Ten-dimensional supergravity constraints from the pure spinor formalism for the superstring

@article{Berkovits2001TendimensionalSC,
  title={Ten-dimensional supergravity constraints from the pure spinor formalism for the superstring},
  author={N. Berkovits and P. Howe},
  journal={Nuclear Physics},
  year={2001},
  volume={635},
  pages={75-105}
}
Abstract It has recently been shown that the ten-dimensional superstring can be quantized using the BRST operator Q =∮ λ α d α , where λ α is a pure spinor satisfying λγ m λ =0 and d α is the fermionic supersymmetric derivative. In this paper, the pure spinor version of superstring theory is formulated in a curved supergravity background and it is shown that nilpotency and holomorphicity of the pure spinor BRST operator imply the on-shell superspace constraints of the supergravity background… Expand
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