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Sep 10, 2015 at 14:38 comment added Vít Tuček I still think that the group action is the same. What differs is the weight coordinates by which you denote this action and that is because you have a 2-rank group instead of 3-rank one.
Sep 10, 2015 at 14:28 comment added Marion Well, the fields change transform differently under the twisting. This is what I meant. I want to understand how this happens.
Sep 10, 2015 at 13:45 comment added Vít Tuček My (rather poor) understanding of physics (jargon) is that the fields doesn't change representation. Merely, you just forget the action of $SU(2)_R \times SU(2)_I$ and remember from it only the action of the diagonal subgroup.
Sep 10, 2015 at 13:37 comment added Marion Hi, it is physics notation. Thanks for your answer but I think I will require something more closely related to the way the twist works and how the fields change representation.
Sep 10, 2015 at 13:10 history answered Vít Tuček CC BY-SA 3.0