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Journal Article

More on Quantum Chiral Higher Spin Gravity


Skvortsov,  Evgeny
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Skvortsov, E., Tran, T., & Tsulaia, M. (2020). More on Quantum Chiral Higher Spin Gravity. Physical Review D, 101(10): 106001. doi:10.1103/PhysRevD.101.106001.

Cite as: https://hdl.handle.net/21.11116/0000-0005-D859-4
Chiral Higher Spin Gravity is unique in being the smallest higher spin
extension of gravity and in having a simple local action both in flat and
(anti)-de Sitter spaces. It must be a closed subsector of any other higher spin
theory in four dimensions, which makes it an important building block and
benchmark. Using the flat space version for simplicity, we perform a thorough
study of quantum corrections in Chiral Theory, which strengthen our earlier
results arXiv:1805.00048. Even though the interactions are naively
non-renormalizable, we show that there are no UV-divergences in two-, three-
and four-point amplitudes at one loop thanks to the higher spin symmetry. We
also give arguments that the AdS Chiral Theory should exhibit similar
properties. It is shown that Chiral Theory admits Yang-Mills gaugings with
$U(N)$, $SO(N)$ and $USp(N)$ groups, which is reminiscent of the Chan-Paton
symmetry in string theory.