# Problem regarding Turing Machine notation

Here I have a Turing Machine (sorry for awful drawing):

So, I have a question regarding the usage of a here. It is treated as a variable here. But since it doesn't alter input tape in any way, shouldn't it be stored in an implicit storage? My question is if this implicit storage (tell me if I am wrong) is in conflict with the fact that a Turing Machine only has a single input tape.

My hunch is that it is syntactic sugar and it can be explicitly defined with less-intuitive notation (another input tape?), but I am not sure.

Say your tape alphabet $\Gamma = \{ 0,1,2,3 \}$, plus the blank symbol. Then you would have a transition from $R$ to $La$ when reading 0, another when reading 1, another when reading 2, another when reading 3, but NOT one when reading a blank.