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<div style="text-align: center; margin-left: auto; margin-right: auto;">$$ P_{U( | <div style="text-align: center; margin-left: auto; margin-right: auto;">$$ P_{U(\unicode{x2215}\kern-0.4em S)} \times _{\text{Ad}}U(\unicode{x2215}\kern-0.55em S) $$</div> | ||
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<div style="text-align: center; margin-left: auto; margin-right: auto;">$$ \Gamma^\infty(P_{U( | <div style="text-align: center; margin-left: auto; margin-right: auto;">$$ \Gamma^\infty(P_{U(\unicode{x2215}\kern-0.4em S)} \times _{\text{Ad}}U(\unicode{x2215}\kern-0.55em S)) = \begin{cases} \mathcal{H} \text{ gauge group}\\ \Xi \text{ sigma fields (non-linear)} \end{cases} $$</div> | ||