Spin Field Correlators on an Arbitrary Genus Riemann Surface and Nonrenormalization Theorems in String Theories

Oct, 1986
8 pages
Published in:
  • Phys.Lett.B 186 (1987) 339-346
  • Published: 1987
Report number:
  • SLAC-PUB-4131

Citations per year

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Abstract: (Elsevier)
We calculate the n -point correlation functions of spin fields on an arbitrary genus Riemann surface. We also calculate the corresponding correlators for the spin fields associated with the local supersymmetry ghosts using a specific ansatz for screening the background ghost charge. Using these results we show by explicit calculation that to all orders in the string perturbation theory all n -point amplitudes involving massless fields in the superstring and the heterotic string theory vanish identically for 0 ⩽ n ⩽ 3.
  • MODEL: STRING
  • FIELD THEORY: SPACE-TIME
  • FIELD THEORY: PATH INTEGRAL
  • FIELD THEORY: GHOST
  • N-POINT FUNCTION
  • SUPERSYMMETRY
  • RENORMALIZATION: REGULARIZATION
  • PERTURBATION THEORY: HIGHER-ORDER