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Relation between anomaly in type-I superstring and anomaly in its effective theory

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Zeitschrift für Physik C Particles and Fields

Abstract

We explicitly calculate the hexagon and heptagon (covariant) gauge anomaly including the precise numerical coefficients in type-I open superstring. The calculation is performed by using the Pauli-Villars regularization on the basis of the stringy Ward identity, which is an assumption weaker than the cancelled propagator argument. We show that the anomalies in the effective theory are realized as the zero slope limit (α→0) of the string anomalies in a very non-trivial way in the present calculational scheme. This non-trivial realization in higher point (n≧8) anomalies is also discussed.

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References

  1. W.A. Bardeen: Phys. Rev. 184 (1969) 1848

    Google Scholar 

  2. J. Wess, B. Zumino: Phys. Lett. 37B (1971) 95

    Google Scholar 

  3. K. Fujikawa: Phys. Rev. D21 (1980) 2848; Phys. Rev. D29 (1984) 285

    Google Scholar 

  4. W.A. Bardeen, B. Zumino: Nucl. Phys. B244 (1984) 421

    Google Scholar 

  5. B. Zumino, Wu Yong-Shi, A. Zee: Nucl. Phys. B239 (1984) 477; B. Zumino: Les Houches lectures (1983); R. Stora: Cargese lectures (1983) B. Zumino, in: Relativity, Groupes and Topology II. Les Houches, 1983, B.S. DeWitt et al. (eds.) Amsterdam: North-Holland 1984; R. Stora, in: Progress in Gauge Field Theory, proceedings of the Cargese Summer Institute, Cargese, France, 1983, G. 't Hooft et al. (eds) (NATO, Advanced Study Institute, Series B: Physics Vol. 115) New York: Plenum, 1984

    Google Scholar 

  6. L. Alvarez-Gaumè, E. Witten: Nucl. Phys. B234 (1983) 269

    Google Scholar 

  7. M.B. Green, J.H. Schwarz: Phys. Lett. 149B (1984) 117

    Google Scholar 

  8. D.J. Gross, J.A. Harvey, E. Martinec, R. Rohm: Phys. Rev. Lett. 54 (1985) 502; Nucl. Phys. B255 (1985) 93; B267 (1986) 75

    Google Scholar 

  9. M.B. Green, J.H. Schwarz: Nucl. Phys. B255 (1985) 93

    Google Scholar 

  10. H. Suzuki: Phys. Lett. 182B (1986) 37

    Google Scholar 

  11. M. Hayashi, N. Kawamoto, T. Kuramoto, K. Shigemoto: Nucl. Phys. B296 (1988) 373

    Google Scholar 

  12. M. Hayashi, N. Kawamoto T. Kuramoto, K. Shigemoto: Nucl. Phys. B294 (1987) 459

    Google Scholar 

  13. A. Sugamoto, H. Suzuki: preprint KEK-TH125 (1986)

  14. J.H. Schwarz: Phys. Rep. 89 (1982) 223

    Google Scholar 

  15. S. Yahikozawa: Phys. Lett. 166B (1986) 135; P.H. Frampton, Y. Kikuchi, Y.J. Ng: Phys. Lett. 174B (1986) 262: P. Jetzer, L. Mizrachi: Phys. Rev. Lett. 58 (1987) 89; N. Sakai, Y. Tanii: Nucl. Phys. B287 (1987) 457; F. Cuypers: Phys. Lett. 193B (1987) 219

    Google Scholar 

  16. S. Yahikozawa: Nucl. Phys. B291 (1987) 369

    Google Scholar 

  17. A. Sugamoto, H. Suzuki: Phys. Rev. Lett. 57 (1986) 1665

    Google Scholar 

  18. K.S. Narain: Phys. Lett. 169B (1986) 41; H. Kawai, D.C. Lewellen, S.-H.H. Tye: Nucl. Phys. B288 (1987) 1; I. Antoniadis, C.P. Bachas, C. Kounnas: Nucl. Phys. B289 (1987) 87; R. Bluhm, L. Dolan, P. Goddard: Nucl. Phys. B289 (1987) 364

    Google Scholar 

  19. J. Paton, Chan Hong-Mo: Nucl. Phys. B10 (1969) 519

    Google Scholar 

  20. M.B. Green, J.H. Schwarz: Phys. Lett. 151B (1985) 21; P.H. Frampton, P. Moxhay, Y.J. Ng: Phys. Rev. Lett. 55 (1985) 21; Nucl. Phys. B276 (1986) 599

    Google Scholar 

  21. L. Clavelli: Phys. Rev. D33 (1986) 1098

    Google Scholar 

  22. H. Yamamoto, Y. Nagahama, N. Nakazawa: Prog. Theor. Phys. 76 (1986) 115

    Google Scholar 

  23. N. Nakazawa, H. Yamamoto: Prog. Theor. Phys. 77 (1987) 132

    Google Scholar 

  24. L. Clavelli, P.H. Cox, B. Harms: Phys. Rev. D35 (1987) 1908; L. Clavelli, P.H. Cox, B. Harms: Nucl. Phys. B289 (1987) 445

    Google Scholar 

  25. C.S. Lam, Da-Xi Li: Phys. Rev. Lett. 56 (1986) 2575

    Google Scholar 

  26. R. Potting, J. Shapiro: Phys. Rev. D34 (1986) 3260; L. Clavelli: Phys. Rev. D34 (1986) 3262; P.H. Frampton, A.K. Kshirsagar, Y.J. Ng: Phys. Rev. D34 (1986) 2532

    Google Scholar 

  27. A.N. Schellekens, N.P. Warner: Phys. Lett. 177B (1986) 317; 181B (1986) 339; Nucl. Phys. B287 (1987) 317; K. Pilch, A.N. Schellekens, N.P. Warner: Nucl. Phys. B287 (1987) 362

    Google Scholar 

  28. H. Suzuki: private communication

  29. L. Clavelli, J. Shapiro: Nucl. Phys. B57 (1973) 490

    Google Scholar 

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Nagahama, Y. Relation between anomaly in type-I superstring and anomaly in its effective theory. Z. Phys. C - Particles and Fields 39, 47–56 (1988). https://doi.org/10.1007/BF01560389

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