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Ten–dimensional supergravity constraints from the pure spinor formalism for the superstring,” Nucl. Phys. B635 (2002)
| Citations: | 86 - 15 self |
BibTeX
@MISC{Berkovits02ten–dimensionalsupergravity,
author = {Nathan Berkovits and São Paulo Brasil and Paul Howe},
title = {Ten–dimensional supergravity constraints from the pure spinor formalism for the superstring,” Nucl. Phys. B635},
year = {2002}
}
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Abstract
It has recently been shown that the ten-dimensional superstring can be quantized using the BRST operator Q = ∮ λ α dα where λ α is a pure spinor satisfying λγ m λ = 0 and dα 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. This is shown to lowest order in α ′ for the heterotic and Type II superstrings, thus providing a compact pure spinor version of the ten-dimensional superspace constraints for N = 1, Type IIA and Type IIB supergravities. Since quantization is straightforward using the pure spinor version of the superstring, it is expected that these methods can also For many purposes, superstring theory is most conveniently expressed as an effective field theory of its massless modes consisting of supergravity theory together with corrections arising order by order in α ′. In principle these higher order corrections can be obtained by computing scattering amplitudes or by demanding consistency of the superstring sigma model in a curved
Keyphrases
dimensional supergravity constraint pure spinor version ten-dimensional superstring compact pure spinor version type iib supergravities pure spinor brst operator pure spinor on-shell superspace constraint type iia fermionic supersymmetric derivative many purpose curved supergravity background massless mode supergravity background brst operator ten-dimensional superspace constraint order correction sigma model type ii superstring effective field theory supergravity theory
