, Volume 35, Issue 3, pp 205–286 | Cite as

Some aspects of conformal field theories on the plane and higher genus Riemann surfaces

  • Ashoke Sen


We review some aspects of conformal field theories on the plane as well as on higher genus Riemann surfaces.


Conformal field theory Riemann surfaces 




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  1. Anderson G and Moore G 1988Commun. Math. Phys. 117 441MATHCrossRefADSMathSciNetGoogle Scholar
  2. Arnold P and Mattis M 1988Nucl. Phys. B295 363CrossRefADSMathSciNetGoogle Scholar
  3. Bagger J, Nemeschansky D and Zuber J B 1988Phys. Lett. B216 320ADSMathSciNetGoogle Scholar
  4. Behra N, Malik R P and Kaul R 1990Phys. Rev. D41 478ADSGoogle Scholar
  5. Belavin A A, Polyakov A M and Zamolodchikov A B 1984Nucl. Phys. B241 333CrossRefADSMathSciNetGoogle Scholar
  6. Bern Z and Dunbar D 1988Phys. Lett. B203 109ADSMathSciNetGoogle Scholar
  7. Block B and Yankielowicz S 1989Phys. Lett. B226 279ADSGoogle Scholar
  8. Capelli A, Itzykson C and Zuber J B 1987aNucl. Phys. B280 445CrossRefADSGoogle Scholar
  9. Capelli A, Itzykson C and Zuber J B 1987bCommun. Math. Phys. 113 1CrossRefADSGoogle Scholar
  10. Cardy J 1986aNucl. Phys. B270 186CrossRefADSMathSciNetGoogle Scholar
  11. Cardy J 1986bNucl. Phys. B275 200CrossRefADSMathSciNetGoogle Scholar
  12. Christie P and Ravanini F 1989Phys. Lett. B217 252ADSGoogle Scholar
  13. Crnkovic C, Sotkov G M and Stanishkov M 1989Phys. Lett. B220 397;Phys. Lett. B222 217ADSMathSciNetGoogle Scholar
  14. Dotsenko V S and Fateev V A 1984Nucl. Phys. 240 312CrossRefADSMathSciNetGoogle Scholar
  15. Dotsenko V S and Fateev V A 1985Nucl. Phys. B251 691CrossRefADSMathSciNetGoogle Scholar
  16. Durganandini P 1990 Bhubaneswar preprint IP-BBSR/89-34 to appear inNucl. Phys. B Google Scholar
  17. Eguchi T and Ooguri H 1988bNucl. Phys. B313 492ADSMathSciNetGoogle Scholar
  18. Eguchi T and Ooguri H 1987Nucl. Phys. B282 308CrossRefADSMathSciNetGoogle Scholar
  19. Eguchi T and Ooguri H 1988aPhys. Lett. B203 44ADSMathSciNetGoogle Scholar
  20. Farkas H M and Kra I 1980Riemann surfaces (New York: Springer Verlag)MATHGoogle Scholar
  21. Fateev V A and Zamolodchikov A B 1987Nucl. Phys. B280 644CrossRefADSMathSciNetGoogle Scholar
  22. Felder G 1989Nucl. Phys. B317 215CrossRefADSMathSciNetGoogle Scholar
  23. Foda O 1990Nucl. Phys. B336 691CrossRefADSMathSciNetGoogle Scholar
  24. Friedan D 1984 in 1982 Les Housches summer schoolRecent advances in field theory and statistical mechanics (eds) J B Zuber and R Stora (North Holland)Google Scholar
  25. Friedan D and Shenker S H 1987Nucl. Phys. B281 509CrossRefADSMathSciNetGoogle Scholar
  26. Friedan D, Qui Z and Shenker S H 1984aPhys. Rev. Lett. 52 1575CrossRefADSMathSciNetGoogle Scholar
  27. Friedan D, Qiu Z and Shenker S H 1984bin Vertex operators in mathematics and physics (eds) J Lepowskiet al p. 419Google Scholar
  28. Friedan D, Qiu Z and Shenker S H 1985Phys. Lett. B151 37ADSMathSciNetGoogle Scholar
  29. Gepner D 1987Nucl. Phys. B287 111CrossRefADSMathSciNetGoogle Scholar
  30. Gepner D and Witten E 1987Nucl. Phys. B285 423CrossRefADSGoogle Scholar
  31. Harvey J and Minahan J 1987Phys. Lett. B188 44ADSMathSciNetGoogle Scholar
  32. Harvey J, Moore G and Vafa C 1988Nucl. Phys. B304 289ADSMathSciNetGoogle Scholar
  33. Ishibashi N and Onogi T 1989Nucl. Phys. B318 239CrossRefADSMathSciNetGoogle Scholar
  34. Jayaraman T and Narain K S 1988 preprint IC/88/306Google Scholar
  35. Kiritsis E B 1989Nucl. Phys. B324 475CrossRefADSMathSciNetGoogle Scholar
  36. Kiritsis E B 1990Nucl. Phys. B329 591CrossRefADSMathSciNetGoogle Scholar
  37. Knizhnik V G and Zamolodchikov A B 1984Nucl. Phys. B247 83CrossRefADSMathSciNetGoogle Scholar
  38. Lewellen D C 1989Nucl. Phys. B320 345CrossRefADSMathSciNetGoogle Scholar
  39. Mathur S D and Mukhi S 1988Phys. Lett. B210 133ADSMathSciNetGoogle Scholar
  40. Mathur S D and Sen A 1989Phys. Lett. B218 176ADSMathSciNetGoogle Scholar
  41. Mathur S D, Mukhi S and Sen A 1988Nucl. Phys. B305 219CrossRefADSMathSciNetGoogle Scholar
  42. Mathur S D, Mukhi S and Sen A 1988Phys. Lett. B213 303ADSMathSciNetGoogle Scholar
  43. Mathur S D, Mukhi S and Sen A 1989Nucl. Phys. B312 15CrossRefADSMathSciNetGoogle Scholar
  44. Moore G and Seiberg N 1988Phys. Lett. B212 451ADSMathSciNetGoogle Scholar
  45. Moore G and Seiberg N 1989Nucl. Phys. B313 16CrossRefADSMathSciNetGoogle Scholar
  46. Mukhi S, Panda S and Sen A 1989Nucl. Phys. B326 351CrossRefADSMathSciNetGoogle Scholar
  47. Mumford D 1983Tata lectures on theta I, II (Birkahuser, Basel, 1983)Google Scholar
  48. Naculich S G 1989Nucl. Phys. B323 423CrossRefADSMathSciNetGoogle Scholar
  49. Nelson P 1987Phys. Rep. 149 337CrossRefADSMathSciNetGoogle Scholar
  50. Ogg A 1973 inmodular functions of one variable I Proc. Int. Summer School Univ. of Antwerp, RUCA, 1972Google Scholar
  51. Panda S and Rao S 1989Phys. Lett. B215 530ADSMathSciNetGoogle Scholar
  52. Polyakov A M 1981Phys. Lett. B103 207ADSMathSciNetGoogle Scholar
  53. Sagnotti A 1987 Rome Univ. preprint ROM 2F-87/25Google Scholar
  54. Sen A 1990Nucl. Phys. B334 350CrossRefADSGoogle Scholar
  55. Sonoda H 1988Nucl. Phys. B311 401, 417CrossRefADSMathSciNetGoogle Scholar
  56. Vafa C 1988Phys. Lett. B199 195ADSMathSciNetGoogle Scholar
  57. Vafa C 1988Phys. Lett. B206 421ADSMathSciNetGoogle Scholar
  58. Verlinde E 1988Nucl. Phys. B300 360CrossRefADSMathSciNetGoogle Scholar
  59. Zamolodchikov Al B 1989Nucl. Phys. B316 573CrossRefADSMathSciNetGoogle Scholar
  60. Zamolodchikov A B and Fateev V A 1984Sov. Phys. JETP 63 913Google Scholar
  61. Zamolodchikov A B and Fateev V A 1985Sov. Phys. JETP 62 215MathSciNetGoogle Scholar

Copyright information

© the Indian Academy of Sciences 1990

Authors and Affiliations

  • Ashoke Sen
    • 1
  1. 1.Tata Institute of Fundamental ResearchBombayIndia

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