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Prog. Theor. Phys. Vol. 87 No. 4 (1992) pp. 801-859

[ Full Text PDF : FREE ACCESS (2796K) ]

Invited Papers

Target Space Duality as a Symmetry of String Field Theory

Taichiro Kugo and Barton Zwiebach*

Department of Physics, Kyoto University, Kyoto 606-01
*Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-01

(Received January 30, 1992)

Abstract:

Toroidal backgrounds for bosonic strings are used to understand target space duality as a symmetry of string field theory and to study explicitly issues in background independence. Our starting point is the notion that the string field coordinates X(σ) and the momenta P(σ) are background independent objects whose field algebra is always the same; backgrounds correspond to inequivalent representations of this algebra. We propose classical string field solutions relating any two toroidal backgrounds and discuss the space where these solutons are defined. String field theories formulated around dual backgrounds are shown to be related by a homogeneous field redefinition, and are therefore equivalent, if and only if their string field coupling constants are identical. Using this discrete equivalence of backgrounds and the classical solutions we find discrete symmetry transformations of the string field leaving the string action invariant. These symmetries, which are spontaneously broken for generic backgrounds, are shown to generate the full group of duality symmetries, and in general are seen to arise from the string field gauge group.


URL : http://ptp.ipap.jp/link?PTP/87/801/
DOI : 10.1143/PTP.87.801

[ Full Text PDF : FREE ACCESS (2796K) ] Citation:

References:

  1. K. Kikkawa and M. Yamasaki, Phys. Lett. B149 (1984), 357.
    N. Sakai and I. Senda, Prog. Theor. Phys. 75 (1986), 692[PTP].
  2. K. Narain, Phys. Lett. B169 (1986), 41.
    K. Narain, M. Sarmadi and E. Witten, Nucl. Phys. B279 (1987), 369.
  3. V. P. Nair, A. Shapere, A. Strominger and F. Wilczek, Nucl. Phys. B287 (1987), 402.
    A. Shapere and F. Wilczek, Nucl. Phys. B320 (1989), 669.
    B. Sathiapalan, Phys. Rev. Lett. 58 (1987), 1597[APS].
  4. A. Giveon, E. Rabinovici and G. Veneziano, Nucl. Phys. B322 (1989), 167.
  5. R. Dijkgraaf, E. Verlinde and H. Verlinde, Comm. Math. Phys. 115 (1988), 649.
  6. M. Dine, P. Huet and N. Seiberg, Nucl. Phys. B322 (1989), 301.
  7. A. Giveon, N. Malkin and E. Rabinovici, Phys. Lett. B238 (1990), 57.
  8. S. Ferrara, D. Lust, A. Shapere and S. Theisen, Phys. Lett. B225 (1989), 363.
    S. Ferrara, D. Lust and S. Theisen, Phys. Lett. B233 (1989), 147.
  9. A. Giveon and M. Porrati, Nucl. Phys. B355 (1991), 422.
  10. H. Hata, K. Itoh, T. Kugo, H. Kunitomo and K. Ogawa, Phys. Lett. 172B (1986), 186; ibid. 172B (1986), 195; ibid. 175B (1986), 138; Nucl. Phys. B283 (1987), 433; Prog. Theor. Phys. 77 (1987), 443[PTP].
  11. H. Hata, K. Itoh, T. Kugo, H. Kunitomo and K. Ogawa, Phys. Rev. D34 (1986), 2360[APS]; ibid. D35 (1987), 1318[APS]; ibid. D35 (1987), 1356[APS].
  12. T. Yoneya, Phys. Lett. 197B (1987), 76.
  13. K. Itoh, Ph. D. Doctoral Thesis, Kyoto University; Soryusiron Kenkyu 75 (1987), 134.
  14. M. Maeno and H. Takano, Prog. Theor. Phys. 82 (1989), 829[PTP].
  15. H. Hata and Y. Nagoshi, Prog. Theor. Phys. 80 (1988), 1088[PTP].
  16. M. Kaku and K. Kikkawa, Phys. Rev. D10 (1974), 1110[APS]; ibid. D10 (1974), 1823[APS].
  17. M. Saadi and B. Zwiebach, Ann. of Phys. 192 (1989), 213[CrossRef].
    T. Kugo, H. Kunitomo and K. Suehiro, Phys. Lett. B226 (1989), 48.
  18. T. Kugo and M. Suehiro, Nucl. Phys. B337 (1990), 434.
  19. B. Zwiebach, Mod. Phys. Lett. A5 (1990), 2753; Comm. Math. Phys. 136 (1991), 83.
    H. Sonoda and B. Zwiebach, Nucl. Phys. B331 (1990), 592.
  20. A. Sen, Nucl. Phys. B345 (1990), 551; ibid. B347 (1990), 270.
  21. S. Mukherji and A. Sen, Nucl. Phys. B363 (1991), 639.
  22. A. Sen, TIFR/TH/91-39, September 1991.
  23. C. Vafa and P. Ginsparg, Nucl. Phys. B289 (1987), 414.
    E. Alvarez and M. Osorio, Phys. Rev. D40 (1989), 1150[APS].
    A. Giveon, N. Malkin and E. Rabinovici, Phys. Lett. B220 (1989), 551.
    D. J. Gross and I. Klebanov, Nucl. Phys. B344 (1990), 475.
  24. A. A. Tseytlin, Phys. Lett. B242 (1990), 163.
  25. A. Giveon and M. Rocek, IAS Preprint, IASSNS-HEP-91/84, December 1991.
  26. A. Sen, Phys. Lett. B271 (1991), 295; ibid. B274 (1992), 34.
    S. F. Hassan and A. Sen, TIFR/TH/91-40, 1991.
  27. G. Veneziano, Phys. Lett. B265 (1991), 287.
    K. A. Meissner and G. Veneziano, Phys. Lett. B267 (1991), 33.
  28. H. Hata, K. Itoh, T. Kugo, H. Kunitomo and K. Ogawa, Phys. Lett. 175 (1986), 138.
  29. L. Kadanoff, Ann. of Phys. 120 (1979), 39[CrossRef].
    J. Cardy, J. of Phys. A (1987), L891.
  30. R. Dijkgraaf, E. Verlinde and H. Verlinde, in Perspectives of String Theory, ed. P. Di Vecchia and J. L. Petersen (World Scientific, Singapore, 1988).
  31. D. Kutasov, Phys. Lett. B220 (1989), 153.
  32. S. Chaudhuri and J. A. Schwartz, Phys. Lett. B219 (1989), 291.
  33. C. B. Thorn, Nucl. Phys. B286 (1987), 61.
  34. J. Polchinski, Nucl. Phys. B307 (1988), 61.
  35. E. Verlinde and H. Verlinde, “Lectures In String Perturbation Theory”, Trieste School of Superstrings, April 1988.
  36. T. Kashiwa, Int. J. Mod. Phys. A5 (1989), 375.
  37. M. Rocek and E. Verlinde, IAS Preprint, IASSNS-HEP-91/68, October 1991.
  38. H. Hata, K. Itoh, T. Kugo, H. Kunitomo and K. Ogawa, Prog. Theor. Phys. 77 (1987), 443[PTP].
  39. H. Hata, private communication, unpublished.

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