form of) the NSVZ beta function equation. In particular they have nothing to do with rescaling the (super) metric and only involve rescaling the fields $Q$ and $V$. By contrast the third term comes from the anomaly that occurs when performing the Weyl transformations (on the supermetric) that are necessary to go to the Einstein-Kaehler frame starting from the superspace frame of .

However we have derived the relation between the linear multiplet and formulations entirely within the context of the original SUGRA frame (i.e. where the Einstein term occurs with the factor $\exp(-K/3)$). This is in contrast to the formulation in Kähler superspace where the formulation is directly in the Einstein frame. However the latter formulation has an extended symmetry including a $U(1)_{A}$ which is quantum mechanically anomalous. This anomaly of course is the source of the last three terms in . In any case the point is that the linear multiplet chiral multiplet relation discussed in the previous subsections have nothing to do with these terms, which come from transforming from the SUGRA frame to the Einstein frame (and getting to canonically normalized matter and gauge kinetic terms).

String theory considerations
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The relation between string theory calculations, 