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Unification of the General Non-Linear Sigma Model and the Virasoro Master Equation

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References

  1. M.B. Halpern and E. Kiritsis, Mod, Phys. Lett. A4:1373 (1989); Erratum ibid. A4:1797 (1989).

    MathSciNet  ADS  Google Scholar 

  2. M.B. Halpern and J.P. Yamron, Nucl. Phys. B332:411 (1990).

    Article  MathSciNet  ADS  Google Scholar 

  3. A.Yu Morozov, A.M. Perelomov, A.A. Rosly, M.A. Shifman and A.V. Turbiner, Int. J. Mod. Phys. A5:803 (1990).

    MathSciNet  ADS  Google Scholar 

  4. M.B. Halpern, E. Kiritsis, N.A. Obers, M. Porrati and J.P. Yamron, Int. J. Mod. Phys. A5:2275 (1990).

    MathSciNet  ADS  Google Scholar 

  5. M.B. Halpern and N.A. Obers, Comm. Math. Phys. 138:63 (1991).

    Article  MathSciNet  MATH  ADS  Google Scholar 

  6. M.B. Halpern and N.A. Obers, J. Math. Phys. 36:1080 (1995).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  7. M.B. Halpern, E. Kiritsis, N.A. Obers and K. Clubok, “Irrational Conformal Field Theory”, Physics Reports 265:1 (1996).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  8. D. Friedan, “Nonlinear Models in 2 +∈ Dimensions”, PhD thesis, LBL-11517 (1980); Phys. Rev. Lett. 45:1057 (1980).

    Google Scholar 

  9. L. Alvarez-Gaumé, D.Z. Freedman and S. Mukhi, Ann. of Phys. 134:85 (1981).

    Article  ADS  Google Scholar 

  10. C. Lovelace, Phys. Lett. 135B:75 (1984).

    MathSciNet  ADS  Google Scholar 

  11. E.S. Fradkin and A.A. Tseytlin, Nucl. Phys. B261:1 (1985).

    Article  MathSciNet  ADS  Google Scholar 

  12. C.G. Callan, D. Friedan, E.J. Martinec and M.J. Perry, Nucl. Phys. B262:593 (1985).

    Article  MathSciNet  ADS  Google Scholar 

  13. A.A. Tseytlin, Int. J. Mod. Phys. A4:1257 (1989).

    MathSciNet  ADS  Google Scholar 

  14. J. de Boer and M.B. Halpern, Int. J. Mod. Phys. A12:1551 (1997).

    ADS  Google Scholar 

  15. V.G. Kac, Funct, Anal. App. 1:328 (1967); R.V. Moody, Bull. Am. Math. Soc. 73:217 (1967).

    MATH  Google Scholar 

  16. K. Bardakçi and M.B. Halpern, Phys. Rev. D3:2493 (1971).

    ADS  Google Scholar 

  17. M.B. Halpern, Phys. Rev. D4:2398 (1971).

    MathSciNet  ADS  Google Scholar 

  18. R. Dashen and Y. Frishman, Phys. Rev. D11:2781 (1975).

    ADS  Google Scholar 

  19. V.G. Knizhnik and A.B. Zamolodchikov, Nucl. Phys. B247:83 (1984).

    Article  MathSciNet  ADS  Google Scholar 

  20. P. Goddard, A. Kent and D. Olive, Phys. Lett. B152:88 (1985).

    MathSciNet  ADS  Google Scholar 

  21. S.P. Novikov, Usp. Math. Nauk. 37:3 (1982).

    MATH  Google Scholar 

  22. E. Witten, Comm. Math. Phys. 92:455 (1984).

    Article  MathSciNet  MATH  ADS  Google Scholar 

  23. T. Banks, D. Nemeschansky and A. Sen, Nucl. Phys. B277:67 (1986).

    Article  MathSciNet  ADS  Google Scholar 

  24. M.B. Halpern and N.A, Obers, Nucl. Phys. B345:607 (1990).

    Article  MathSciNet  ADS  Google Scholar 

  25. M.B. Halpern and N.A. Obers, J. Math. Phys. 33:3274 (1992).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  26. M.B. Halpern and J.P. Yamron, Nucl. Phys. B351:333 (1991).

    Article  MathSciNet  ADS  Google Scholar 

  27. M.B. Halpern, Recent progress in irrational conformal field theory, in: “Strings 1993”, M.B. Halpern et al., eds., World Scientific, Singapore (1995).

    Google Scholar 

  28. K. Bardakçi, E. Rabinovici and B. Säring, Nucl. Phys. B299:151 (1988); D. Altschuler, K. Bardakçi and E, Rabinovici, Comm. Math. Phys. 118:241 (1988).

    Article  ADS  Google Scholar 

  29. A.A. Tseytlin, Nucl. Phys. B418:173 (1994).

    Article  MathSciNet  ADS  Google Scholar 

  30. J. de Boer, K. Clubok and M.B. Halpern, Int, J. Mod. Phys. A9:2451 (1994).

    ADS  Google Scholar 

  31. M.B. Halpern and N.A. Obers, Int. J. Mod. Phys. A11:4837 (1996).

    MathSciNet  ADS  Google Scholar 

  32. G. Ecker and J. Honercamp, Nucl. Phys, B35:481 (1971).

    Article  ADS  Google Scholar 

  33. J. Honerkamp, Nucl. Phys. B36:130 (1972).

    Article  ADS  Google Scholar 

  34. E.S. Fradkin and A.A. Tseytlin, Phys. Lett. 106B:63 (1981).

    MathSciNet  ADS  Google Scholar 

  35. T.L. Curtright and C.K. Zachos, Phys. Rev. Lett. 53:1799 (1984).

    Article  MathSciNet  ADS  Google Scholar 

  36. S. Gates, C. Hull and M. Roček, Nucl. Phys. B248:157 (1984).

    Article  ADS  Google Scholar 

  37. E. Braaten, T.L. Curtright and C.K. Zachos, Nucl. Phys. B260:630 (1985).

    Article  MathSciNet  ADS  Google Scholar 

  38. S. Mukhi, Nucl. Phys. B264:640 (1986).

    Article  MathSciNet  ADS  Google Scholar 

  39. M.B. Green, J.H. Schwarz and E. Witten, “Superstring Theory”, Cambridge University Press, Cambridge (1987).

    MATH  Google Scholar 

  40. K. Clubok and M.B. Halpern, The generic world-sheet action of irrational conformal field theory, in: “Strings’95”, I. Bars et al., eds., World Scientific, Singapore (1996).

    Google Scholar 

  41. M.B. Halpern, E. Kiritsis and N.A. Obers, in: “Infinite Analysis”; Int. J. Mod. Phys. A7, [Suppl. 1A]:339 (1992).

    MathSciNet  ADS  Google Scholar 

  42. G. Horowitz, The dark side of string theory, in: “String Theory and Quantum Gravity 1992”, hep-th/9210119.

    Google Scholar 

  43. A. Giveon, M.B. Halpern, E. Kiritsis and N.A. Obers, Nucl. Phys. B357:655 (1991).

    Article  MathSciNet  ADS  Google Scholar 

  44. G. Aldazabal, F. Hussain and R. Zhang, Phys. Lett. 185B:89 (1987).

    ADS  Google Scholar 

  45. T. Itoh and M. Takao, Int. J. Mod. Phys. A5:2265 (1990).

    ADS  Google Scholar 

  46. G. Aldazabal and J.M. Maldacena, Int. J. Mod. Phys. A8:3359 (1993).

    MathSciNet  ADS  Google Scholar 

  47. A. Giveon, M.B. Halpern, E. Kiritsis and N.A. Obers, Int. J. Mod. Phys. A7:947 (1992).

    MathSciNet  ADS  Google Scholar 

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de Boer, J., Halpern, M.B. (2002). Unification of the General Non-Linear Sigma Model and the Virasoro Master Equation. In: Damgaard, P.H., Jurkiewicz, J. (eds) New Developments in Quantum Field Theory. NATO Science Series: B:, vol 366. Springer, Boston, MA. https://doi.org/10.1007/0-306-47075-6_6

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  • DOI: https://doi.org/10.1007/0-306-47075-6_6

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-0-306-45816-3

  • Online ISBN: 978-0-306-47075-2

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