ðə ɹˈiːzən ðɪs twˈɪst ɪz ˌɪntɹədˈuːst ɪz ðæt ɪz nˌɑːt ˈæktʃuːəli wˈeɪlɪnvˈɛɹiənt, bˌʌt ɪt kæn biː pɹˈuːvən ðætðə twˈɪstᵻd kˈæɹɪktɚɹ ɪz.
The reason this twist is introduced is that  is not actually Weyl-invariant, but it can be proven that the twisted character  is.