146 , pp. 103
    • Klimek, S.1    Lesniewski, A.2
  • 28
    • 0001627254 scopus 로고
    • The commutative limit of a matrix geometry
    • Madore, J.: The commutative limit of a matrix geometry. J. Math. Phys. 32, 332-335 (1991)
    • (1991) J. Math. Phys. , vol.32 , pp. 332-335
    • Madore, J.1
  • 29


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