Vagueness or Circularity
Either the defender of the correspondence theory of truth offers some accompanying theory of the world, or he or she does not.
If no theory of the world is offered, the argument is so vague as to be useless or even unintelligible: truth would then be supposed to be correspondence to some undefined, unknown or ineffable world. It is difficult to see how a candidate truth could be more certain than the world we are to judge its degree of correspondence against.
On the other hand, immediately the defender of the correspondence theory of truth offers a theory of the world, he or she is operating in some specific ontological or scientific theory, which stands in need of justification. But the only way to support the truth of this theory of the world that is allowed by the correspondence theory of truth is correspondence to the real world. Hence the argument is circular.