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In the version 1 of this paper, we claimed that 4D ${\cal N}=1$ supergravityformulations with different auxiliary fields can be unified using U(1) gaugesymmetry, whose gauge superfield does not have a kinetic term. However, aftersubmission, we found a critical error in our statement. This is the note on thepaper of the version 1.

Note on "Equivalence Between Different Auxiliary Field Formulations of ${\cal N}=1$ Supergravity Coupled to Matter"