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Equivariant KR-theory of representation sphere
I would like to say my question first.
Let $G$ be a compact Lie group acting on a good space $X$ in a good way. Let $V$ be a $G$-representation whose real dimension may be less than 8, and let $S^V$ ...
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$SO(6) \to SU(2) \times SU(2) \times U(1)$ branching rules
What do these branching rules mean?
\begin{eqnarray*} SO(6)_E &\to& SU(2)_\ell \times SU(2)_r \times U(1)_\Sigma
\end{eqnarray*}
I am taking these examples from a paper of Gukov (on p.51) ...
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