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Are there names for $image(ch \cdot \beta)$ and $cokernel(ch \cdot \beta)$?
You might call image and cokernel of the composite maps, all the way from M-theory, through string theory, to effective field theory, the “real non-perturbatively corrected” Landscape and Swampland.
As you know, Tom Banks’ recent rant was all about how that “real non-perturbaitive” Landscape/Swampland should be entirely different from the naive EFT picture of the Landscape/Swampland (corresponding here to image/cokernel of just $ch$ itself). But I don’t recall that he used any particularly catchy phrase for the distinction.
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