Abstract
11D pure spinors have been shown to successfully describe 11D supergravity in a manifestly super-Poincaré covariant manner. The feasibility of its actual usage for scattering amplitude computations requires an efficient manipulation of the superfields defining linearized 11D supergravity. In this paper, we directly address this problem by finding the superspace expansions of these superfields, at all orders in θ, from recursive relations their equations of motion obey in Harnad-Shnider-like gauges. After introducing the 11D analogue of the 10D \( \mathcal{ABC} \) superparticle, we construct, for the first time, a fully covariant vertex operator for 11D supergravity by making use of the linearized 11D superfields. Notably, we show that this vertex reproduces the Green-Gutperle-Kwon 11D operators in light-cone gauge.
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Acknowledgments
We are grateful to Nathan Berkovits and Carlos Mafra for providing valuable comments on an early draft of this work. We would also like to thank Oliver Schlotterer and Henrik Johansson for useful discussions on related topics. This research was supported in part by the Knut and Alice Wallenberg Foundation under grants KAW 2018.0116 (From Scattering Amplitudes to Gravitational Waves) and KAW 2018.0162 (Exploring a Web of Gravitational Theories through Gauge-Theory Methods), as well as the Ragnar Söderberg Foundation (Swedish Foundations’ Starting Grant).
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Ben-Shahar, M., Guillen, M. Superspace expansion of the 11D linearized superfields in the pure spinor formalism, and the covariant vertex operator. J. High Energ. Phys. 2023, 18 (2023). https://doi.org/10.1007/JHEP09(2023)018
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DOI: https://doi.org/10.1007/JHEP09(2023)018