Multiloop amplitudes and vanishing theorems using the pure spinor formalism for the superstring

Jun, 2004
45 pages
Published in:
  • JHEP 09 (2004) 047
e-Print:
Report number:
  • IFT-P-020-2004

Citations per year

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Abstract:
A ten-dimensional super-Poincare covariant formalism for the superstring was recently developed which involves a BRST operator constructed from superspace matter variables and a pure spinor ghost variable. A super-Poincare covariant prescription was defined for computing tree amplitudes and was shown to coincide with the standard RNS prescription. In this paper, picture-changing operators are used to define functional integration over the pure spinor ghosts and to construct a suitable bb ghost. A super-Poincare covariant prescription is then given for the computation of N-point multiloop amplitudes. One can easily prove that massless N-point multiloop amplitudes vanish for N<4, confirming the perturbative finiteness of superstring theory. One can also prove the Type IIB S-duality conjecture that R4R^4 terms in the effective action receive no perturbative contributions above one loop.
  • Superstrings and Heterotic Strings
  • BRST Symmetry
  • Extended Supersymmetry
  • string model
  • supersymmetry: superspace
  • dimension: 10
  • invariance: Poincare
  • operator: Becchi-Rouet-Stora
  • scattering amplitude: higher-order
  • duality