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Super-Poincaré covariant quantization of the superstring. (English) Zbl 0959.81065
Summary: Using pure spinors, the superstring is covariantly quantized. For the first time, massless vertex operators are constructed and scattering amplitudes are computed in a manifestly ten-dimensional super-Poincare covariant manner. Quantizable non-linear sigma model actions are constructed for the superstring in curved backgrounds, including the $$\text{AdS}_5\times S^5$$ background with Ramond-Ramond flux.

##### MSC:
 81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
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