Question

How to represent su(2) Higgs triplet in 2x2 matrix form?

Answer 1

Hey mate ^_^

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Answer:
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Higgs is a triplet of the weak SU(2) group. Now check this attachment.

So it's a 2×2 matrix created from the triplet/vector V⃗ 3 sandwiched between two doublets. Note that V⃗ 3⋅σ⃗ with the Pauli matrices vector is just a way to write a triplet as a 2×2 matrix, the only way.

#Be Brainly❤️

Answer 2

CHECK OUT THE ATTACHMENT
HOPE IT HELPS ✌

If you have a doublet ϕ ϕ, you can make a triplet out of it, ϕ † → σ ϕ ϕ†σ→ϕ. I'm not sure, whether this is what you mean or need. This combination transforms under the fundamental SO(3).