Abstract
Higher spin gravities do not have a low energy limit where higher-spin fields decouple from gravity. Nevertheless, it is possible to construct fine-tuned exact solutions that activate low-spin fields without sourcing the higher-spin fields. We show that BPST (Belavin-Polyakov-Schwartz-Tyupkin) instanton is an exact solution of Chiral Higher Spin Gravity, i.e. it is also a solution of the holographic dual of Chern-Simons matter theories. This gives an example of a low-spin solution. The instanton sources the opposite helicity spin-one field and a scalar field. We derive an Effective Field Theory that describes the coupling between an instanton and the other two fields, whose action starts with the Chalmers-Siegel action and has certain higher derivative couplings.
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Acknowledgments
We are grateful to Per Sundell for suggesting a different problem, which turned out to be much more difficult and whose transmutation resulted in this project. We are also grateful to Dmitry Ponomarev, Per Sundell and Tung Tran for useful comments on the draft. This project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No 101002551).
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ArXiv ePrint: 2403.17148
Evgeny Skvortsov is a Research Associate of the Fund for Scientific Research — FNRS, Belgium and is also at Lebedev Institute of Physics.
Evgeny Skvortsov and Yihao Yin are first authors, in alphabetical order.
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Skvortsov, E., Yin, Y. Low spin solutions of higher spin gravity: BPST instanton. J. High Energ. Phys. 2024, 32 (2024). https://doi.org/10.1007/JHEP07(2024)032
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DOI: https://doi.org/10.1007/JHEP07(2024)032