Multiloop amplitudes and vanishing theorems using the pure spinor formalism for the superstring
Jun, 200445 pages
Published in:
- JHEP 09 (2004) 047
e-Print:
- hep-th/0406055 [hep-th]
Report number:
- IFT-P-020-2004
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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 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 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
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