Skip to main content
SpringerLink
Log in

From Soliton Theory to String Theory

  • Conference paper
Nonlinear Physics

Part of the book series: Research Reports in Physics ((RESREPORTS))

  • 219 Accesses

Abstract

A transformation of variables which relates soliton theory to string theory is discussed. Scattering amplitudes of bosonic strings with arbitrary momenta off fermionic (compactified bosonic) loops are shown to satisfy Hirota’s bilinear difference equation, which is equivalent to infinite family of Kadomtsev-Petviashvili type of soliton equations.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. M. B. Green and J. M. Schwarz, Nucl. Phys. B181 (1981) 502

    Article  ADS  Google Scholar 

  2. J. M. Schwarz, “Superstring Theory” Phys. Rep. 89C (1982) 223.

    Article  ADS  MathSciNet  Google Scholar 

  3. S.Saito, Tokyo Metropolitan Univ. preprint TMUP-HEL-8813 (1986)

    Google Scholar 

  4. Phys. Rev. D36 (1987) 1819; Phys. Rev. Lett. 59 (1987) 1798

    Google Scholar 

  5. Phys. Rev. D37 (1988) 990

    Google Scholar 

  6. K.Sogo, J.Phys. Soc. Jpn. 56 (1987) 2291.

    Article  ADS  MathSciNet  Google Scholar 

  7. A.Della Selva and S.Saito, Lett. Nuov. Cim. 4 (1970) 689

    Article  Google Scholar 

  8. see, for recent development, P.Di Vecchia, R.Nakayama, J.L.Petersen and S.Sciuto, Nucl. Phys. B282 (1987) 103

    Article  ADS  Google Scholar 

  9. U. Carow-Watamura, Z. F. Ezawa and S. Watamura, Nucl. Phys. B315 (1989) 166.

    Article  ADS  MathSciNet  Google Scholar 

  10. A.A.Belavin and V.Knizhnik, Phys. Lett. 168B (1986) 201

    Article  MATH  MathSciNet  Google Scholar 

  11. Yu.I.Manin, Phys. Lett. 177B (1986) 184

    MathSciNet  Google Scholar 

  12. G.Moore, Phys. Lett. 176B (1986) 369.

    Article  MathSciNet  Google Scholar 

  13. I.M.Krichever, Russian Math. Surveys 32 (1977) 185.

    Article  MATH  ADS  Google Scholar 

  14. M.Sato and Y.Sato, Publ. Res. Inst. Math. Sci. (Kyoto Univ.) 388 (1980) 183

    Google Scholar 

  15. ibid. 414 (1981) 181

    Google Scholar 

  16. M.Sato, ibid.433 (1981) 30

    Google Scholar 

  17. E.Date, M.Jimbo, M.Kashiwara and T.Miwa, J.Phys. Soc. Jpn. 50 (1981) 3806,3813; “Nonlinear Integrable Systems” ed. M.Jimbo and T.Miwa (World Scientific, 1983 ) p. 39.

    Google Scholar 

  18. S.Coleman, Phys. Rev. D11 (1975) 2088; S.Mandelstam, ibid. 3025.

    Google Scholar 

  19. T.Miwa, Proc. Jpn. Acad. 58A (1982) 9

    MATH  MathSciNet  Google Scholar 

  20. E.Date, M.Jimbo and T.Miwa, J. Phys. Soc. Jpn. 51 (1982) 4116, 4125.

    Article  ADS  Google Scholar 

  21. M. A. Namazie, K. S. Narain and M. H. Sarmadi, Phys. Lett. 177B (1986) 329

    MathSciNet  Google Scholar 

  22. T.Eguchi and H.Ooguri, Phys. Lett. 187B (1987) 127

    Article  MathSciNet  Google Scholar 

  23. E. Verlinde and H. Verlinde, Nucl. Phys. B288 (1987) 357.

    Article  ADS  MathSciNet  Google Scholar 

  24. C.Vafa, Phys. Lett. 190B (1987) 47

    Article  MathSciNet  Google Scholar 

  25. L.Alvarez-Gaume, C.Gomez and C.Gomez, Phys. Lett. 190B (1987) 55

    Article  MathSciNet  Google Scholar 

  26. N.Ishibashi, Y.Matsuo and H.Ooguri, Mod. Phys. Lett. A2 (1987) 119.

    Article  ADS  MathSciNet  Google Scholar 

  27. M.Mulase, J.Diff. Geom. 19 (1984) 403

    MATH  MathSciNet  Google Scholar 

  28. T.Shiota, Invent. Math. 83 (1986) 333.

    Article  MATH  ADS  MathSciNet  Google Scholar 

  29. R.Hirota, J.Phys. Soc. Jpn. 50 (1981) 3785; “Nonlinear Integrable Systems” ed. M.Jimbo and T.Miwa (World Scientific, 1983 ) p. 17.

    Google Scholar 

  30. N.Saitoh and S.Saito, TMUP-HEL-8809 (1988).

    Google Scholar 

  31. H.Kato and S.Saito, Lett. Math. Phys. 18 (1989) to be published.

    Google Scholar 

  32. J. D. Fay, “Theta Functions on Riemann Surfaces” ed. A. Dold and B. Eckmann, Lect. Notes in Math. (Springer-Verlag, 1973) Vol.352.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics, Tokyo Metropolitan University, Setagaya-ku, Tokyo 158, Japan

    S. Saito & H. Kato

Authors
  1. S. Saito
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. H. Kato
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. University of Science and Technology of China, 230026, Hefei, Anhui, People’s Rep. of China

    Chaohao Gu  & Yishen Li  & 

  2. Computing Center of Academia Sinica, 100080, Beijing, People’s Rep. of China

    Guizhang Tu

  3. Department of Mathematics, University of Science and Technology of China, 230026, Hefei, Anhui, People’s Rep. of China

    Yunbo Zeng

Rights and permissions

Reprints and permissions

Copyright information

© 1990 Springer-Verlag Berlin, Heidelberg

About this paper

Cite this paper

Saito, S., Kato, H. (1990). From Soliton Theory to String Theory. In: Gu, C., Li, Y., Tu, G., Zeng, Y. (eds) Nonlinear Physics. Research Reports in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84148-4_28

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-84148-4_28

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52389-5

  • Online ISBN: 978-3-642-84148-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation