Abstract
We introduce a novel spinorial description for the higher-spin gauge theory induced by the IKKT matrix model on an FLRW spacetime with Lorentzian signature, called Lorentzian \( \mathfrak{hs} \)-IKKT theory. The new description is based on Weyl spinors transforming under the space-like isometry subgroup SL(2, ℂ) of the structure group SO(2, 4) ≃ SU(2, 2). It allows us to exploit the full power of the spinor formalism in Lorentzian signature, in contrast to a previous formalism based on the compact subgroup SU(2)L × SU(2)R of SU(2, 2). Some cubic vertices of the Yang-Mills sector and the corresponding scattering amplitudes are computed. We observe that the n-point (for n ≥ 4) tree-level amplitudes are typically non-trivial on-shell, but exponentially suppressed in the late-time regime. While Lorentz invariance of the higher-spin amplitudes is not manifest, it is expected to be restored by higher-spin gauge invariance.
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Acknowledgments
We would like to thank the anonymous referees for valuable suggestions in improving the presentation of the paper. This work is supported by the Austrian Science Fund (FWF) grant P36479.
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Steinacker, H.C., Tran, T. Spinorial description for Lorentzian \( \mathfrak{hs} \)-IKKT. J. High Energ. Phys. 2024, 344 (2024). https://doi.org/10.1007/JHEP05(2024)344
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DOI: https://doi.org/10.1007/JHEP05(2024)344