Noether Currents and Maxwell-Type Equations of Motion in Higher Derivative Gravity Theories

@article{Kugo2021NoetherCA,
  title={Noether Currents and Maxwell-Type Equations of Motion in Higher Derivative Gravity Theories},
  author={Taichiro Kugo},
  journal={Symmetry},
  year={2021},
  volume={13},
  pages={1408}
}
  • T. Kugo
  • Published 24 July 2021
  • Mathematics
  • Symmetry
In general coordinate invariant gravity theories whose Lagrangians contain arbitrarily high order derivative fields, the Noether currents for the global translation and for the Nakanishi’s IOSp(8|8) choral symmetry containing the BRS symmetry as its member are constructed. We generally show that for each of these Noether currents, a suitable linear combination of equations of motion can be brought into the form of a Maxwell-type field equation possessing the Noether current as its source term. 
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