Hello everyone. Does anyone know if it is possible to build a gauge theory with a local ISO(3) symmetry (say a Yang-Mills theory)? By ISO(3) I mean the group composed by three-dimensional rotations and translations, i.e. if ##\phi^I## are three scalars, I'm looking for a symmetry under:(adsbygoogle = window.adsbygoogle || []).push({});

$$

\phi^I\to O^{IJ}\phi^J,

$$

with ##O^{IJ}\in SO(3)## and under:

$$

\phi^I\to\phi^I+a^I.

$$

Thanks!

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# Gauge theory of ISO(3) group

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