Superstrings and the unification of forces and particles

  • Michael B. Green
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 246)


Sigma Model Gravitational Anomaly Relativistic Point Particle Hexagon Diagram 
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  1. (1).
    Th. Kaluza, Sitzungsber. Preuss. Akad. Wiss. Berlin, Math. Phys. K1 (1921) 966Google Scholar
  2. (1a).
    O. Klein, Z. Phys. 37 (1926) 895; Nature 118 (1926) 516.Google Scholar
  3. (2).
    C. Wetterich, Nucl. Phys. B233 (1983) 109Google Scholar
  4. (2a).
    S. Randjbar-Daemi, A. Salam, E. Sezgin and J. Strathdee, Nucl. Phys. B214 (1983) 491Google Scholar
  5. (2b).
    E. Witten, Proceedings of the 1983 Shelter Island Conference, ed. N. Khuri et. al. (MIT press, 1985).Google Scholar
  6. (3).
    M.B. Green and J.H. Schwarz, Phys. Lett., 149B (1984) 117Google Scholar
  7. (4).
    G. Veneziano, Nuovo Cim. 57A (1968) 190Google Scholar
  8. (4a).
    M.A. Virasoro, Phys. Rev. 177 (1969) 2309Google Scholar
  9. (4b).
    J.A. Shapiro, Phys. Lett. 33B (1970) 361.Google Scholar
  10. (5).
    Y. Nambu, Int. Conf. on Symmetries and Quark Models, Wayne State University 1969 (Gordon and Breach, 1970) p.269Google Scholar
  11. (5a).
    H. B. Nielsen, Proceedings of the 15th Int. Conf. on High Energy Physics, Kiev 1970Google Scholar
  12. (5b).
    L. Susskind, Nuovo Cim. 69A (1970) 457; Phys. Rev. D1 (1970) 1182.Google Scholar
  13. (6).
    P.M.Ramond, Phys. Rev. D3 (1971) 2415Google Scholar
  14. (6a).
    A. Neveu and J.H. Schwarz, Nucl. Phys. B31 (1971) 86; Phys. Rev. D4 (1971) 1109.Google Scholar
  15. (7).
    F. Gliozzi, J. Scherkand D.I. Olive, Nucl. Phys. B122 (1977) 253.Google Scholar
  16. (8).
    M.B. Green and J.H. Schwarz, Nucl. Phys. B181 (1981) 502; Phys. Lett. 109B (1982) 444; Nucl. Phys. B198 (1982) 252; B198 (1982) 441; Phys. Lett. 136B (1984) 367; Nucl. Phys. B243 (1984) 285; M.B. Green, J.H. Schwarz, L. Brink, Nucl. Phys. B198 (1982) 474.Google Scholar
  17. (9).
    Y. Nambu, Lectures at the Copenhagen Symposium, 1970Google Scholar
  18. (9a).
    T. Goto, Progr. Theor. Phys. 46 (1971) 1560.Google Scholar
  19. (10).
    S. Deser and B. Zumino, Phys. Lett. 65B (1976) 369Google Scholar
  20. (10a).
    L. Brink, P. Di Vecchia and P.S. Howe, Phys. Lett. 65B (1976) 471.Google Scholar
  21. (11).
    A.M. Polyakov, Phys. Lett. 103B (1981) 207; Phys. Lett., 103B (1981) 211.Google Scholar
  22. (12).
    J. H. Schwarz, Proc. Johns Hopkins Workshop on Current Problems in Particle Theory 6, (Florence, 1982) 233Google Scholar
  23. (12a).
    N. Marcus and A. Sagnotti, Phys. Lett. 119B (1982) 97.Google Scholar
  24. (13).
    A. Neveu and J. Scherk, Nucl. Phys. B36 (1972) 155.Google Scholar
  25. (14).
    T. Yoneya, Nuovo Cim. Lett. 8 (1973) 951; Progr. Theor. Phys. 51 (1974) 951.Google Scholar
  26. (14a).
    J. Scherk and J.H. Schwarz, Phys. Lett. 52B (1974) 347.Google Scholar
  27. (15).
    M.B. Green and J.H. Schwarz, Phys. Lett. 122B (1983) 143Google Scholar
  28. (15a).
    J.H. Schwarz and P.C. West, Phys. Lett. 126B (1983) 301Google Scholar
  29. (15b).
    J.H. Schwarz, Nucl. Phys. B226 (1983) 269Google Scholar
  30. (15c).
    P. Howe and P.C. West, Nucl. Phys. B238 (1984) 181Google Scholar
  31. (16).
    L. Alvarez-Gaume and E. Witten, Nucl. Phys. B234 (1983) 269.Google Scholar
  32. (17).
    D.J. Gross, J.A. Harvey, E. Martinec, and R. Rohm, Phys. Rev. Lett. 54 (1985) 502; Nucl. Phys. B256 (1985) 625.Google Scholar
  33. (18).
    P.G.O. Freund, Phys. Lett., 151B (1985) 387.Google Scholar
  34. (19).
    J.-P. Serre, A Course in Arithmetic (Springer-Verlag, 1973)Google Scholar
  35. (19a).
    P. Goddard and D.I. Olive, in Vertex Operators in Maths and Phys., ed. J. Lepowsky, S. Mandelstam and I.M. Singer, Math. Sci. Research Inst. Publication #3 (Springer-Verlag 1985).Google Scholar
  36. (20).
    S. Mandelstam, Nucl. Phys. B64 (1973) 205; B69 (1974) 77Google Scholar
  37. (20a).
    M. Kaku and K. Kikkawa, Phys. Rev. D10 (1974) 1110, 1823.Google Scholar
  38. (20b).
    E. Cremmer and J.-L. Gervais, Nucl. Phys. B76 (1974) 209.Google Scholar
  39. (20c).
    J.F.L. Hopkinson R.W. Tucker and P.A. Collins, Phys. Rev. D12 (1975) 1653.Google Scholar
  40. (20d).
    M.B. Green and J.H. Schwarz, Nucl. Phys. B218 (1983) 43.Google Scholar
  41. (20e).
    M.B. Green, J.H. Schwarz and L. Brink, Nucl. Phys. B219 (1983) 437.Google Scholar
  42. (20f).
    M.B. Green and J.H. Schwarz, Phys. Lett. 140B (1984) 33; Nucl. Phys. B243 (1984) 475.Google Scholar
  43. (21).
    P. Goddard, J. Goldstone, C. Rebbi and C.B. Thorn, Nucl. Phys.B56 (1973) 109.Google Scholar
  44. (22).
    J. A. Shapiro, Phys. Rev. D5 (1972) 1945.Google Scholar
  45. (23).
    M.B. Green and J.H. Schwarz, Phys. Lett. 109B (1982) 444.Google Scholar
  46. (24).
    D.J. Gross, J.A. Harvey, E. Martinec, and R. Rohm, “Heterotic String Theory II. The Interacting Heterotic String”, Princeton preprint (June 1985).Google Scholar
  47. (25).
    M.B. Green and J.H. Schwarz, Phys. Lett. 151B (1985) 21.Google Scholar
  48. (26).
    P.H. Frampton P. Moxhay and Y.J. Ng, Harvard preprint HUTP-85/AO59 (1985)Google Scholar
  49. (26a).
    L. Clavelli, Alabama preprint (1985).Google Scholar
  50. (27).
    M.B. Green, Caltech preprint CALT-68-1219 (1984), to be published in the volume in honour of the 60 th birthday of E.S. Fradkin.Google Scholar
  51. (28).
    S. Mandelstam, Proceedings of the Niels Bohr Centennial Conference, Copenhagen, Denmark (May, 1985)Google Scholar
  52. (28a).
    A. Restuccia and J. G. Taylor, King's College preprint (1985).Google Scholar
  53. (29).
    S. Mandelstam, Proceedings of the Workshop on Unified String Theories, ITP Santa Barbara, 1985.Google Scholar
  54. (30).
    R. Kallosh, Phys. Lett. 159B (1985) 111.Google Scholar
  55. (31).
    E. Witten, “Global Gravitational Anomalies”, Princeton preprint (1985).Google Scholar
  56. (32).
    E. Witten, Proceedings of the Cambridge Nuffield Workshop (CUP 1985)Google Scholar
  57. (33).
    E. Witten, Phys. Lett., 149B (1984) 351.Google Scholar
  58. (34).
    P. Candelas, L. Horowitz, A. Strominger and E. Witten, Nucl. Phys. B258 (1985) 46.Google Scholar
  59. (35).
    F. Gursey, P. Ramond and P. Sikivie, Phys. Lett. 60B (1976) 177.Google Scholar
  60. (36).
    E. Witten, Nucl. Phys. B258 (1985) 75Google Scholar
  61. (36a).
    J.D. Breit, B.A. Ovrut, G. Segrè, Phys. Lett. 158B (1985) 33Google Scholar
  62. (36b).
    M. Dine, V. Kaplunovsky, M. Mangano, C. Nappi and N. Seiberg, Princeton preprint (1985).Google Scholar
  63. (37).
    A. Strominger and E. Witten, Princeton preprint (1985).Google Scholar
  64. (38).
    A. Strominger, Princeton preprint (1985).Google Scholar
  65. (39).
    X.G. Wen and E. Witten, Princeton preprint (1985).Google Scholar
  66. (40).
    E. Witten, Phys. Lett. 155B (1985) 151.Google Scholar
  67. (41).
    M. Dine, R. Rohm, N. Seiberg and E. Witten, Phys. Lett. 156B (1985) 55Google Scholar
  68. (41a).
    J.-P. Derendinger, L.E. Ibañez and H.-P. Nilles, Phys. Lett. 155B (1985) 65.Google Scholar
  69. (42).
    M. Dine and N. Seiberg, Phys. Rev. Lett. 55 (1985) 366; Princeton preprint (1985)Google Scholar
  70. (42a).
    V. Kaplunovsky, Phys. Rev. Lett. 55 (1985) 1033.Google Scholar
  71. (43).
    E. Witten, Proceedings of the Argonne-Chicago Symposium on Anomalies, Geometry and Topology (World Scientific, 1985).Google Scholar
  72. (44).
  73. (44a).
    C. Hull and E. Witten, “Supersymmetric Sigma Models and the Heterotic String”, MIT preprint (1985).Google Scholar
  74. (45).
    E.S. Fradkin and A.A. Tseytlin, Lebedev preprint #261 (October,1984).Google Scholar
  75. (46).
    E. Witten, Comm. Math. Phys. 92 (1984) 455Google Scholar
  76. (46a).
    T. Curtright and C. Zakhos, Phys. Rev. Lett. 53 (1984) 1799.Google Scholar
  77. (47).
    D. Nemeschansky and S. Yankielowicz, Phys. Rev. Lett. 54 (1985) 620Google Scholar
  78. (47a).
    R.S. Jain, R. Shankar and S. Wadia, Tata Institute preprint (January, 1985)Google Scholar
  79. (47b).
    E. Bergshoeff, S. Ranjbar-Daemi, A. Salam, H. Sarmadi and E. Szesgin ICTP, Trieste, preprint (1985).Google Scholar
  80. (48).
    D. Friedan, Ph.D. Thesis, LBL preprint LBL-11517 (August, 1980); ref.45Google Scholar
  81. (48a).
    A. Sen, Fermilab preprints FERMILAB-PUB-85/60-T (April, 1985) FERMILAB-PUB-85/77-T ( May, 1985)Google Scholar
  82. (48b).
    C.G. Callan, E. Martinec M.J. Perry and D. Friedan, “Strings in Background Fields”, Princeton preprint (1985).Google Scholar
  83. (49).
    L.Alvarez-Gaumé, S. Coleman and P.Ginsparg, Harvard preprint (1985)Google Scholar
  84. (50).
    D. Gross and E. Witten, to appear. (51) L. Dixon, J.A. Harvey, C. Vafa and E. Witten, “Strings on Orbifolds” Princeton preprint (1985).Google Scholar
  85. (52).
    M. Henneaux and L. Mezincescu, Phys. Lett. 152B (1985) 340Google Scholar
  86. (52a).
    T.L. Curtright, L. Mezincescu, C.K. Zachos, Argonne preprint ANL-HEP-PR-85-28 (1985).Google Scholar
  87. (53).
    E. Witten, “Twistor-Like Transform in Ten Dimensions”, Princeton preprint (May, 1985).Google Scholar
  88. (54).
    M.T. Grisaru, P. Howe, L. Mezincescu, B. Nilsson, P.K. Townsend, D.A.M.T.P. Cambridge preprint (1985).Google Scholar
  89. (55).
    W. Siegel, Phys. Lett. 149B (1984) 157, 162.Google Scholar
  90. (56).
    T. Banks and M. Peskin, Proceedings of the Argonne-Chicago Symposium on Anomalies, Geometry and Topology (World Scientific, 1985); SLAC preprint SLAC-PUB-3740 (July,1985)Google Scholar
  91. (56a).
    D. Friedan, E.F.I. preprint EFI 85-27 (1985)Google Scholar
  92. (56b).
    A. Neveu and P.C. West, CERN preprint CERN-TH 4000/85Google Scholar
  93. (56c).
    K. Itoh, T. Kugo, H. Kunitomo and H. Ooguri, Kyoto preprint (1985)Google Scholar
  94. (56d).
    W. Siegel and B. Zweibach, Berkeley preprint UCB-PTH-85/30 (1985)Google Scholar
  95. (56e).
    M. Kaku and Lykken, CUNY preprint (1985)Google Scholar
  96. (56f).
    M. Kaku, Osaka University preprints OU-HET 79 and 80 (July, 1985)Google Scholar
  97. (56g).
    S. Raby, R. Slansky and G. West, Los Alamos preprint (1985).Google Scholar
  98. (57).
    A. Neveu and P. West, ref.56.Google Scholar
  99. (58).
    M. Halpern, Phys. Rev. D12 (1975) 1684 (appendix B)Google Scholar
  100. (58a).
    J. Lepowsky and R.L. Wilson, Comm. Math. Phys. 62 (1978) 43Google Scholar
  101. (58b).
    I.B. Frenkel and V. Kac, Inv. Math. 62 (1980) 23Google Scholar
  102. (58c)).
    G. Segal, Comm. Math. Phys. 80 (1981) 301.Google Scholar
  103. (59).
    P. Goddard and D.I. Olive, ref.20. B64 (1973) 205Google Scholar
  104. (60).
    W. Siegel, Berkeley preprint UCB-PTH-85/23 (May, 1985).Google Scholar
  105. (61).
    D. Friedan, S. Shenker and E. Martinec, E.F.I. preprint EFI 85-32 (April 1985).Google Scholar
  106. (62).
    L.J. Romans and N.P. Warner, Caltech preprint CALT-68-1291 (1985)Google Scholar
  107. (63).
    B. Zweibach, Phys. Lett. 156B (1985) 315.Google Scholar

Copyright information

© Springer-Verlag 1988

Authors and Affiliations

  • Michael B. Green
    • 1
  1. 1.Physics Department, Queen Mary CollegeUniversity of LondonUK

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