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Volumn 193, Issue 3, 1998, Pages 527-594

Supersymmetric quantum theory and differential geometry

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EID: 0040843647     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050339     Document Type: Article
Times cited : (42)

References (59)
  • 1
    • 0002257217 scopus 로고
    • Supersymmetry and the Atiyah-Singer index theorem
    • Alvarez-Gaumé, L.: Supersymmetry and the Atiyah-Singer index theorem. Commun. Math. Phys. 90, 161-173 (1983)
    • (1983) Commun. Math. Phys. , vol.90 , pp. 161-173
    • Alvarez-Gaumé, L.1
  • 2
    • 0001165597 scopus 로고
    • Geometrical structure and ultraviolet finiteness in the supersymmetric σ-model
    • Alvarez-Gaumé, L., Freedman, D.Z.: Geometrical structure and ultraviolet finiteness in the supersymmetric σ-model. Commun. Math. Phys. 80, 443-451 (1981)
    • (1981) Commun. Math. Phys. , vol.80 , pp. 443-451
    • Alvarez-Gaumé, L.1    Freedman, D.Z.2
  • 4
    • 84972540534 scopus 로고
    • Varietés kähleriennes dont la lère classe de chern est nulle
    • Beauville, A.: Varietés Kähleriennes dont la lère classe de Chern est nulle. J. Diff. Geom. 18, 755-782 (1983)
    • (1983) J. Diff. Geom. , vol.18 , pp. 755-782
    • Beauville, A.1
  • 5
    • 0004058055 scopus 로고
    • Berlin-Heidelberg-New York: Springer Verlag
    • Besse, A.L.: Einstein Manifolds Berlin-Heidelberg-New York: Springer Verlag, 1987
    • (1987) Einstein Manifolds
    • Besse, A.L.1
  • 7
    • 0011398060 scopus 로고
    • (8,0) Locally supersymmetric σ-models with conformal invariance in two dimensions
    • Bergshoeff, E., Szegin, E., Nishino, H.: (8,0) Locally supersymmetric σ-models with conformal invariance in two dimensions. Phys. Lett. B 186, 167-172 (1987)
    • (1987) Phys. Lett. B , vol.186 , pp. 167-172
    • Bergshoeff, E.1    Szegin, E.2    Nishino, H.3
  • 9
    • 0003006128 scopus 로고    scopus 로고
    • Lectures on complex manifolds
    • Proceedings of the Trieste Summer School, Eds. L. Alvarez-Gaumé et al.
    • Candelas, P.: Lectures on complex manifolds. In: Superstrings '87, Proceedings of the Trieste Summer School, Eds. L. Alvarez-Gaumé et al., pp. 1-88
    • Superstrings '87 , pp. 1-88
    • Candelas, P.1
  • 10
    • 84968475636 scopus 로고
    • Cohomology of Lie groups and Lie algebras
    • Chevalley, C., Eilenberg, S.: Cohomology of Lie groups and Lie algebras Trans. Am. Math. Soc. 63, 85-124 (1948)
    • (1948) Trans. Am. Math. Soc. , vol.63 , pp. 85-124
    • Chevalley, C.1    Eilenberg, S.2
  • 11
    • 33646066981 scopus 로고
    • All possible symmetries of the S-matrix
    • Coleman, S., Mandula, J.: All possible symmetries of the S-matrix. Phys. Rev. 159, 1251-1256 (1967)
    • (1967) Phys. Rev. , vol.159 , pp. 1251-1256
    • Coleman, S.1    Mandula, J.2
  • 14
    • 20444413413 scopus 로고
    • The action functional in noncommutative geometry
    • Connes, A.: The action functional in noncommutative geometry. Commun. Math. Phys. 117, 673-683 (1988)
    • (1988) Commun. Math. Phys. , vol.117 , pp. 673-683
    • Connes, A.1
  • 15
    • 21844496057 scopus 로고
    • Reality and noncommutative geometry
    • Connes, A.: Reality and noncommutative geometry. J. Math. Phys. 36, 6194-6231 (1995)
    • (1995) J. Math. Phys. , vol.36 , pp. 6194-6231
    • Connes, A.1
  • 16
    • 0000910269 scopus 로고
    • Caractère multiplicatif d'un module de
    • Connes, A., Karoubi, M.: Caractère multiplicatif d'un module de Fredholm K-Theory 2, 431-463 (1988)
    • (1988) Fredholm K-Theory , vol.2 , pp. 431-463
    • Connes, A.1    Karoubi, M.2
  • 17
    • 33750947757 scopus 로고
    • The quantum structure of space-time at the planck scale and quantum fields
    • Doplicher, S., Fredenhagen, K., Roberts, J.E.: The quantum structure of space-time at the Planck scale and quantum fields. Commun. Math. Phys. 172, 187-220 (1995)
    • (1995) Commun. Math. Phys. , vol.172 , pp. 187-220
    • Doplicher, S.1    Fredenhagen, K.2    Roberts, J.E.3
  • 18
    • 25744451448 scopus 로고
    • The non-commutative geometry of two-dimensional supersymmetric conformal field theory
    • K.C. Wali (ed.), Singapore: World Scientific
    • Fröhlich, J.: The non-commutative geometry of two-dimensional supersymmetric conformal field theory. In: PASCOS, Proc. of the Fourth Intl. Symp. on Particles, Strings and Cosmology. K.C. Wali (ed.), Singapore: World Scientific 1995
    • (1995) PASCOS, Proc. of the Fourth Intl. Symp. on Particles, Strings and Cosmology
    • Fröhlich, J.1
  • 20
    • 0000285458 scopus 로고
    • Spectra of Wess-Zumino-Witten models with arbitrary simple groups
    • Felder, G., Gawȩdzki, K., Kupiainen, A.: Spectra of Wess-Zumino-Witten models with arbitrary simple groups. Commun. Math. Phys. 117, 127-158 (1988)
    • (1988) Commun. Math. Phys. , vol.117 , pp. 127-158
    • Felder, G.1    Gawȩdzki, K.2    Kupiainen, A.3
  • 21
    • 25744452244 scopus 로고
    • Supersymmetry and non-commutative geometry
    • In preparation. Supersymmetric quantum theory, non-commutative geometry, and gravitation A. Connes, K. Gawȩdzki(eds.), Lecture notes for the Les Houches Summer School
    • Fröhlich, J., Grandjean, O., Recknagel, A.: Supersymmetry and non-commutative geometry. In preparation. Supersymmetric quantum theory, non-commutative geometry, and gravitation. In: Quantum Symmetry, A. Connes, K. Gawȩdzki(eds.), Lecture notes for the Les Houches 1995 Summer School
    • (1995) Quantum Symmetry
    • Fröhlich, J.1    Grandjean, O.2    Recknagel, A.3
  • 22
    • 0001118971 scopus 로고
    • Stability of Coulomb systems with magnetic fields I
    • Fröhlich, J., Lieb, E.H., Loss, M.: Stability of Coulomb systems with magnetic fields I. Commun. Math. Phys. 104, 251-270 (1986)
    • (1986) Commun. Math. Phys. , vol.104 , pp. 251-270
    • Fröhlich, J.1    Lieb, E.H.2    Loss, M.3
  • 23
    • 0000911856 scopus 로고
    • Supersymmetric derivation of the Atiyah-Singer index theorem and the chiral anomaly
    • Friedan, D., Windey, P.: Supersymmetric derivation of the Atiyah-Singer index theorem and the chiral anomaly. Nucl. Phys. B 235, 395-416 (1984)
    • (1984) Nucl. Phys. B , vol.235 , pp. 395-416
    • Friedan, D.1    Windey, P.2
  • 24
    • 0003350969 scopus 로고
    • Pseudo-differential operators on supermanifolds and the Atiyah-Singer index theorem
    • Getzler, E.: Pseudo-differential operators on supermanifolds and the Atiyah-Singer index theorem. Commun. Math. Phys. 92, 163-178 (1983); A short proof of the Atiyah-Singer index theorem. Topology 25, 111-117 (1986)
    • (1983) Commun. Math. Phys. , vol.92 , pp. 163-178
    • Getzler, E.1
  • 25
    • 0002846281 scopus 로고
    • A short proof of the Atiyah-Singer index theorem
    • Getzler, E.: Pseudo-differential operators on supermanifolds and the Atiyah-Singer index theorem. Commun. Math. Phys. 92, 163-178 (1983); A short proof of the Atiyah-Singer index theorem. Topology 25, 111-117 (1986)
    • (1986) Topology , vol.25 , pp. 111-117
  • 26
    • 34247181532 scopus 로고
    • String theory on group manifolds
    • Gepner, D., Witten, E.: String theory on group manifolds, Nucl. Phys. B 278, 493-549 (1986)
    • (1986) Nucl. Phys. B , vol.278 , pp. 493-549
    • Gepner, D.1    Witten, E.2
  • 27
    • 0000278597 scopus 로고
    • Extension of the algebra of Poincaré group generators and violation of P-invariance
    • Gol'fand, Y.A., Likhtman, E.P.: Extension of the algebra of Poincaré group generators and violation of P-invariance. JETP Lett. 13, 323-326 (1971)
    • (1971) JETP Lett. , vol.13 , pp. 323-326
    • Gol'fand, Y.A.1    Likhtman, E.P.2
  • 30
    • 0010959920 scopus 로고
    • Lectures given at the Erice Summer School, July
    • Jaffe, A., Lesniewski, A.: Geometry of Supersymmetry. Lectures given at the Erice Summer School, July 1988; Jaffe, A., Lesniewski, A., Weitsman, J.: The two-dimensional N = 2 Wess-Zumino-Witten model on a cylinder. Commun. Math. Phys. 114, 147-185 (1988)
    • (1988) Geometry of Supersymmetry
    • Jaffe, A.1    Lesniewski, A.2
  • 31
    • 0010959920 scopus 로고
    • The two-dimensional N = 2 Wess-Zumino-Witten model on a cylinder
    • Jaffe, A., Lesniewski, A.: Geometry of Supersymmetry. Lectures given at the Erice Summer School, July 1988; Jaffe, A., Lesniewski, A., Weitsman, J.: The two-dimensional N = 2 Wess-Zumino-Witten model on a cylinder. Commun. Math. Phys. 114, 147-185 (1988)
    • (1988) Commun. Math. Phys. , vol.114 , pp. 147-185
    • Jaffe, A.1    Lesniewski, A.2    Weitsman, J.3
  • 32
    • 0009107213 scopus 로고
    • Ward identities for non-commutative geometry
    • Jaffe, A., Osterwalder, K.: Ward identities for non-commutative geometry. Commun. Math. Phys. 132, 119-130 (1990)
    • (1990) Commun. Math. Phys. , vol.132 , pp. 119-130
    • Jaffe, A.1    Osterwalder, K.2
  • 33
    • 0009105098 scopus 로고
    • On super-KMS functionals and entire cyclic cohomology
    • Jaffe, A., Lesniewski, A., Osterwalder, K.: On super-KMS functionals and entire cyclic cohomology, K-Theory 2, 675-682 (1989)
    • (1989) K-Theory , vol.2 , pp. 675-682
    • Jaffe, A.1    Lesniewski, A.2    Osterwalder, K.3
  • 34
    • 84972526322 scopus 로고
    • Compact hypercomplex and quaternionic manifolds
    • Joyce, D.D.: Compact hypercomplex and quaternionic manifolds. J. Differ. Geom. 35, 743-762 (1992); Manifolds with many complex structures. Q. J. Math. Oxf. II. Ser. 46, 169-184 (1995) Kobayashi, S., Nomizu. K.: Foundations of differential geometry I, II. New York: Interscience Publishers, 1963
    • (1992) J. Differ. Geom. , vol.35 , pp. 743-762
    • Joyce, D.D.1
  • 35
    • 0001316891 scopus 로고
    • Manifolds with many complex structures
    • Joyce, D.D.: Compact hypercomplex and quaternionic manifolds. J. Differ. Geom. 35, 743-762 (1992); Manifolds with many complex structures. Q. J. Math. Oxf. II. Ser. 46, 169-184 (1995) Kobayashi, S., Nomizu. K.: Foundations of differential geometry I, II. New York: Interscience Publishers, 1963
    • (1995) Q. J. Math. Oxf. II. Ser. , vol.46 , pp. 169-184
  • 36
    • 84972526322 scopus 로고
    • New York: Interscience Publishers
    • Joyce, D.D.: Compact hypercomplex and quaternionic manifolds. J. Differ. Geom. 35, 743-762 (1992); Manifolds with many complex structures. Q. J. Math. Oxf. II. Ser. 46, 169-184 (1995) Kobayashi, S., Nomizu. K.: Foundations of differential geometry I, II. New York: Interscience Publishers, 1963
    • (1963) Foundations of Differential Geometry I, II
    • Kobayashi, S.1    Nomizu, K.2
  • 40
    • 0001226530 scopus 로고
    • Stability of Coulomb systems with magnetic fields II
    • Lieb, E.H., Loss, M.: Stability of Coulomb systems with magnetic fields II. Commun. Math. Phys. 104, 271-282 (1986)
    • (1986) Commun. Math. Phys. , vol.104 , pp. 271-282
    • Lieb, E.H.1    Loss, M.2
  • 41
    • 0001226529 scopus 로고
    • Stability of Coulomb systems with magnetic fields III
    • Loss, M., Yau, H.-T.: Stability of Coulomb systems with magnetic fields III. Commun. Math. Phys. 104, 283-290 (1986)
    • (1986) Commun. Math. Phys. , vol.104 , pp. 283-290
    • Loss, M.1    Yau, H.-T.2
  • 42
    • 0000793397 scopus 로고
    • The integrability of N = 16 supergravity
    • Nicolai, H.: The integrability of N = 16 supergravity. Phys. Lett. B 194, 402-407 (1987)
    • (1987) Phys. Lett. B , vol.194 , pp. 402-407
    • Nicolai, H.1
  • 43
    • 4243804857 scopus 로고
    • Quark model of dual pions
    • Neveu, A., Schwarz, J.H.: Quark model of dual pions. Phys. Rev. D 4, 1109-1111 (1971)
    • (1971) Phys. Rev. D , vol.4 , pp. 1109-1111
    • Neveu, A.1    Schwarz, J.H.2
  • 45
    • 35949032748 scopus 로고
    • Dual theory for free fermions
    • Ramond, R.: Dual theory for free fermions. Phys. Rev. D 3, 2415-2418 (1971)
    • (1971) Phys. Rev. D , vol.3 , pp. 2415-2418
    • Ramond, R.1
  • 48
    • 59749102946 scopus 로고
    • Vector bundles and projective modules
    • Swan, R.G.: Vector bundles and projective modules. Trans. Am. Math. Soc. 105, 264-277 (1962)
    • (1962) Trans. Am. Math. Soc. , vol.105 , pp. 264-277
    • Swan, R.G.1
  • 49
    • 43949163688 scopus 로고
    • Connes' non-commutative differential geometry and the standard model
    • Várilly, J.C., Gracia-Bondia, J.M.: Connes' non-commutative differential geometry and the standard model. J. Geom. Phys. 12, 223-301 (1993)
    • (1993) J. Geom. Phys. , vol.12 , pp. 223-301
    • Várilly, J.C.1    Gracia-Bondia, J.M.2
  • 53
    • 0009322069 scopus 로고
    • Constraints on supersymmetry breaking
    • Witten, E.: Constraints on Supersymmetry breaking. Nucl. Phys. B 202, 253-316 (1982)
    • (1982) Nucl. Phys. B , vol.202 , pp. 253-316
    • Witten, E.1
  • 54
    • 84972500802 scopus 로고
    • Supersymmetry and Morse theory
    • Witten, E.: Supersymmetry and Morse theory. J. Diff. Geom. 17, 661-692 (1982)
    • (1982) J. Diff. Geom. , vol.17 , pp. 661-692
    • Witten, E.1
  • 55
    • 0041473823 scopus 로고
    • Non-abelian bosonization in two dimensions
    • Witten, E.: Non-abelian bosonization in two dimensions. Commun. Math. Phys. 92, 455-472 (1984)
    • (1984) Commun. Math. Phys. , vol.92 , pp. 455-472
    • Witten, E.1
  • 56
    • 0002753067 scopus 로고
    • Rigidly and locally supersymmetric two-dimensional nonlinear σ-models with torsion
    • de Wit. B., van Nieuwenhuizen, P.: Rigidly and locally supersymmetric two-dimensional nonlinear σ-models with torsion. Nucl. Phys. B 312, 58-94 (1989)
    • (1989) Nucl. Phys. B , vol.312 , pp. 58-94
    • De Wit, B.1    Van Nieuwenhuizen, P.2
  • 57
    • 0002781251 scopus 로고
    • Locally supersymmetric D = 3 non-linear sigma models
    • de Wit, B., Tollstén, A.K., Nicolai, H.: Locally supersymmetric D = 3 non-linear sigma models. Nucl. Phys. B 392, 3-38 (1993)
    • (1993) Nucl. Phys. B , vol.392 , pp. 3-38
    • De Wit, B.1    Tollstén, A.K.2    Nicolai, H.3
  • 58
    • 0002028089 scopus 로고
    • Supergauge transformations in four dimensions
    • Wess, J., Zumino, B.: Supergauge transformations in four dimensions. Nucl. Phys. B 70, 39-50 (1974)
    • (1974) Nucl. Phys. B , vol.70 , pp. 39-50
    • Wess, J.1    Zumino, B.2
  • 59
    • 84980156699 scopus 로고
    • On the Ricci curvature of a compact Kähler manifold and the complex Monge-Ampère equation I
    • Yau, S.T.: On the Ricci curvature of a compact Kähler manifold and the complex Monge-Ampère equation I. Comm. Pure and Appl. Math. 31, 339-411 (1978)
    • (1978) Comm. Pure and Appl. Math. , vol.31 , pp. 339-411
    • Yau, S.T.1


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