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Results tagged with gauge-theory
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user 58158
Gauge theory in physics and mathematics refers to a field theory whose fields include principal bundles with connection.
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Accepted
Computing the Cartan1-form for $Sp(2)$
Here is the answer.
For each $g = \begin{pmatrix} \alpha & \beta \\ \gamma & \delta \end{pmatrix} \in G = GL(2,\mathbb H)$, $\boldsymbol \Theta_G (g)$ is given by $g^{-1}dq$. Now if $g \in Sp(2)$ th …
- 83
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Computing the Cartan1-form for $Sp(2)$
Context:
I must find the Cartan 1-form for $Sp(2)$ before I start dealing with the natural connection of the Hopf fibration $S^3 \hookrightarrow S^7 \overset{\mathcal P}\to S^4$. To do so, the idea i …
- 83