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Recent developments in Mathematics and Quantum Field Theory

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References

  1. P.A.M. Dirac, “The Principles of Quantum Mechanics”, Oxford University Press (1930).

  2. C.N. Yang and R.L. Mills, Phys. Rev. 96 (1954) 191.

    Article  ADS  MathSciNet  Google Scholar 

  3. R. Utiyama, Phys. Rev. 101 (1956) 1597.

    Article  ADS  MathSciNet  MATH  Google Scholar 

  4. S.L. Glashow and M. Gell-Mann, Ann. Phys. 15 (1961) 437.

    Article  ADS  MathSciNet  MATH  Google Scholar 

  5. E. Cartan, “Sur la Structure des Groupes de Transformations Finis et Continus”, Paris, 1894.

  6. P. Candelas, G. Horowitz, A. Strominger and E. Witten, Nucl. Phys. B 258 (1985) 46.

    Article  ADS  MathSciNet  Google Scholar 

  7. A. Belavin, A. Polyakov and A. Zamolodchikov, Nucl. Phys. B 241 (1984) 333.

    Article  ADS  MathSciNet  MATH  Google Scholar 

  8. E. Witten, Nucl. Phys. B 202 (1982) 253.

    Article  ADS  MathSciNet  Google Scholar 

  9. L. Alvarez-Gaumé, Comm. Math. Phys. 90 (1983) 161; J. Phys. A16 (1983) 4177.

    Article  ADS  MathSciNet  MATH  Google Scholar 

  10. L. Girardello, C. Imbimbo and S. Mukhi, Phys. Lett. 132B (1983) 69.

    ADS  MathSciNet  Google Scholar 

  11. C. Imbimbo and S. Mukhi, Nucl. Phys. B 242 (1984) 81.

    Article  ADS  MathSciNet  Google Scholar 

  12. C. Imbimbo and S. Mukhi, Nucl. Phys. B 263 (1986) 269.

    Article  MathSciNet  Google Scholar 

  13. E. Witten, Comm. Math. Phys. 121 (1989) 351.

    Article  ADS  MathSciNet  MATH  Google Scholar 

  14. V.F.R. Jones, Bull. AMS. 12 (1985) 103.

    Article  MATH  Google Scholar 

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

    ADS  MathSciNet  Google Scholar 

  16. E. Verlinde and H. Verlinde, Nucl. Phys. B 288 (1987) 357.

    Article  ADS  MathSciNet  Google Scholar 

  17. A.K Raina, Expo. Math. 8 (1990) 227.

    MathSciNet  MATH  Google Scholar 

  18. J.D. Fay, “Theta Functions on Riemann Surfaces”, Springer (1973).

  19. S.T. Yau (ed.) “Essay on Mirror Manifolds”, International Press, 1992.

  20. R. Baxter, “Exactly Solved Models of Statistical Mechanics”, Academic Press (1982).

  21. G.E. Andrews, R.J. Baxter and J.P. Forrester, J. Stat. Phys. 35 (1984) 54; E. Date, M. Jimbo, A. Kuniba, T. Miwa and M. Okada, Nucl. Phys. B290 (1987) 231.

    Article  MathSciNet  Google Scholar 

  22. M. Jimbo, Lett. Math. Phys. 10 (1985) 63.

    Article  ADS  MathSciNet  MATH  Google Scholar 

  23. E. Brezin and V. Kazakov, Phys. Lett.B236 (1990) 144; M. Douglas and S. Shenker, Nucl. Phys.B335 (1990) 635; D. Gross and A. Migdal, Phys. Rev. Lett.64 (1990) 127, Nucl. Phys.B340 (1990) 333.

    ADS  MathSciNet  Google Scholar 

  24. E. Witten, Nucl. Phys. B 340 (1990) 281.

    Article  ADS  MathSciNet  Google Scholar 

  25. E. Witten, Surv. Diff. Geom. 1 (1991) 243.

    MathSciNet  Google Scholar 

  26. E. Brezin, V. Kazakov and Al.B. Zamolodchikov, Nucl. Phys.B 338 (1990) 673; D. Gross and N. Miljkovic, Phys. Lett. 238B (1990) 217; P. Ginsparg and J. Zinn-Justin, Phys. Lett. 240B (1990) 333; G. Parisi, Phys. Lett. 238B (1990) 209.

    Article  ADS  MathSciNet  Google Scholar 

  27. S.R. Das and A. Jevicki, Mod. Phys. Lett.A5 (1990) 1639.

    ADS  MathSciNet  Google Scholar 

  28. J. Distler and C. Vafa, Mod. Phys. Lett. A 6 (1991) 259.

    Article  ADS  MathSciNet  MATH  Google Scholar 

  29. J. Harer and D. Zagier, Invent. Math. 85 (1986) 457.

    Article  ADS  MathSciNet  MATH  Google Scholar 

  30. R. Penner, J. Diff. Geom 27 (1988) 35.

    MathSciNet  MATH  Google Scholar 

  31. S. Mukhi and C. Vafa, Preprint No. TIFR/TH/93–01, HUTP-93/A002, January 1993.

  32. P.A.M. Dirac, Proc. Roy. Soc. London A 133 (1931) 60.

    Article  ADS  MATH  Google Scholar 

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Authors and Affiliations

  1. Tata Institute of Fundamental Research, 400005, Bombay, India

    Sunil Mukhi

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  1. Sunil Mukhi
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Mukhi, S. Recent developments in Mathematics and Quantum Field Theory. Pramana - J. Phys. 41 (Suppl 1), 517–523 (1993). https://doi.org/10.1007/BF02908108

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